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

TL;DR

This paper investigates a quantum phase transition in a one-dimensional extended Hubbard model with dimerization, revealing a transition from a bond-order wave to a charge-density wave phase in the universality class of the 2D Ising model.

Contribution

It demonstrates the existence and nature of a quantum phase transition in the extended Hubbard model with explicit dimerization, characterizing its universality class.

Findings

Identifies a quantum phase transition between bond-order wave and charge-density wave phases.

Establishes the transition's universality class as the two-dimensional Ising model.

Shows the transition occurs at strong nearest neighbour repulsion.

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.