We consider the static Holstein model, describing a chain of fermions interacting with a classical phonon field, when the interaction is weak and the density is a rational number p = P/Q, with P, Q relative prime integers. We show that the energy of the system, as a function of the phonon field, has one (if Q is even) or two (if Q is odd) stationary points, defined up to a lattice translation, which are local minima in the space of fields periodic with period equal to the inverse of the density.
Benfatto, G., Gentile, G., Mastropietro, V. (1998). Peierls instability for the Holstein model with rational density. JOURNAL OF STATISTICAL PHYSICS, 92, 1071-1113 [10.1023/A:1023052812507].
Peierls instability for the Holstein model with rational density
BENFATTO, GIUSEPPE;MASTROPIETRO, VIERI
1998-01-01
Abstract
We consider the static Holstein model, describing a chain of fermions interacting with a classical phonon field, when the interaction is weak and the density is a rational number p = P/Q, with P, Q relative prime integers. We show that the energy of the system, as a function of the phonon field, has one (if Q is even) or two (if Q is odd) stationary points, defined up to a lattice translation, which are local minima in the space of fields periodic with period equal to the inverse of the density.File | Dimensione | Formato | |
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