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Analytic mean-field charge-density-wave solution atν=1∕3: Composite-fermion-like subbands and correlation effects

2003/09/05 by Alejandro Cabo Montes de, Alejandro Cabo, F. Claro +1 · 1 citation
Materials Science · Physics and Astronomy · #Organic and Molecular Conductors Research #Quantum and electron transport phenomena #Solid-state spectroscopy and crystallography #cond-mat

paper · pdf · doi:10.1103/physrevb.70.235320

24 pages, 4 figures, content exposed in the: Symposium Quantum Hall Effect: "Past, Present and Future", Sttutgart, Germany, 2-5 July 2003 and in the Third Stig Lundquist Conference on Advancing Frontiers of Condensed Matter Physics 11-15 August 2003, ICTP, Trieste Italy

arxiv created 2003/09/05 · openalex publication_date 2004/12/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

An analytic solution of the Hartree-Fock problem for a 2DEG at filling 1∕3 and half an electron per unit cell is presented. The Coulomb interaction dynamically breaks the first Landau level in three narrow subbands, one of which is fully occupied and the others empty, as in the composite fermion model. Strong correlations are expected owing to large charge density overlap between neighboring plaquettes. Numerical evaluations show an enhancement of the cohesive correlation energy, bringing the energy per particle to the proximity of that obtained in competing variational models. Correlations are long range, requiring over 98 particles in numerical computations to approach convergence.

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