Electron-electron interactions in disordered metals: keldysh formalism
Electron-electron interactions in disordered metals: keldysh formalism
复制标题
无序金属中的电子-电子相互作用：凯尔迪什形式主义
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
A. Andreev
中科院分区：
文献类型：
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作者：
A. Kamenev;A. Andreev
我们发展了一个场论形式的无序相互作用的电子液体的动态Keldysh制定。这种形式主义是一种替代以前使用的复制品技术。此外，它自然允许处理非平衡效应。采用规范不变性的理论，并仔细选择鞍点在$Q$-矩阵流形，我们分离的波动电位的纯相位效应，改变准粒子动力学。结果，超发散图（d=2的双发散图）的消除自动建立在形式主义中。作为一个副产品，我们得到了单粒子态密度的非微扰表达式。剩余的低能量sigma模型描述了电子分布函数的量子涨落。它的鞍点方程似乎是一个量子动力学方程与一个适当的碰撞积分沿着与无碰撞条款。电导率的Altshuler-Aronov修正是由单圈量子涨落效应引起的。
We develop a field theory formalism for the disordered interacting electron liquid in the dynamical Keldysh formulation. This formalism is an alternative to the previously used replica technique. In addition it naturally allows for the treatment of non-equilibrium effects. Employing the gauge invariance of the theory and carefully choosing the saddle point in the $Q$-matrix manifold, we separate purely phase effects of the fluctuating potential from the ones that change quasi-particle dynamics. As a result, the cancellation of super-divergent diagrams (double logarithms in d=2) is automatically build in the formalism. As a byproduct we derive a non--perturbative expression for the single particle density of states. The remaining low-energy sigma--model describes the quantum fluctuations of the electron distribution function. Its saddle point equation appears to be the quantum kinetic equation with an appropriate collision integral along with collisionless terms. Altshuler-Aronov corrections to conductivity are shown to arise from the one-loop quantum fluctuation effects.