非对角无序量子驱动恒温系统中的电流
Current in a quantum driven thermostatted system with off-diagonal disorder
摘要:
我们分析了一个非对角无序的一维量子模型,该模型由一系列势能势垒组成,其宽度是一个随机变量,可以是均匀分布的,也可以是“半正态”分布的,受到外部电场的作用。我们阐明了微观无序如何影响透射系数的值,以及对应于规则晶格配置的解决方案周围的波动结构。我们还刻画了通过让障碍的数量发散,而他们的总宽度保持不变的渐近极限。因此,我们解释了我们的方法相对于文献中讨论的标准热力学极限的新颖性,也证明了透射系数的大偏差原理的发病。
英文摘要:
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, while their total width is kept constant. 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 deviations principle for the transmission coefficient.
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