Effect of a lattice upon an interacting system of electrons: Breakdown\n of scaling and decay of persistent currents

2003/05/27 by Houman Falakshahi, Falakshahi, Houman, Zoltán Németh +5
Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0305619

7 pages, 5 postscript figures

arxiv created 2003/05/27 · openalex publication_date 2003/05/27 · arxiv updated 2009/11/30 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

For an interacting system of N electrons, we study the conditions under which\na lattice model of size L with nearest neighbor hopping t and U/r Coulomb\nrepulsion has the same ground state as a continuum model. For a fixed value of\nN, one gets identical results when the inter-electron spacing to the Bohr\nradius ratio r_s < r_s^*. Above r_s^*, the persistent current created by an\nenclosed flux begins to decay and r_s ceases to be the scaling parameter. Three\ncriteria giving similar r_s^* are proposed and checked using square lattices.\n

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