New stochastic method for systems with broken time-reversal symmetry: 2D fermions in a magnetic field

G. Ortiz, D. M. Ceperley, R. M. Martin

Research output: Contribution to journalArticle

Abstract

We present a stochastic method able to deal with complex Hermitian Hamiltonians where time reversal invariance is broken explicitly. We fix the phase of the wave function and show that the equation for the modulus can be solved by quantum Monte Carlo techniques. Then, any choice for its phase provides a variational upper bound for the ground state energy of the system. We apply the fixed-phase method to the 2D electron gas in the presence of a magnetic field with generalized periodic boundary conditions, where we study the transition between an incompressible v = 1/m Laughlin liquid and a Wigner crystal.

Original languageEnglish (US)
Pages (from-to)2777-2780
Number of pages4
JournalPhysical review letters
Volume71
Issue number17
DOIs
StatePublished - Jan 1 1993

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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