Field theory of anyons and the fractional quantum Hall effect

Z. F. Ezawa, Masahiro Hotta, A. Iwazaki

Research output: Contribution to journalArticlepeer-review

45 Citations (Scopus)

Abstract

We present a microscopic theory of the fractional quantum Hall effect and its hierarchy structure on the basis of a Chern-Simons gauge theory. It is shown field theoretically that the system of the planar electrons in a strong magnetic field yields a hierarchy of the fractional quantum Hall states, which are a condensed phase of the bosonized electrons and vortices. It is discussed in detail how the Coulomb interaction between electrons plays a crucial role in this phenomenon.

Original languageEnglish
Pages (from-to)7765-7781
Number of pages17
JournalPhysical Review B
Volume46
Issue number12
DOIs
Publication statusPublished - 1992 Jan 1

ASJC Scopus subject areas

  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Field theory of anyons and the fractional quantum Hall effect'. Together they form a unique fingerprint.

Cite this