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arXiv · 0803.0422

Nonequilibrium Quantum Breakdown in a Strongly Correlated Electron System

Takashi Oka·Hideo Aoki
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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.

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Takashi Oka, Hideo Aoki. 2008-03-04. Nonequilibrium Quantum Breakdown in a Strongly Correlated Electron System. https://arxiv.org/abs/0803.0422

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