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Symmetry in full counting statistics, fluctuation theorem, and relations among nonlinear transport coefficients in the presence of a magnetic field

机译:全计数统计中的对称性,涨落定理以及在磁场存在下非线性传输系数之间的关系

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摘要

We study the full counting statistics of electron transport through multiterminal interacting quantum dots under a finite magnetic field. Microscopic reversibility leads to a symmetry of the cumulant generating function, which generalizes the fluctuation theorem in the context of the quantum transport. Using the symmetry, we derive the Onsager-Casimir relations in the linear transport regime and universal relations among nonlinear transport coefficients. One of the measurable relations is that the nonlinear conductance, the second-order coefficient with respect to the bias voltage, is connected to the third current cumulant in equilibrium, which can be a finite and uneven function of the magnetic field for two-terminal noncentrosymmetric system.
机译:我们研究在有限磁场下通过多末端相互作用量子点的电子传输的全计数统计。微观可逆性导致累积量生成函数的对称性,从而在量子输运的背景下推广了波动定理。利用对称性,我们推导了线性传输体系中的Onsager-Casimir关系和非线性传输系数之间的通用关系。可测量的关系之一是,非线性电导(相对于偏置电压的二阶系数)与第三电流累积量处于平衡状态,这对于两端非中心对称的磁场可能是磁场的有限且不均匀的函数系统。

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