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≈ s 3. This signals the initial stage of the quantum melting of the Wigner lattice.
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