A field theory for the read operator

R. Rajaraman, Shivaji Lal Sondhi

Research output: Contribution to journalArticle

37 Scopus citations

Abstract

We introduce a new field theory for studying quantum Hall systems. The quantum field is a modified version of the bosonic operator introduced by Read. In contrast to Read's original work we do not work in the lowest Landau level alone, and this leads to a much simpler formalism. We identify an appropriate canonical conjugate field, and write a Hamiltonian that governs the exact dynamics of our bosonic field operators. We describe a Lagrangian formalism, derive the equations of motion for the fields and present a family of mean-field solutions. Finally, we show that these mean field solutions are precisely the Laughlin states. We do not. in this work, address the treatment of fluctuations.

Original languageEnglish (US)
Pages (from-to)793-803
Number of pages11
JournalInternational Journal of Modern Physics B
Volume10
Issue number7
DOIs
StatePublished - Mar 30 1996

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Condensed Matter Physics

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