Quantum thermostatted disordered systems and sensitivity under compression

Tommaso Vanzan and Lamberto Rondoni

Physica A: Statistical Mechanics and its Applications, 2018, vol. 493, issue C, 370-383

Abstract: A one-dimensional quantum system with off diagonal disorder, consisting of a sample of conducting regions randomly interspersed within potential barriers is considered. Results mainly concerning the large N limit are presented. In particular, the effect of compression on the transmission coefficient is investigated. A numerical method to simulate such a system, for a physically relevant number of barriers, is proposed. It is shown that the disordered model converges to the periodic case as N increases, with a rate of convergence which depends on the disorder degree. Compression always leads to a decrease of the transmission coefficient which may be exploited to design nano-technological sensors. Effective choices for the physical parameters to improve the sensitivity are provided. Eventually large fluctuations and rate functions are analysed.

Keywords: Disordered systems; Compression; Fluctuations; Kronig–Penney model; Transfer matrix technique (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:493:y:2018:i:c:p:370-383

DOI: 10.1016/j.physa.2017.11.009

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