David tong quantum hall effect - This is the author accepted manuscript. The final version is available from APS via http://dx.doi.org/10.1103/PhysRevB.92.235125

 
in the thinking about the fractional quantum Hall e↵ect is somewhat lower than that of the integer e↵ect. Instead, we will paint a compelling picture, using a number of di↵erent approaches, to describe what’s going on. 3.1 Laughlin States The first approach to the fractional quantum Hall e↵ect was due to Laughlin17,who . Services offered by hamlett spay and neuter clinic

David Tong: Lectures on Statistical Field Theory. These lecture notes provide a detailed introduction to phase transitions and the renormalisation group, aimed at "Part III" (i.e. masters level) students. The lecture notes come in around 130 pages and can be downloaded below. PDF HTML.Over the past 40 years, the quantum Hall effect (QHE) has inspired new theories and led to experimental discoveries in a range of fields going beyond solid-state electronics to photonics and ... Contents Contents i List of Figures v List of Tables ix 0.1 Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xii D. Tong, A quantum Hall fluid of vortices, JHEP 02 (2004) 046 [hep-th/0306266] . Article ADS MathSciNet Google Scholar D. Tong and C. Turner, Quantum Hall effect in supersymmetric Chern-Simons theories, Phys. Rev. B 92 (2015) 235125 [arXiv:1508.00580] .David Tong: Lectures on Cosmology. This is a course on cosmology, aimed at final year undergraduate students. It assumes a background in neither general relativity nor statistical mechanics. The full lecture notes come in around 170 pages. Please do email me if you find any typos or mistakes. PDF HTML Content . 1. The Expanding Universe: PDFThe purpose of these lectures is to describe the basic theoretical structures underlying the rich and beautiful physics of the quantum Hall effect. The focus is on the interplay between microscopic wavefunctions, long-distance effective Chern-Simons theories, and the modes which live on the boundary. The notes are aimed at graduate students in ...Department of Physics and AstronomyThe quantum Hall effect is a prototypical realization of a topological state of matter. It emerges from a subtle interplay between topology, interactions and disorder 1,2,3,4,5,6,7,8,9.The ... David Tong: Lectures on Supersymmetric Quantum Mechanics. These are introductory lectures on supersymmetric quantum mechanics, aimed at Masters students. They describe some applications of quantum mechanics to ideas in geometry. The lecture notes are around 100 pages. Please do email me if you find any typos or mistakes. PDF. Content. Abstract. We discuss anomalous fractional quantum Hall effect that exists without external magnetic field. We propose that excitations in such systems may be described effectively by non-interacting particles with the Hamiltonians defined on the Brillouin zone with a branch cut. Hall conductivity of such a system is expressed through …4.3.4 There is a Subject Called Topological Quantum Computing 142 5. Chern-Simons Theories 143 5.1 The Integer Quantum Hall Effect 144 5.1.1 The Chern-Simons Term 146 5.1.2 An Aside: Periodic Time Makes Things Hot 148 5.1.3 Quantisation of the Chern-Simons level 150 5.2 The Fractional Quantum Hall Effect 153Defining the Quantum Computer - Qubits are the encoded information of quantum computers. Learn how the superposition of qubits allows quantum computers to work on a million computa...ADHM and the 4d Quantum Hall Effect. Alec Barns-Graham, Nick Dorey, Nakarin Lohitsiri, David Tong, Carl Turner. Yang-Mills instantons are solitonic particles in d=4+1 dimensional gauge theories. We construct and analyse the quantum Hall states that arise when these particles are restricted to the lowest Landau level.PDF | This is class notes (made by student and teacher) on Quantum Hall effect, taught in IIT Bhilai on Nov, ... David Tong arXiv:1606.06687 [hep-th] Recommended publications. Discover more. Chapter.David Tong: Lectures on Supersymmetry. This is a course of supersymmetric field theory given to Part III (i.e. masters level) students. It covers the basics of supersymmetric field theories, as well as more advanced topics such as Seiberg duality. Please do email me if you find any typos or mistakes.This question is about obtaining the boundary action from Chern-Simons theory. While reading David Tong's chapter 6 on quantum Hall effect, I cannot derive an equation between (6.9) and (6.10) of theFractional Quantum Hall Effect (FQHE) is a typical strong-correlated system. Jain proposed his composite fermion (CF) theory in 1989 in which CF is introduced as a weakly coupled degree of freedom. For a pedagogical review of the CF theory, see David Tong's lecture [2]. We use Density Functional Theory (DFT) to compute FQHE in CF theory in …David Tong: Lectures on Classical Dynamics. This is a second course in classical mechanics, given to final year undergraduates. They were last updated in January 2015. Individual chapters and problem sheets are available below. The full set of lecture notes, weighing in at around 130 pages, can be downloaded here: PostScript PDF HTML.David Tong: Lectures on Quantum Field Theory Full playlist can be found here - https://www.youtube.com/playlist?list=PLaNkJORnlhZlVkrpQVvCTVvGAMIlXL88Y These...The purpose of these lectures is to describe the basic theoretical structures underlying the rich and beautiful physics of the quantum Hall effect. The focus is on the interplay between microscopic wavefunctions, long-distance effective Chern-Simons theories, and the modes which live on the boundary. The notes are aimed at graduate …Abstract. Two-dimensional electron systems in a high magnetic field behave very strangely. They exhibit rational fractional quantum numbers and contain exactly fractionally charged particles. Electrons seem to absorb magnetic flux quanta, altering their statistics and consuming the magnetic field. They condense into a manifold of novel …arxiv; journals. Contributor. Internet Archive. The purpose of these lectures is to describe the basic theoretical structures underlying the rich and beautiful physics of …The quantum Hall effect. Modern electronics is being transformed as device size decreases to a size where the dimensions are significantly smaller than the constituent electron's mean free path. In such systems the electron motion is strongly confined resulting in dramatic changes of behaviour compared to the bulk.Published 21 June 2016. Physics. The purpose of these lectures is to describe the basic theoretical structures underlying the rich and beautiful physics of the quantum Hall effect. The focus is on the interplay between microscopic wavefunctions, long-distance effective Chern-Simons theories, and the modes which live on the boundary.David Tong: Lectures on String Theory. These lecture notes provide a detailed introduction to the bosonic string and conformal field theory, aimed at "Part III" (i.e. masters level) students. The full set of lectures notes can be downloaded here and weigh in at around 210 pages. Individual sections can be downloaded below.Kwant is a free (open source) Python package for numerical calculations on tight-binding models with a strong focus on quantum transport. It is designed to be flexible and easy to use. Thanks to the use of innovative algorithms, Kwant is often faster than other available codes, even those entirely written in the low level FORTRAN and C/C++ ...1.3 Quantum Hall Effects 10 1.3.1 Integer Quantum Hall Effect 11 1.3.2 Fractional Quantum Hall Effect 13 1.4 Landau Levels 14 1.4.1 Landau Gauge 18 1.4.2 Turning on an Electric Field 21 1.4.3 Symmetric Gauge 22 1.5 Berry Phase 27 1.5.1 Abelian Berry Phase and Berry Connection 28 1.5.2 An Example: A Spin in a Magnetic Field 32 David Tong: Lectures on Electromagnetism. These lecture notes provide a comprehensive introduction to Electromagnetism, aimed at undergraduates. Individual chapters and problem sheets are available below. The full set of lecture notes come in around 230 pages and can be downloaded here. Please do email me if you find any typos or corrections. This phenomenon turns out to be fundamentally quantum mechanical, and is known as the quantum Hall effect. ... [24] David Tong. The Quantum Hall effect. TIFR ...Lectures on the Quantum Hall Effect by David Tong [2016/06] 230+ pp. Re: CHERN-SIMONS: Lectures on the Quantum Hall Effect by David Tong [2016/06] 230+ pp. Re: FERROMAGNETISM: Quantum Hall Ferromagnets by Tin-Lun Ho [Phys. Rev. Lett. 73, 874 (1994)] The Quantum Hall Effect: Novel Excitations and Broken Symmetries by Steven M. Girvin [1999/07]The Quantum Hall Effect: Novel Excitations and Broken Symmetries. Steven M. Girvin (Indiana University) These pedagogical lecture notes present a general …ADHM and the 4d Quantum Hall Effect. Alec Barns-Graham, Nick Dorey, Nakarin Lohitsiri, David Tong, Carl Turner. Yang-Mills instantons are solitonic particles …D. Tong, A quantum Hall fluid of vortices, JHEP 02 (2004) 046 [hep-th/0306266] . Article ADS MathSciNet Google Scholar D. Tong and C. Turner, Quantum Hall effect in supersymmetric Chern-Simons theories, Phys. Rev. B 92 (2015) 235125 [arXiv:1508.00580] .In this paper we show that classical fluid dynamics in a plane is a gauge theory useful for studying aspects of the quantum Hall system. ... Quantum Hall effect in supersymmetric Chern-Simons theories. David Tong and Carl Turner. 15 December 2015 | …David Tong: Cosmology. This is an old page that is not maintained. The current page with lecture notes can be found here.1.3 Quantum Hall Effects 10 1.3.1 Integer Quantum Hall Effect 11 1.3.2 Fractional Quantum Hall Effect 13 1.4 Landau Levels 14 1.4.1 Landau Gauge 18 1.4.2 Turning on an Electric Field 21 1.4.3 Symmetric Gauge 22 1.5 Berry Phase 27 1.5.1 Abelian Berry Phase and Berry Connection 28 1.5.2 An Example: A Spin in a Magnetic Field 32 David Tong: Lectures on Supersymmetric Quantum Mechanics. These are introductory lectures on supersymmetric quantum mechanics, aimed at Masters students. They describe some applications of quantum mechanics to ideas in geometry. The lecture notes are around 100 pages. Please do email me if you find any typos or mistakes. PDF. Content. We introduce a supersymmetric Chern-Simons theory whose low energy physics is that of the fractional quantum Hall effect. The supersymmetry allows us to solve the theory analytically. Lectures on the Quantum Hall Effect by David Tong [2016/06] 230+ pp. Re: CHERN-SIMONS: Lectures on the Quantum Hall Effect by David Tong [2016/06] 230+ pp. Re: FERROMAGNETISM: Quantum Hall Ferromagnets by Tin-Lun Ho [Phys. Rev. Lett. 73, 874 (1994)] The Quantum Hall Effect: Novel Excitations and Broken Symmetries by Steven M. Girvin [1999/07] The late Sidney Coleman taught the quantum field theory course at Harvard for many years, influencing a generation of physicists in the way they view and teach QFT. Below you can find the pdf files of handwritten lecture notes for Coleman's course (transcribed by Brian Hill). The notes come in two large files, each around 6.5 Mb.I've been trying to understand IQHE by reading these lecture notes by David Tong. Mainly, I was trying to understand the quantized hall resistivity in terms of the number of Landau levels crossing the fermi energy. Then, I began thinking about why spin induced Zeeman splitting is never really mentioned in the context of IQHE.Professor David Tong. Professor of Theoretical Physics Fellow of Trinity College High Energy Particle Physics Group Department of Applied Mathematics and Theoretical Physics. University of Cambridge Email d.tong at damtp dot cam dot ac dot uk Office: +44 (0)1223 337874 DAMTP, Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA The original, classical Hall effect was discovered in 1879 by Edwin Hall. It is a simple consequence of the motion of charged particles in a magnetic field. The setup for the same is as follows, consider a rectangular bar with thickness, t, Length L, and width W, as shown in Fig 1. Now a constant current along the x axis is passed. The quantum Hall effect, fundamental in modern condensed matter physics, continuously inspires new theories and predicts emergent phases of matter. Here we experimentally demonstrate three types of Chern insulators with synthetic dimensions on a programable 30-qubit-ladder superconducting processor. We directly measure the band …The quantum Hall effect, fundamental in modern condensed matter physics, continuously inspires new theories and predicts emergent phases of matter. Here we experimentally demonstrate three types of Chern insulators with synthetic dimensions on a programable 30-qubit-ladder superconducting processor. We directly measure the band structures of the 2D Chern insulator along synthetic dimensions ...The second technique is Chern–Simons field theory. Originally a product of the imaginations of the mathematicians S. S. Chern and J. Simons, it first entered particle physics in the work of Deser, Jackiw, and Templeton [10], and then condensed matter [11–14]. I will describe its role in the FQHE after introducing the problem to you. David Tong: Lectures on Applications of Quantum Mechanics. This is an advanced course on quantum mechanics. It covers a wide range of topics, including an introduction to condensed matter physics and scattering theory. Please do email me if you find any typos or mistakes. David Tong, Theoretical Physicist at the University of Cambridge. Contact; Biography; Research. ... Supersymmetry and the Quantum Hall Effect, at ICTS, Bangalore. Colloquium Level Presentations . The Quantum Hall Effect PDF ... Quantum Hall Matrix Models PDF (20 Mb) Non-Relativistic Superconformal Theories PDF ...1.2 The Classical Hall Effect 6 1.2.1 Classical Motion in a Magnetic Field 6 1.2.2 The Drude Model 7 1.3 Quantum Hall Effects 10 1.3.1 Integer Quantum Hall Effect 11 1.3.2 Fractional Quantum Hall Effect 13 1.4 Landau Levels 14 1.4.1 Landau Gauge 18 1.4.2 Turning on an Electric Field 21 1.4.3 Symmetric Gauge 22 1.5 Berry Phase 27Video Lectures on Quantum Field Theory. These are videos of the lectures given at the Perimeter Institute PSI programme in 2009. Each video is in wmv format and somewhere around 130 Mb. More formats are available for download at the Perimeter Institute webpage . The lectures follow the printed notes which are available on the main quantum field ... Lectures on the Quantum Hall Effect by David Tong [2016/06] 230+ pp. Re: CHERN-SIMONS: Lectures on the Quantum Hall Effect by David Tong [2016/06] 230+ pp. Re: FERROMAGNETISM: Quantum Hall Ferromagnets by Tin-Lun Ho [Phys. Rev. Lett. 73, 874 (1994)] The Quantum Hall Effect: Novel Excitations and Broken Symmetries by Steven M. Girvin [1999/07] Talk. Speaker: Prof. David Tong. Title: The Quantum Hall Effect. Abstract: Take a bunch of electrons, restrict them to move in a plane, and turn on a magnetic field. This gives rise to some of the most beautiful and surprising results in physics. I’ll give an overview of this subject and describe the deep connections with the mathematics of ...Take an immersive audio visual tour of IBM's Q lab where the company researches quantum computers. IBM just released an immersive audio visual tour of their Q lab, where the compan...The experimental data for the Hall resistivity shows a number of plateaux labelled by an integer ⌫.Meanwhile,theenergyspectrumforms Landau levels, also labelled by an integer. Each Landau level can accommodate a large, but finite number of electrons. E k n=1 n=2 n=3 n=4 n=5 n=0 Figure 12: Integer quantum Hall e↵ect Figure 13: Landau levels David Tong: Lectures on Classical Dynamics. This is a second course in classical mechanics, given to final year undergraduates. They were last updated in January 2015. Individual chapters and problem sheets are available below. The full set of lecture notes, weighing in at around 130 pages, can be downloaded here: PostScript PDF HTML. Jan 1, 2016 · David Tong is a professor of theoretical physics at DAMTP in Cambridge, a fellow of Trinity College, Cambridge, and joint recipient of the 2008 Adams Prize. He was a postdoc at the MIT Center for Theoretical Physics and an adjunct professor at the Tata Institute of Fundamental Research (TIFR).He is currently also a Simons Investigator. Hiap Tong Corporation News: This is the News-site for the company Hiap Tong Corporation on Markets Insider Indices Commodities Currencies StocksThe original, classical Hall effect was discovered in 1879 by Edwin Hall. It is a simple consequence of the motion of charged particles in a magnetic field. The setup for the same is as follows, consider a rectangular bar with thickness, t, Length L, and width W, as shown in Fig 1. Now a constant current along the x axis is passed. These lecture notes provide an introduction to the basic physics of non-Abelian gauge theories in four dimensions, and other strongly coupled field theories in lower dimensions. They are aimed at beginning graduate students. The lecture notes are long (around 400 pages), but bite-sized chunks can be downloaded below. PDF. The original, classical Hall effect was discovered in 1879 by Edwin Hall. It is a simple consequence of the motion of charged particles in a magnetic field. The setup for the same is as follows, consider a rectangular bar with thickness, t, Length L, and width W, as shown in Fig 1. Now a constant current along the x axis is passed.We investigate numerically the integer quantum Hall effect (IQHE) in a two-dimensional square lattice with non-interacting electrons subjected to disorder and uniform magnetic field in a direction perpendicular to the lattice plane. We employ nearest-neighbor tight-binding Hamiltonian to describe the system and obtain the longitudinal and …The quantum Hall effect is a prototypical realization of a topological state of matter. It emerges from a subtle interplay between topology, interactions and disorder 1,2,3,4,5,6,7,8,9.The ...Over the past 40 years, the quantum Hall effect (QHE) has inspired new theories and led to experimental discoveries in a range of fields going beyond solid-state electronics to photonics and ...David Tong: Lectures on Cosmology. This is a course on cosmology, aimed at final year undergraduate students. It assumes a background in neither general relativity nor statistical mechanics. The full lecture notes come in around 170 pages. Please do email me if you find any typos or mistakes. PDF HTML Content . 1. The Expanding Universe: PDFThis non-linear Hall effect has a quantum origin: it is related to the geometric properties of the electronic wavefunctions and encoded in the dipole moment of the Berry curvature. Here, the general theory underpinning this effect is reviewed and various material platforms where non-linear Hall transverse responses have been found are discussed. Lectures on the Quantum Hall Effect by David Tong [2016/06] 230+ pp. Re: CHERN-SIMONS: Lectures on the Quantum Hall Effect by David Tong [2016/06] 230+ pp. Re: FERROMAGNETISM: Quantum Hall Ferromagnets by Tin-Lun Ho [Phys. Rev. Lett. 73, 874 (1994)] The Quantum Hall Effect: Novel Excitations and Broken Symmetries by Steven M. Girvin [1999/07] The quantum Hall effect (or integer quantum Hall effect) is a quantized version of the Hall effect which is observed in two-dimensional electron systems subjected to low temperatures and strong magnetic fields, in which the Hall resistance R xy exhibits steps that take on the quantized values = =, where V Hall is the Hall voltage, I channel is the channel current, e …analyze the Hall effect in the plateau region relative to the fundamental value 2 h/e i expected in the simple one-electron picture for integer filling factors of Landau levels. Subsequent work in my laboratory in Wiirzburg using a super­ conducting solenoid confirmed the constancy of the Hall resistance both in Dorda's samples and in samples supplied by … The late Sidney Coleman taught the quantum field theory course at Harvard for many years, influencing a generation of physicists in the way they view and teach QFT. Below you can find the pdf files of handwritten lecture notes for Coleman's course (transcribed by Brian Hill). The notes come in two large files, each around 6.5 Mb. Lectures on the Quantum Hall Effect by David Tong [2016/06] 230+ pp. Re: CHERN-SIMONS: Lectures on the Quantum Hall Effect by David Tong [2016/06] 230+ pp. Re: FERROMAGNETISM: Quantum Hall Ferromagnets by Tin-Lun Ho [Phys. Rev. Lett. 73, 874 (1994)] The Quantum Hall Effect: Novel Excitations and Broken Symmetries by Steven M. Girvin [1999/07] David Tong and Carl Turner Phys. Rev. B 92, 235125 – Published 15 December 2015. ... We introduce a supersymmetric Chern-Simons theory whose low energy physics is that of the fractional quantum Hall effect. The supersymmetry allows us to solve the theory analytically.In classical Hall effect, the conductivity tensor is given as $\sigma = \frac{\sigma_{DC}}{1+\omega_B^2 \tau^2} ... $\begingroup$ This is from Lecture notes on Quantum Hall Effect by David Tong. It is from the first chapter, 1.2.2 The Drude model. $\endgroup$ – Nugi. Sep 10, 2019 at 6:09 in the thinking about the fractional quantum Hall e↵ect is somewhat lower than that of the integer e↵ect. Instead, we will paint a compelling picture, using a number of di↵erent approaches, to describe what’s going on. 3.1 Laughlin States The first approach to the fractional quantum Hall e↵ect was due to Laughlin17,who Tong ended up connecting the fluids on Earth to the quantum Hall effect again, but through a different approach, using the language of quantum field theory. When he tweaked the variables in the fluid flow equations, he found that those equations were equivalent to Maxwell-Chern-Simons theory, which describes how electrons move in a magnetic field.David Tong: Lectures on Statistical Physics. This is an introductory course on Statistical Mechanics and Thermodynamics given to final year undergraduates. They were last updated in May 2012. Full lecture notes come in around 190 pages. Individual chapters and problem sets can also be found below. PDF HTML Español.... Hall and S.Y. Tong, J. Vac. Sci. Tech. 20, 578 ... 224) "Quantum Size Effect in Low Energy Electron ... Tong, David Wisbey, Ya. B. Losovyj, Ning Wu, M. Manno ...This paper replaces all my former work on the Quantum Hall Effects. It has the DOI: 10.13140/RG.2.1.3864.7766. Download Free PDF View PDF. Physical Review Letters. Topological Hubbard Model and Its High-Temperature Quantum …Over the past 40 years, the quantum Hall effect (QHE) has inspired new theories and led to experimental discoveries in a range of fields going beyond solid-state electronics to photonics and ...chang, a.m., transmission and reflection probabilities between v=1 and v=2/3 quantum hall-effects and between v=2/3 and v=1/3 effects, solid state communications 72: 651 (1989). Google Scholar CLARK, R.G., EXPERIMENTAL-DETERMINATION OF FRACTIONAL CHARGE E/Q FOR QUASIPARTICLE EXCITATIONS IN THE …

Oct 5, 2016 ... David Tong Resources on Fractional Quantum Hall Effect. Being an established physical theory is a far cry from being mathematically proven .... Map of comcast outages

david tong quantum hall effect

David Tong: Lectures on Cosmology. This is a course on cosmology, aimed at final year undergraduate students. It assumes a background in neither general relativity nor statistical mechanics. The full lecture notes come in around 170 pages. Please do email me if you find any typos or mistakes. PDF HTML Content . 1. The Expanding Universe: PDF“The Quantum Hall Effect: TIFR Infosys Lectures”, David Tong,. arXiv:1606.06687v2 and references there in. 2.The Quantum Hall Effect: Novel Excitations and Broken Symmetries. Steven M. Girvin (Indiana University) These pedagogical lecture notes present a general introduction to most aspects of the integer and fractional quantum Hall effects.Quantum cryptography uses physics instead of mathematics to encode messages, which provides greater security. Learn about quantum cryptography. Advertisement The idea that a vote c...David Tong Department of Applied Mathematics and Theoretical Physics, ... 1.2.3 The Witten Effect 16 1.2.4 Why θis Periodic 18 1.2.5 Parity, Time-Reversal and θ= π 21 ... 2.2.3 Analogies From Quantum Mechanics 47 2.3 Instantons …David Tong: Lectures on Topics in Quantum Mechanics. This is an advanced course on quantum mechanics. It covers a wide range of topics, including an introduction to atomic physics, quantum foundations and scattering theory. Please do email me if you find any typos or mistakes. PostScript PDF. Content.Questions tagged [quantum-hall-effect] Ask Question. Questions related to the quantum Hall effect (the quantisation of resistivity observed when a 2-dimensional electron gas system is subjected to a strong perpendicular magnetic field), as well as formulations of states, topological properties, and applications. Learn more….1.1 Introduction. Take a bunch of electrons, restrict them to move in a two-dimensional plane and turn on a strong magnetic field. This simple set-up provides the setting for some of …The TechCrunch Global Affairs Project examines the increasingly intertwined relationship between the tech sector and global politics. Quantum computers, sensors and communications ...Jan 1, 2019 ... [6]:David Tong, Lectures on the Quantum Hall Effect (). [7]:T. Ando; Y. Matsumoto; Y. Uemura, “Theory of Hall effect in a two-dimensional ...Dec 21, 2023 ... [2] David Tong. The quantum hall effect ... quantum number in the fractional quantum hall effect. ... fractional quantum hall state on a quantum ...The integer quantum Hall effect (QHE) in a 2D electron system (2DES) under a perpendicular magnetic field is the first example of a topological quantum state 1,2,3,4,5.In the QHE, the Hall ...This is analogous to quantum oscillations in metals, even though α-RuCl 3 is an excellent insulator with a large gap. As the temperature is raised above 0.5 K, the oscillation amplitude decreases ...Quantum Physics - Quantum physics requires physicists to use thought experiments. Learn why the study of quantum physics has raised more questions than it has answered. Advertiseme...This is the somewhat extended version of the presentation given at the spring meeting of the Deutsche Physikalische Gesellschaft, held at Regensburg, Germany on March 6-11, 2016. It is the extremely compacted part on the Fractional Quantum Hall Effect (FQHE) of the paper " The Physics of the Integer and Fractional Quantum Hall Effects ".

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