Order Parameter and Ginzburg-Landau Theory for the Fractional Quantum Hall Effect

N. Read

doi:10.1103/PhysRevLett.62.86

Order Parameter and Ginzburg-Landau Theory for the Fractional Quantum Hall Effect

N. Read

Phys. Rev. Lett. 62, 86 – Published 2 January 1989

Abstract

A new order parameter with a novel broken symmetry is proposed for the fractional quantum Hall effect, with the Laughlin state as the mean-field ground state. The classical Ginzburg-Landau theory of Girvin is derived microscopically from this starting point and exhibits all the phenomenology of the fractional quantum Hall effect.

Received 15 August 1988

DOI:https://doi.org/10.1103/PhysRevLett.62.86

Authors & Affiliations

N. Read^*

Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, and Section of Applied Physics, Yale University, New Haven, Connecticut 06520