Nonequilibrium Quantum Breakdown in a Strongly Correlated Electron System
Strongly Correlated Electrons
2012-02-01 v1 Statistical Mechanics
Abstract
The nonlinear transport properties of the Mott insulator are discussed with focus on the many-body Landau-Zener mechanism. After reviewing basic concepts such as the non-adiabatic geometric phase and the Schwinger mechanism, we study the decay of the insulating groundstate in strong electric fields using the time-dependent density matrix renormalization group. A short comment on the proposed mapping to the quantum walk model is added before discussing the relevance of the theory to experimental results. This article is a draft of a book chapter of the book entitled "Quantum and Semi-classical Percolation & Breakdown" (Lecture Note in Physics, Springer-Verlag), to appear 2008.
Cite
@article{arxiv.0803.0422,
title = {Nonequilibrium Quantum Breakdown in a Strongly Correlated Electron System},
author = {Takashi Oka and Hideo Aoki},
journal= {arXiv preprint arXiv:0803.0422},
year = {2012}
}