On the Mott glass in the one-dimensional half-filled charge density waves

TL;DR

This paper investigates the Mott glass phase in a one-dimensional half-filled electron system with impurities, revealing its emergence due to competition between impurity and commensurate potentials through numerical and analytical methods.

Contribution

It provides a numerical verification of the Mott glass state in a classical phase Hamiltonian model considering impurity effects, highlighting the conditions for its appearance.

Findings

Mott glass appears where impurity and commensurate potentials compete

Verification via soliton formation energy and local restoring force

Optical conductivity analysis supports the Mott glass state

Abstract

We study the effect of impurity pinning on a one-dimensional half-filled electron system, which is expressed in terms of a phase Hamiltonian with the charge degree of freedom. Within the classical treatment, the pinned state is examined numerically. The Mott glass, which has been pointed out by Orignac et al. [Phys. Rev. Lett 83 (1999) 2378], appears in the intermediate region where the impurity potential competes with the commensurate potential. Such a state is verified by calculating the soliton formation energy, the local restoring force around the pinned state and the optical conductivity.