强磁场下的输运过程与Liouville方程的两种定态解

本文中讨论了在外场中Liouville方程的两种定态解,指出在用Kubo公式计算输运系数时的关键之处是:在完成Kubo公式中的时间积分之前,必须把关联函数的时间行为表示成趋向平衡的形式。注意到这一点就能得到正确的输运系数表示式。用这种办法,我们重新计算了文献[1]中曾讨论过的强磁场下的电导率,得到了正确的非零的结果。关键词：

TRANSPORT PROCESS UNDER STRONG MAGNETIC FIELD AND TWO STATIONARY SOLUTIONS OF THE LIOUVILLE EQUATION

In this paper, we discuss the problem of two stationary solutions of the Liouville equation when an external field is present. We show that the key point for calculating the transport coefficient by the Kubo formula is: before completing the integral over time, the time behavior of the correlation function must be expressed in terms of the theory of approach to equilibrium. With this point, being considered, it is then possible to derive the correct expression for transport coefficient. Using this method, we calculate once again the conductivity under strong magnetic field that had been discussed in reference [1], and obtain a correct non-vanishing result.