【摘要】 在随机矩阵理论框架下,发展了量子系统电导和自旋霍尔电导涨落的高阶效应的自动图形计算方法.计算了2端子混沌空腔中直至5阶的电导涨落的解析表达式,给出随机矩阵理论系综自旋霍尔电导涨落的一般公式,发现在通道数目较多时,对正交系综和幺正系综,自旋霍尔电导存在普适的方差1/8.更多还原

【Abstract】 Based on random-matrix theory,an automatic diagram calculation method for the higher order fluctuations of conductance and spin-Hall conductance was developed.The conductance fluctuations were calculated analytically up to the fifth order in the quantum system of the chaotic cavity connected with two ideal leads.The general formula for spin-Hall conductance fluctuations in random-matrix theory ensemble was reported for the first time.In the limits of large channel numbers,the universal spin-hall fluctuations variance was found to be 1/8 in circular orthogonal ensemble and circular unitary ensemble.更多还原