Faculté des sciences

Incipient quantum melting of the one-dimensional Wigner lattice

Fratini, S. ; Valenzuela, B. ; Baeriswyl, Dionys

In: Synthetic Metals, 2004, vol. 141, p. 193-196

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... Plus

Ajouter à la liste personnelle
    Summary
    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, Vc/t≈s³. This signals the initial stage of the quantum melting of the Wigner lattice.