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Magnetotransport in two-dimensional systems

Thomas Ihn

in Semiconductor Nanostructures: Quantum states and electronic transport

Published in print:
2009
Published Online:
February 2010
ISBN:
9780199534425
eISBN:
9780191715297
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199534425.003.0016
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses a number of quantum phenomena brought about by electronic transport at high magnetic fields. As a first step, the Shubnikov–de Haas effect is introduced. In order to understand ... More


Quantum Hall effects

Mark O. Goerbig

in Ultracold Gases and Quantum Information: Lecture Notes of the Les Houches Summer School in Singapore: Volume 91, July 2009

Published in print:
2011
Published Online:
September 2011
ISBN:
9780199603657
eISBN:
9780191729515
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199603657.003.0006
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter yields an introduction to quantum Hall effects both for non-relativistic electrons in conventional two-dimensional electron gases (such as in semiconductor heterostructures) and ... More


COMPOSITE FERMIONS AND THE FRACTIONAL QUANTUM HALL EFFECT IN A TWO-DIMENSIONAL ELECTRON SYSTEM

I. V. Kukushkin, J. H. Smet, and K. von Klitzing

in Problems of Condensed Matter Physics: Quantum coherence phenomena in electron-hole and coupled matter-light systems

Published in print:
2007
Published Online:
May 2008
ISBN:
9780199238873
eISBN:
9780191716652
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199238873.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

This chapter analyzes the fractional quantum Hall effect and composite fermions in a two-dimensional electron system. The underlying picture of a composite fermion, a quasi-particle consisting of one ... More


Low dimensional structures

John Orton

in The Story of Semiconductors

Published in print:
2008
Published Online:
January 2010
ISBN:
9780199559107
eISBN:
9780191712975
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199559107.003.0006
Subject:
Physics, Crystallography: Physics

During the 1970s, III-V compounds and epitaxial crystal growth provided the basis for low dimensional structures (or nanostructures). The best known example is a GaAs quantum well within AlGaAs ... More


Entanglement spectroscopy and its application to the quantum Hall effects

Nicolas Regnault

in Topological Aspects of Condensed Matter Physics: Lecture Notes of the Les Houches Summer School: Volume 103, August 2014

Published in print:
2017
Published Online:
March 2017
ISBN:
9780198785781
eISBN:
9780191827600
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198785781.003.0004
Subject:
Physics, Condensed Matter Physics / Materials

Entanglement spectroscopy has stimulated an extensive range of studies. The entanglement spectrum is the spectrum of the reduced density matrix when the system is partitioned into two. For many ... More


Introduction

Lucjan Jacak, Piotr Sitko, Konrad Wieczorek, and Arkadiusz Wojs

in Quantum Hall systems: Braid groups, composite fermions and fractional charge

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528708
eISBN:
9780191713477
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528708.003.0001
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

This introductory chapter starts with short review of experimental and theoretical description of integral and fractional quantum Hall effects. The standard quantization of states of charged ... More


The fractional quantum Hall fluid

Tom Lancaster and Stephen J. Blundell

in Quantum Field Theory for the Gifted Amateur

Published in print:
2014
Published Online:
June 2014
ISBN:
9780199699322
eISBN:
9780191779435
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199699322.003.0046
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

The fractional quantum Hall effect is introduced in this chapter and it explains how quasiparticles carrying fractional charge emerge in this theory.


Quantum Hall states of ultracold atomic gases

Nigel R. Cooper

in Many-Body Physics with Ultracold Gases: Lecture Notes of the Les Houches Summer School: Volume 94, July 2010

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199661886
eISBN:
9780191748356
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199661886.003.0005
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter reviews the theoretical understanding of Bose and Fermi superfluids under rotation (or in an effective magnetic field) while placing this in context of the current experimental status. ... More


The Quantum Hall Effects

J. B. Ketterson

in The Physics of Solids

Published in print:
2016
Published Online:
December 2016
ISBN:
9780198742906
eISBN:
9780191821523
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198742906.003.0048
Subject:
Physics, Condensed Matter Physics / Materials

This chapter first analyses the integer quantum Hall effect, covering an electron in two dimensions in a magnetic field; a two-dimensional electron gas in a magnetic field; motion under orthogonal ... More


The Fractional Quantum Hall Effect In Composite Fermion Systems

Lucjan Jacak, Piotr Sitko, Konrad Wieczorek, and Arkadiusz Wojs

in Quantum Hall systems: Braid groups, composite fermions and fractional charge

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528708
eISBN:
9780191713477
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528708.003.0007
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

This chapter analyzes the fractional quantum Hall effect in composite fermion systems. The basic idea of composite fermions conceived by Jain and its relation with the Laughlin wave function are ... More


Anomalous properties of graphene

E. L. Wolf

in Graphene: A New Paradigm in Condensed Matter and Device Physics

Published in print:
2013
Published Online:
January 2014
ISBN:
9780199645862
eISBN:
9780191767852
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199645862.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

The disintegration of graphene near 5,000 K is modeled by Ito and Nakamura to produce linear chain fragments. It appears from modelling that the disintegrations initiate in “locally crumpled” ... More


Experimental probes of graphene

E. L. Wolf

in Graphene: A New Paradigm in Condensed Matter and Device Physics

Published in print:
2013
Published Online:
January 2014
ISBN:
9780199645862
eISBN:
9780191767852
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199645862.003.0006
Subject:
Physics, Condensed Matter Physics / Materials

After brief review of important electrical transport measurements, optical and Raman methods, techniques of angle-resolved photoemission spectroscopy (ARPES) and scanning tunnelling microscopy, ... More


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