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Incipient quantum melting of the one-dimensional Wigner lattice

S. Fratini·B. Valenzuela·D. Baeriswyl
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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 $V$, $V_c/t\approx s^3$. This signals the initial stage of the quantum melting of the Wigner lattice.

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S. Fratini, B. Valenzuela, D. Baeriswyl. 2003-09-19. Incipient quantum melting of the one-dimensional Wigner lattice. https://arxiv.org/abs/cond-mat/0309450

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