VARIATIONAL MONTE-CARLO CALCULATION OF THE SPIN GAP IN THE NU=1 QUANTUM HALL LIQUID

Citation
B. Kralik et al., VARIATIONAL MONTE-CARLO CALCULATION OF THE SPIN GAP IN THE NU=1 QUANTUM HALL LIQUID, Physical review. B, Condensed matter, 56(8), 1997, pp. 4760-4771
Citations number
26
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
56
Issue
8
Year of publication
1997
Pages
4760 - 4771
Database
ISI
SICI code
0163-1829(1997)56:8<4760:VMCOTS>2.0.ZU;2-7
Abstract
A variational method of calculating the spin 1 excitation energies of the v=1 quantum Wall liquid is presented in detail. We are able to inc lude Landau-level mixing and finite-thickness effects. The many-body w ave functions of the states near v=1 filling are taken to be a product of a lowest-Landau-level Laughlin-type wave function and a Jastrow fa ctor. A significant reduction in the calculated spin gap is found due both to Landau-level mixing (similar to 40% at r(s)=1) and to the effe ct of the finite thickness of the liquid (a further similar to 30% at r(s)=1). We find our calculations to be consistent with recent photolu minescence experiments in delta-doped samples.