View:

- no detail
- some detail
- full detail

## Theory of Quantum Hall States

*Xiao-Gang Wen*

### in Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons

- Published in print:
- 2007
- Published Online:
- February 2010
- ISBN:
- 9780199227259
- eISBN:
- 9780191713019
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199227259.003.07
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Electrons on the interface of two semiconductors can form a new state of matter — fractional quantum Hall (FQH) state — under strong magnetic fields. FQH states cannot be described by Landau symmetry ... More

## Quantization of Many-Particle Systems and Quantum Statistics in Lower Dimensions

*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/9780198528708.003.0003
- Subject:
- Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

This chapter describes how, in two-dimensional systems, the scalar fractional statistics may occur besides Bose–Einstein and Fermi–Dirac statistics. One-dimensional irreducible unitary ... 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

## Topological and Quantum order—beyond Landau’s Theories

*Xiao-Gang Wen*

### in Quantum Field Theory of Many-Body Systems: From the Origin of Sound to an Origin of Light and Electrons

- Published in print:
- 2007
- Published Online:
- February 2010
- ISBN:
- 9780199227259
- eISBN:
- 9780191713019
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199227259.003.08
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

According to the principle of emergence, the properties of material are mainly determined by how the atoms are organized in the material. Such organization is formally called order. The vast range of ... More

## Topological field theory

*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/9780199699322.003.0031
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

Topological field theories are discussed and this chapter provides some concrete examples of applications of these ideas by discussing anyons, fractional statistics and Chern–Simons theories.

View:

- no detail
- some detail
- full detail