Quantum phase transition in the one-dimensional extended Peierls-Hubbard model

Abstract

We consider the one-dimensional extended Hubbard model in the presence of an explicit dimerization $\delta$. For a sufficiently strong nearest neighbour repulsion we establish the existence of a quantum phase transition between a mixed bond-order wave and charge-density wave phase from a pure bond-order wave phase. This phase transition is in the universality class of the two-dimensional Ising model.

6 pages, 3 figures

References in corpus (5)

• Quantum critical behavior of the one-dimensional ionic Hubbard model
• Ground-state phase diagram of the one-dimensional half-filled extended Hubbard model
• On the mass spectrum of the two-dimensional O(3) sigma model with theta term
• Perturbation theory for optical excitations in the one-dimensional extended Peierls--Hubbard model
• The Peierls-Hubbard model at weak coupling

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• Critical behavior of the extended Hubbard model with bond dimerization
• Weakly interacting one-dimensional topological insulators: a bosonization approach
• Ground state phases and quantum criticalities of one-dimensional Peierls model with spin-dependent sign-alternating potentials
• Quantum Restored Symmetry Protected Topological Phases
• Long range alternating spin current order in a quantum wire with modulated spin-orbit interactions