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

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For an interacting system of N electrons, we study the conditions under which a lattice model of size L with nearest neighbor hopping t and U/r Coulomb repulsion has the same ground state as a continuum model. For a fixed value of N, one gets identical results when the inter-electron spacing to the Bohr radius ratio r_s < r_s^*. Above r_s^*, the persistent current created by an enclosed flux begins to decay and r_s ceases to be the scaling parameter. Three criteria giving similar r_s^* are proposed and checked using square lattices.
7 pages, 5 postscript figures

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Mesoscale and Nanoscale Physics, Strongly Correlated Electrons

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http://salesiana.dossiersoluciones.com/handle/123456789/21499

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0305619
 http://arxiv.org/abs/cond-mat/0305619

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arXiv