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Cited by 347

The DOI matches its Crossref record; 16 of the 16 references it cites were found in a registry or an index.

Liquid-solid transition and the fractional quantum-Hall effect

Lam, Pui K., Girvin, S. M.·1984·Physical Review B
DOI 10.1103/physrevb.30.473
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Abstract

The critical Landau-level filling factor ${\ensuremath{\nu}}_{c}$ for the transition from Laughlin's liquid state to a Wigner crystal is determined by comparing the energies of these states. The Wigner-crystal energy is substantially improved over the Hartree-Fock result by using a variational wave function which includes particle correlations. The liquid-state energy is obtained from the Monte Carlo calculation of Levesque, Weis, and Mac-Donald. We find ${\ensuremath{\nu}}_{c}$ to be slightly larger than ? which is consistent with the experimental observation by Mendez and co-workers that the fractional quantum-Hall effect does not occur for $\ensuremath{\nu}<~\frac{1}{7}$. The improvement in the crystal energy by correlation is essential to this agreement since without correlations, ${\ensuremath{\nu}}_{c}\ensuremath{\sim}\frac{1}{10}$. In addition the crystal correlation energy explains the very low temperatures required to see the $\ensuremath{\nu}=\frac{1}{5}$ liquid state.

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Metadata

Authors
Lam, P. K., & Girvin, S. M.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1984-07-01
Volume
30
Issue
1
Pages
473-475
ISSN
0163-1829 (ISSN-L)
DOI
10.1103/physrevb.30.473
OpenAlex
W1989608557
Cited by
347
References
16
FWCI
6.06
Type
journal article
Language
en
Open access
closed

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