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

dc.creatorFogler, Michael M.
dc.date2003-10-01
dc.date2004-02-21
dc.date.accessioned2026-07-25T15:22:09Z
dc.descriptionA novel variational method is proposed for calculating the percolation threshold, the real-space structure, and the thermodynamical compressibility of a disordered two-dimensional electron liquid. Its high accuracy is verified against prior numerical results and newly derived exact asymptotics. The inverse compressibility 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.
dc.description4 pages, 2 figures. (v2) minor changes (v3) reference added (v4) few more references added
dc.identifierhttps://arxiv.org/abs/cond-mat/0310010
dc.identifierhttp://arxiv.org/abs/cond-mat/0310010
dc.identifierPhys. Rev. B 69, 121409(R) (2004)
dc.identifierdoi:10.1103/PhysRevB.69.121409
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/33281
dc.subjectMesoscale and Nanoscale Physics
dc.titleNonlinear screening and percolative transition in a two-dimensional electron liquid
dc.typetext

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