Nonlinear screening and percolative transition in a two-dimensional electron liquid

2003/10/31 by M. M. Fogler, Michael M. Fogler · 3 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum many-body systems #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.69.121409

published as Phys. Rev. B 69, 121409(R) (2004) · 4 pages, 2 figures. (v2) minor changes (v3) reference added (v4) few more references added

arxiv created 2004/02/21 · openalex publication_date 2004/03/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A variational method is proposed for calculating the percolation threshold, the real-space structure, and the ground-state energy of a disordered two-dimensional electron liquid. Its high accuracy is verified against exact asymptotics and prior numerical results. The inverse thermodynamical density of states is shown to have a strongly asymmetric minimum at a density that is approximately the triple of the percolation threshold. This implies that the experimentally observed metal-insulator transition takes place well before the percolation point is reached.

Citations

• Metallic behavior and related phenomena in two dimensions

Cited by

• Linear temperature dependence of the conductivity in Si two-dimensional electrons near the apparent metal-to-insulator transition
• Metal–insulator transitions and the effects of electron–electron interactions in two-dimensional electron systems
• Quantum capacitance of an HgTe quantum well as an indicator of the topological phase

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