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

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

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198528708
eISBN:
9780191713477
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528708.001.0001
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

The book presents the wide range of topics in two-dimensional physics of quantum Hall systems, especially fractional quantum Hall states. It starts with the fundamental problems of quantum statistics ... More


Identity

Nick Huggett

in Everywhere and Everywhen: Adventures in Physics and Philosophy

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195379518
eISBN:
9780199776559
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195379518.003.0017
Subject:
Philosophy, Philosophy of Science

Quantum mechanics, like relativity, is a pillar of contemporary physics, with remarkable, puzzling consequences. In these chapters some very simple ‘games’ – distributing prizes of different kinds – ... More


Quarticles

Nick Huggett

in Everywhere and Everywhen: Adventures in Physics and Philosophy

Published in print:
2010
Published Online:
May 2010
ISBN:
9780195379518
eISBN:
9780199776559
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195379518.003.0018
Subject:
Philosophy, Philosophy of Science

Quantum mechanics, like relativity, is a pillar of contemporary physics, with remarkable, puzzling consequences. In these chapters some very simple ‘games’ – distributing prizes of different kinds – ... More


Energy transfer to a system of independent fermions

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0017
Subject:
Physics, Nuclear and Plasma Physics

This chapter examines the rate of energy transfer to a system of independent fermions inside a cavity. It is formulated first for the classical wall picture and then for quantum systems by applying ... More


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

Alexei L. Ivanov and Sergei G. Tikhodeev (eds)

Published in print:
2007
Published Online:
May 2008
ISBN:
9780199238873
eISBN:
9780191716652
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199238873.001.0001
Subject:
Physics, Condensed Matter Physics / Materials

The book, which is dedicated to Prof. Leonid V. Keldysh on his 75th anniversary, is a collection of review papers written by experts in condensed matter physics such as V. M. Agranovich, B. L. ... More


Relativistic Fermions

JEAN ZINN-JUSTIN

in Quantum Field Theory and Critical Phenomena

Published in print:
2002
Published Online:
January 2010
ISBN:
9780198509233
eISBN:
9780191708732
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509233.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses boson field theories, occasionally considering theories with fermions, in particular, when the fermion nature of fields plays an essential role. It analyzes the free action for ... More


Symmetries: From classical to quantum field theories

Jean Zinn-Justin

in From Random Walks to Random Matrices

Published in print:
2019
Published Online:
August 2019
ISBN:
9780198787754
eISBN:
9780191829840
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198787754.003.0016
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 16 deals with the important problem of quantization with symmetries, that is, how to implement symmetries of the classical action in the corresponding quantum theory. The proposed solutions ... More


Fermion Zero Modes on Vortices

VOLOVIK GRIGORY E.

in The Universe in a Helium Droplet

Published in print:
2009
Published Online:
January 2010
ISBN:
9780199564842
eISBN:
9780191709906
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199564842.003.0023
Subject:
Physics, Condensed Matter Physics / Materials, Particle Physics / Astrophysics / Cosmology

This chapter considers fermion zero modes on vortex lines and cosmic strings. The quantum numbers, which characterize the energy spectrum of these fermionic excitations, are the linear (pz) and ... More


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

Christophe Salomon, Georgy V. Shlyapnikov, and Leticia F. Cugliandolo (eds)

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199661886
eISBN:
9780191748356
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199661886.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

This book gathers the lecture notes of courses given at the 2010 summer school in theoretical physics in Les Houches, France, Session XCIV. This book illustrates how the field of quantum gases has ... More


Two-Dimensional Models and Bosonization Method

JEAN ZINN-JUSTIN

in Quantum Field Theory and Critical Phenomena

Published in print:
2002
Published Online:
January 2010
ISBN:
9780198509233
eISBN:
9780191708732
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198509233.003.0032
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 31 discussed the generic O(N) non-linear σ-model. We have noticed that the abelian case N = 2 is special because the RG β-function vanishes in two dimensions. The corresponding O(2) invariant ... 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


PECULIARITIES OF D = 1

Thierry Giamarchi

in Quantum Physics in One Dimension

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198525004
eISBN:
9780191711909
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525004.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This chapter provides an overview of the basic ideas of interacting electrons and the peculiarities of one dimension. Interactions among particles are what endows the one-dimensional world with its ... More


INTERACTING FERMIONS ON A LATTICE

Thierry Giamarchi

in Quantum Physics in One Dimension

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198525004
eISBN:
9780191711909
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525004.003.0007
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines the canonical microscopic models used to study interacting fermions. Most of these models are quite general and are not special to one dimension. These models try to implement ... More


COUPLED FERMIONIC CHAINS

Thierry Giamarchi

in Quantum Physics in One Dimension

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198525004
eISBN:
9780191711909
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525004.003.0008
Subject:
Physics, Condensed Matter Physics / Materials

This chapter examines how one-dimensional physics is changed when one goes from a purely one-dimensional system to a two- or three-dimensional situation. Such an effect can be realized by ... More


DISORDERED SYSTEMS

Thierry Giamarchi

in Quantum Physics in One Dimension

Published in print:
2003
Published Online:
September 2007
ISBN:
9780198525004
eISBN:
9780191711909
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198525004.003.0009
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the effects of disorder in fermionic systems, including Anderson localization. There are important differences for the disorder effects between the one-dimensional world, where ... More


FLUCTUATIONS NEAR SUPERCONDUCTOR-INSULATOR TRANSITION

Anatoly Larkin and Andrei Varlamov

in Theory of Fluctuations in Superconductors

Published in print:
2005
Published Online:
September 2007
ISBN:
9780198528159
eISBN:
9780191713521
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528159.003.0016
Subject:
Physics, Condensed Matter Physics / Materials

This chapter discusses the quantum phase transition using the example of superconductor-insulator transition. For the 3D case, a version of the Ginzburg-Landau formalism is formulated from both ... More


What are things made of?

A. J. Leggett

in The Problems of Physics

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211241
eISBN:
9780191706837
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211241.003.0002
Subject:
Physics, Particle Physics / Astrophysics / Cosmology

This chapter examines the questions why one learns more about the structure of matter at the subatomic level by accelerating particles to high energies, and what it means to say that a new particle ... More


Symmetry Perforce

Michael Munowitz

in Knowing: The Nature of Physical Law

Published in print:
2006
Published Online:
September 2007
ISBN:
9780195167375
eISBN:
9780199787104
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195167375.003.0009
Subject:
Physics, History of Physics

In symmetry there is force. First, the indistinguishability of quantum mechanical particles divides the world into bosons and fermions, force and matter. Interchange symmetry imposes an exclusionary ... More


Quantum liquids

A.J. Leggett

in Quantum Liquids: Bose condensation and Cooper pairing in condensed-matter systems

Published in print:
2006
Published Online:
January 2008
ISBN:
9780198526438
eISBN:
9780191711954
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526438.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This chapter starts with a discussion of the symmetry conditions which have to be imposed on the wave function of a many-particle system, and the distinction between bosons and fermions. It then ... More


Chiral symmetry and lattice fermions

David B. Kaplan

in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing: Lecture Notes of the Les Houches Summer School: Volume 93, August 2009

Published in print:
2011
Published Online:
January 2012
ISBN:
9780199691609
eISBN:
9780191731792
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199691609.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses chiral symmetry in quantum field theories with fermions, and how to represent the fermions in lattice regularizations so as to preserve the symmetry to the fullest extent ... More


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