Variational Monte Carlo calculation of the spin gap in the {nu}=1 quantum Hall liquid

Journal Article · Fri Aug 01 04:00:00 EDT 1997 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.56.4760· OSTI ID:538547

Kralik, B; Rappe, A M; Louie, S G ^[1]

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1. Department of Physics, University of California at Berkeley and Materials Science Division, Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, California 94720 (United States)

A variational method of calculating the spin 1 excitation energies of the {nu}=1 quantum Hall liquid is presented in detail. We are able to include Landau-level mixing and finite-thickness effects. The many-body wave functions of the states near {nu}=1 filling are taken to be a product of a lowest-Landau-level Laughlin-type wave function and a Jastrow factor. A significant reduction in the calculated spin gap is found due both to Landau-level mixing ({approximately}40{percent} at r{sub s}=1) and to the effect of the finite thickness of the liquid (a further {approximately}30{percent} at r{sub s}=1). We find our calculations to be consistent with recent photoluminescence experiments in {delta}-doped samples. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 538547
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 8 Vol. 56; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ENERGY GAP
HALL EFFECT
MONTE CARLO METHOD
QUANTUM MECHANICS
SIMULATION
SPIN WAVES
VARIATIONAL METHODS
WAVE FUNCTIONS