Current in a quantum driven thermostatted system with off-diagonal disorder

M. Colangeli, M. Pizzi and L. Rondoni

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 14, 2977-2987

Abstract: We analyze a one dimensional quantum model with off-diagonal disorder, consisting of a sequence of potential energy barriers whose width is a random variable either uniformly or “half-normally” distributed, subjected to an external electric field. We shed light on how the microscopic disorder affects the value of the transmission coefficient and on the structure of the fluctuations around the solutions corresponding to the regular lattice configuration. We also characterize the asymptotic limit obtained by letting the number of barriers diverge. Thus, we explain the novelty of our method with respect to the standard thermodynamic limit discussed in the literature and also evidence the onset of a large deviation principle for the transmission coefficient.

Keywords: Quantum tunneling; Disordered systems; Length scale separation; Thermodynamic limit (search for similar items in EconPapers)
Date: 2013
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:14:p:2977-2987

DOI: 10.1016/j.physa.2013.03.011

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