The Peierls-Hubbard model at weak coupling

Abstract

We investigate the Peierls transition in the one-dimensional Peierls-Hubbard model at half filling in the adiabatic approximation for the lattice. Depending on the value of the electron-lattice coupling constant g the equilibrium dimerization can be either enhanced or suppressed by the Hubbard interaction U. Applying second order perturbation theory we determine the critical value g_c = 0.689348 below which the Hubbard interaction enhances the dimerization.

8 pages, 4 figures

References in corpus (5)

• Peierls transition in the presence of finite-frequency phonons in the one-dimensional extended Peierls-Hubbard model at half-filling
• Correlation Effect on Peierls Transition
• Finite-Size Bosonization and Self-Consistent Harmonic Approximation
• Incremental expansions for Hubbard-Peierls systems
• Bosonization of dimerized Hubbard chains

Cited by in corpus (6)

• Ising tricriticality in the extended Hubbard model with bond dimerization
• Tomonaga-Luttinger parameters and spin excitations in the dimerized extended Hubbard model
• Quantum phase transition in the one-dimensional extended Peierls-Hubbard model
• Critical behavior of the extended Hubbard model with bond dimerization
• One-dimensional Hubbard model at quarter filling on periodic potentials
• Su-Schrieffer-Heeger-Hubbard model at quarter filling: effects of magnetic field and non-local interactions