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Quantum thermostatted disordered systems and sensitivity under compression

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  • Vanzan, Tommaso
  • Rondoni, Lamberto

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.

Suggested Citation

  • Vanzan, Tommaso & Rondoni, Lamberto, 2018. "Quantum thermostatted disordered systems and sensitivity under compression," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 370-383.
    • Handle: RePEc:eee:phsmap:v:493:y:2018:i:c:p:370-383
    DOI: 10.1016/j.physa.2017.11.009
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    References listed on IDEAS

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    1. Colangeli, M. & Pizzi, M. & Rondoni, L., 2013. "Current in a quantum driven thermostatted system with off-diagonal disorder," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(14), pages 2977-2987.
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