Metal-Insulator Transition Accompanied with a Charge Ordering in the One-dimensional t-J' Model

TL;DR

This study investigates the metal-insulator transition with charge ordering in a 1D t-J' model at quarter filling, revealing a first-order transition driven by the competition between hopping and exchange energies.

Contribution

It identifies the critical point and characterizes the nature of the transition and phases in the 1D t-J' model using density matrix renormalization group methods.

Findings

Metal-insulator transition occurs at (t/J')_C = 0.18

Transition is first order

Insulating phase exhibits charge order and behaves as a 1D Heisenberg antiferromagnet

Abstract

We study the metal-insulator transition accompanied with a charge ordering in the one-dimensional (1D) t-J' model at quarter filling by the density matrix renormalization group method. In this model the nearest-neighbor hopping energy t competes with the next-nearest-neighbor exchange energy J'. We have found that a metal-insulator transition occurs at a finite value of t/J'; (t/J')_C = 0.18 and the transition is of first order. In the insulating phase for small t/J', there is an alternating charge ordering and the system behaves as a 1D quantum Heisenberg antiferromagnet. The metallic side belongs to the universality class of the Tomonaga-Luttinger liquids. The quantum phase transition is an example of melting of the 1D quantum Heisenberg antiferromagnet.