Many-particle translational symmetries of two-dimensional electrons at rational Landau-level filling

Research output: Contribution to journalArticlepeer-review

265 Scopus citations

Abstract

In contrast to previous treatments, a new analysis of two-dimensional many-electron systems subject to periodic boundary conditions in a magnetic field leads to a fully two-dimensional structure of the quantum numbers at rational Landau-level filling. The structure of the new symmetry analysis has an intrinsically many-particle character. Full agreement between numerical studies of quantized-Hall-effect systems in periodic and spherical geometries is achieved, and the problem of ground-state degeneracy is clarified.

Original languageEnglish (US)
Pages (from-to)2095-2098
Number of pages4
JournalPhysical review letters
Volume55
Issue number20
DOIs
StatePublished - Jan 1 1985
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Many-particle translational symmetries of two-dimensional electrons at rational Landau-level filling'. Together they form a unique fingerprint.

Cite this