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Electrons in a lattice with an incommensurate potential
Author(s) -
G. Benfatto,
Guido Gentile,
Vieri Mastropietro
Publication year - 1997
Publication title -
journal of statistical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.71
H-Index - 115
eISSN - 1572-9613
pISSN - 0022-4715
DOI - 10.1007/bf02765540
Subject(s) - fermion , physics , lattice (music) , particle in a one dimensional lattice , electron , condensed matter physics , fermi gamma ray space telescope , diophantine equation , quantum mechanics , period (music) , empty lattice approximation , mathematical physics , lattice field theory , mathematics , combinatorics , gauge theory , acoustics
. A system of fermions on a one-dimensional lattice, subjectto a periodic potential whose period is incommensurate with the latticespacing and verifies a diophantine condition, is studied. The Schwingerfunctions are obtained, and their asymptotic decay for large distances isexhibited for values of the Fermi momentum which are multiple of thepotential period.1. Introduction.1.1. The Static Holstein model [P, H] describes a system of fermions (electrons) in a linearlattice interacting...

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