Jump to ContentJump to Main Navigation
Quantum Hall systems
Users without a subscription are not able to see the full content.

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

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

Abstract

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 in two dimensions and the corresponding braid group formalism. The braid group formalism of anyons (previously known) is developed for composite fermions. The effective formalism used in many-body quantum Hall theories — the Chern–Simons theory is also presented. The Chern–Simons theory of anyons (particles obeying fractional statistics) and composite fermions (related to Hall systems) is given, i ... More

Keywords: quantum Hall systems, fractional quantum Hall states, braid group formalism, anyons, composite fermions, Haldane hierarchy, spin quantum Hall systems

Bibliographic Information

Print publication date: 2003 Print ISBN-13: 9780198528708
Published to Oxford Scholarship Online: January 2010 DOI:10.1093/acprof:oso/9780198528708.001.0001

Authors

Affiliations are at time of print publication.

Lucjan Jacak, author
Institute of Physics, Wroclaw University of Technology

Piotr Sitko, author
Institute of Physics, Wroclaw University of Technology

Konrad Wieczorek, author
Institute of Physics, Wroclaw University of Technology

More

Subscriber Login

Forgotten your password?