Quantum thermostatted disordered systems and sensitivity under compression

Aone-dimensional quantumsystem withoff diagonaldisorder, consistingof asample ofconductingregionsrandomlyinterspersedwithinpotentialbarriersisconsidered.ResultsmainlyconcerningthelargeNlimitarepresented.Inparticular,theeffectofcompressionon the transmission coefficient is investigated. A numerical method to simulate such asystem, for a physically relevant number of barriers, is proposed. It is shown that thedisorderedmodelconvergestotheperiodiccaseasNincreases,witharateofconvergencewhich depends on the disorder degree. Compression always leads to a decrease of thetransmission coefficient which may be exploited to design nano-technological sensors.Effective choices for the physical parameters to improve the sensitivity are provided.Eventuallylargefluctuationsandratefunctionsareanalysed