Quenched Disorder From Sea-Bosons

Girish S. Setlur

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Quenched Disorder From Sea-Bosons

Girish S. Setlur

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Abstract

The degenerate Fermi gas coupled to a random potential is used to study metal-insulator transitions in various dimensions. We first recast the problem in the sea-boson language that allows for an easy evaluation of important physical attributes. We evaluate the dynamical number-number correlation function and from this compute the a.c. conductivity. We find that the d.c. conductivity vanishes in one and two dimensions. For a hamiltonian that forbids scattering of an electron from within the Fermi surface to another state within the Fermi surface we find that there is no metal-insulator transition in three dimensions either.

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Girish S. Setlur. 2003-06-02. Quenched Disorder From Sea-Bosons. https://arxiv.org/abs/cond-mat/0306037

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