Last edited by Kazrarr
Wednesday, October 21, 2020 | History

1 edition of The Fractional Quantum Hall Effect found in the catalog.

The Fractional Quantum Hall Effect

Properties of an Incompressible Quantum Fluid

by Tapash Chakraborty

  • 180 Want to read
  • 18 Currently reading

Published by Springer Berlin Heidelberg in Berlin, Heidelberg .
Written in English

    Subjects:
  • Thermodynamics,
  • Surfaces (Physics),
  • Physics

  • About the Edition

    There have been tremendous theoretical and experimental developments in recent years in the field of the fractional quantum Hall effect. The Fractional Quantum Hall Effect presents a general survey of most of the theoretical work and briefly reviews the experimental results on the excitation gap. Researchers, experimentalists and research students with a background in quantum mechanics and statistical physics should find this book useful.

    Edition Notes

    Statementby Tapash Chakraborty, Pekka Pietiläinen
    SeriesSpringer Series in Solid-State Sciences -- 85, Springer Series in Solid-State Sciences -- 85.
    ContributionsPietiläinen, Pekka
    Classifications
    LC ClassificationsQC310.15-319
    The Physical Object
    Format[electronic resource] :
    Pagination1 online resource (xii, 175 pages 85 illustrations).
    Number of Pages175
    ID Numbers
    Open LibraryOL27039737M
    ISBN 103642971032, 3642971016
    ISBN 109783642971037, 9783642971013
    OCLC/WorldCa851374376

    Later also plateaus at intermediate values of Hall voltages were measured [2]; the phenomenon is known as the fractional quantum Hall effect (FQHE). The quasi-particles relevant to the physics of the FQHE were predicted theoretically and confirmed experimentally to carry fractional charge and obey unusual – anyonic – statistics [3, 4, 5]. Title: Many-Body Theory. (Book Reviews: The Fractional Quantum Hall Effect) Book Authors: Chakraborty, T.; Pietilainen, P. Review Author: Joynt, Robert: Publication.

      The quantum Hall effect (QHE) is one of the most fascinating and beautiful phenomena in all branches of physics. An instructive and comprehensive overview of the QHE, this book is also suitable as an introduction to quantum field theory with vivid applications. Only a knowledge of quantum mechanics is assumed. Hierarchy of Fractional QH. m entum. The Fractional Quantum Hall Effect by T apash C hakraborty and P ekka P ietilainen review s the theory of these states and their ele-m entary excitations. M uch is understood about the frac-tiona l quantum H all effect. T he in-com pressible states m entioned above have unique propertie s unlike any previously know n.

    The fractional quantum Hall effect has been explained assuming quasi-particles with fractional charges or Jains composite fermions, the existence of which has not been verified experimentally. The author has been developing a theory based on a standard treatment of an interacting electron system without assuming any quasi-particle.   Recent research has uncovered a fascinating quantum liquid made up solely of electrons confined to a plane surface. Found only at temperatures near absolute zero and in extremely strong magnetic fields, this liquid can flow without friction. The excited states of this liquid consist of peculiar particle-like objects that carry an exact fraction of an electron by:


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The Fractional Quantum Hall Effect by Tapash Chakraborty Download PDF EPUB FB2

Quantum Hall effects comprise the integer quantum Hall effect (IQHE) and the fractional quantum Hall effect (FQHE). Both have been Nobel-winning discoveries. In this book, only the underlying physics of the quantum Hall effects are discussed and they are.

Introduction to the Fractional Quantum Hall E ect Steven M. Girvin Yale University Sloane Physics Laboratory New Haven, CT USA 1 Introduction The quantum Hall e ect (QHE) is one of the most remarkable condensed-matter phenomena dis-covered in the second half of the 20th century.

It rivals superconductivity in its fundamental. Theory of the Integer and Fractional Quantum Hall Effects Shosuke SASAKI.

Center for Advanced High Magnetic Field Science, Graduate School of Science, Osaka University, Machikaneyama, Toyonaka, OsakaJapan. Preface. The Hall resistance in the classical Hall effect changes continuously with applied magnetic field.

The Fractional Quantum Hall Effect presents a general survery of most of the theoretical work on the subject and briefly reviews the experimental results on the excitation gap.

Several new topics like anyons, radiative recombinations in the fractional regime, experimental work on the spin-reversed quasi-particles, etc. are added to render the monographic treatment up-to-date. D.K. Maude, J.C. Portal, in Semiconductors and Semimetals, 1 INTRODUCTION.

The fractional quantum Hall effect results in deep minima in the diagonal resistance, accompanied by exact quantization of the Hall plateaux at fractional filling factors (Tsui et al., ).Similar to the IQHE, this is the result of gaps in the density of states, unlike the IQHE, however, it is not.

Chapter 3 is devoted to the transport characteristics of the integer quantum Hall effect, and the basic aspects of the fractional quantum Hall effect are described in chapter 4. In chapter 5, we briefly discuss several multicomponent quantum Hall systems, namely the quantum Hall ferromagnetism, bilayer systems and graphene that may be viewed as Cited by: Quantum Hall E ects 10 Integer Quantum Hall E ect 11 Fractional Quantum Hall E ect 13 Landau Levels 14 Landau Gauge 18 Turning on an Electric Field 21 Symmetric Gauge 22 Berry Phase 27 Abelian Berry Phase and Berry Connection 28 An Example: A Spin in a Magnetic Field 32File Size: 1MB.

The Fractional Quantum Hall Effect: Properties of an Incompressible Quantum Fluid Article (PDF Available) in Physics Today 43(3) January with Reads How we measure 'reads'. The quantum Hall effects remains one of the most important subjects to have emerged in condensed matter physics over the past 20 years.

The fractional quantum Hall effect, in particular, has opened up a new paradigm in the study of strongly correlated electrons, and it has been shown that new concepts, such as fractional statistics, anyon, chiral Luttinger liquid and.

This book is a compilation of major reprint articles on one of the most intriguing phenomena in modern physics: the quantum Hall effect. Together with a detailed introduction by the editor, this volume serves as a stimulating and valuable reference for students and research workers in condensed matter physics and for those with a particle physics background.5/5(1).

The fractional quantum Hall effect has been explained assuming quasi-particles with fractional charges or Jain’s composite fermions, the existence of which has not been verified experimentally. The author has been developing a theory based on a standard treatment of an interacting electron system without assuming any quasi-particle.

4) Fractional quantum Hall effect. 5) Conformal field theory constructions. 6) Statistics calculation. 7) Topological Quantum Computation. 8) Conclusion. For a short introduction, see also N.

Read, Physics Today, Julyp. The discovery of the quantized and fractional Quantum Hall Effect phenomena is among the most important physics findings in the latter half of this century.

The precise quantization of the electrical resistance involved in the quantized Hall effect phenomena has led to the new definition of the resistance standard and has metrologically.

David Tong writes excellent clear pedagogical papers: [] Lectures on the Quantum Hall Effect Here’s a book The Quantum Hall Effects I once read a book called “The Quantum Hall Effect” which I think was different but could not now find a. hibit the fascinating phenomenon of fractional quantum Hall efiect.

Composite fermion theory was developed in the process of understanding the fractional quantum Hall efiect and was proven to work successfully for the FQHE and even beyond. In this dissertation, we explore the efiect of the strong correlation between electrons in several cases.

Klaus von Klitzing discovered the integer quantum Hall effect in and won the physics Nobel prize for it in [63]. InRobert Laughlin, Horst Störmer, and Daniel Tsui won the physics Nobel prize for the discovery of the fractional quantum Hall effect [64].

The integer quantum Hall effect is observed in two dimensional electron. Genre/Form: Quantum-Hall-Effekt: Additional Physical Format: Online version: Chakraborty, T. (Tapash), Fractional quantum Hall effect. Berlin ; New York. Geometry of the Fractional Quantum Hall effect F. Duncan.

Haldane, Princeton University • A new viewpoint on the Laughlin State leads to a quantitative description of incompressibility in the FQHE • A marriage of Chern-Simons topological field theory with “quantum geometry” arXiv:Phys.

Rev Lett. File Size: 5MB. Discovery of the quantum Hall effect --Two-dimensional electrons in a magnetic field --The integer quantum Hall effect --The fractional quantum Hall effect --Composite-particle mean-field theory --Spin and pseudospin freedom --Even-denominator states --Electron states at the sample edge --Higher landau levels.

The fractional quantum Hall effect is also understood as an integer quantum Hall effect, although not of electrons but of charge-flux composites known as composite fermions.

Init was proposed that there was quantum Hall effect without Landau levels. This quantum Hall effect is referred to as the quantum anomalous Hall (QAH) effect. Composite Fermions in the Fractional Quantum Hall Effect. H. L. Stormer. Bell Laboratories, Lucent Technologies, Murray Hill, New Jersey.

Search for more papers by this author. D. C. Tsui. Book Editor(s): Sankar Das Sarma. Search for more papers by this author. Aron by: 7.Many new research fields are based on quantum Hall physics, and some of them are covered by separate overviews in this journal, such as composite fermion theory of exotic fractional QHE, exciton condensation in bilayer quantum hall systems, the quantum spin hall effect, and quantum anomalous hall effect: theory and experiment.Here we report the observation of the fractional quantum Hall effect in MgZnO/ZnO heterostructures grown by molecular-beam epitaxy, in which the electron mobility exceedscm(2) V(-1) s(-1).

Fractional states such as ν = 4/3, 5/3 and 8/3 clearly emerge, and the appearance of the ν = 2/5 state is by: