Quantum Hall Fluids on the Haldane Sphere: A Diffusion Monte Carlo Study

Journal Article · Sun Nov 30 23:00:00 EST 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.79.5286· OSTI ID:554426

Melik-Alaverdian, V; Bonesteel, N E ^[1]; Ortiz, G ^[2]

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1. National High Magnetic Field Laboratory and Department of Physics, Florida State University, Tallahassee, Florida 32306-4005 (United States)
2. Theoretical Division, Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, New Mexico 87545 (United States)

A generalized diffusion Monte Carlo method for solving the many-body Schr{umlt o}dinger equation on curved manifolds is introduced and used to perform a {open_quotes}fixed-phase{close_quotes} simulation of the fractional quantum Hall effect on the Haldane sphere. This new method is used to study the effect of Landau level mixing on the {nu}=1/3 energy gap and the relative stability of spin-polarized and spin-reversed quasielectron excitations. {copyright} {ital 1997 } {ital The American Physical Society}

• DOE Contract Number: FG02-97ER45639
• OSTI ID: 554426
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 26 Vol. 79; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
EXCITED STATES
HALL EFFECT
MANY-BODY PROBLEM
MATHEMATICAL MANIFOLDS
MONTE CARLO METHOD
QUANTUM MECHANICS
SCHROEDINGER EQUATION
SIMULATION
SPHERES