New stochastic method for systems with broken time-reversal symmetry: 2D fermions in a magnetic field
- 25 October 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 71 (17), 2777-2780
- https://doi.org/10.1103/physrevlett.71.2777
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 ν=1/m Laughlin liquid and a Wigner crystal.Keywords
This publication has 14 references indexed in Scilit:
- Fractional quantum Hall liquid, Wigner solid phase boundary at finite density and magnetic fieldPhysical Review Letters, 1993
- Observation of a reentrant insulating phase near the 1/3 fractional quantum Hall liquid in a two-dimensional hole systemPhysical Review Letters, 1992
- Magnetotransport studies of the insulating phase around ν=1/5 Landau-level fillingPhysical Review B, 1991
- TOPOLOGICAL ORDERS IN RIGID STATESInternational Journal of Modern Physics B, 1990
- Green’s function Monte Carlo study of light nucleiPhysical Review C, 1987
- Many-Particle Translational Symmetries of Two-Dimensional Electrons at Rational Landau-Level FillingPhysical Review Letters, 1985
- Periodic Laughlin-Jastrow wave functions for the fractional quantized Hall effectPhysical Review B, 1985
- Anomalous Quantum Hall Effect: An Incompressible Quantum Fluid with Fractionally Charged ExcitationsPhysical Review Letters, 1983
- Fixed-node quantum Monte Carlo for moleculesa) b)The Journal of Chemical Physics, 1982
- On the Interaction of Electrons in MetalsPhysical Review B, 1934