[hal-00000612] Incipient quantum melting of the one--dimensional Wigner lattice

A one--dimensional tight--binding model of electrons with long--range Coulomb interactions is studied in the limit where double site occupancy is forbiddenand the Coulomb coupling strength $V$ is largewith respect to the hopping amplitude$t$. The quantum problem of a kink--antikink pair generated in the Wigner lattice (the classicalground 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 quantummelting of the Wigner lattice.



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