Incipient quantum melting of the one-dimensional Wigner lattice

2003/09/19 by S. Fratini, Fratini, S., B. Valenzuela +3 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el

paper · pdf · doi:10.48550/arxiv.cond-mat/0309450

arxiv created 2003/09/19 · arxiv updated 2009/12/01

Abstract

A one--dimensional tight--binding model of electrons with long--range Coulomb interactions is studied in the limit where double site occupancy is forbidden and the Coulomb coupling strength V is large with respect to the hopping amplitude t. The quantum problem of a kink--antikink pair generated in the Wigner lattice (the classical ground state for t=0) is solved for fillings n=1/s, where s is an integer larger than 1. The pair energy becomes negative for a relatively high value of V, V_c/t≈ s³. This signals the initial stage of the quantum melting of the Wigner lattice.

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