电子-电子碰撞对中温磁输运的作用
The role of electron-electron collisions for magnetotransport at intermediate temperatures
摘要：
我们讨论了在无序电子系统中的电流磁效应和热磁效应，重点是中间温度，电子-电子散射和电子-杂质散射发生在类似的速率，而声子相关的影响可以忽略不计。特别是，我们探讨如何驱动的电流和热电流由电场或温度梯度的动量相关的电子-杂质散射，电子-电子散射的相互作用的影响，和存在的磁场。我们发现，电阻，塞贝克系数和能斯特系数是特别敏感的动量依赖性的电子杂质散射率在中温。足够强的动量依赖性的电子-杂质散射率可以诱导的塞贝克系数的符号变化。这种符号变化可以通过垂直磁场来抑制。Seebeck系数的温度和磁场依赖性可用于测量电子-杂质和电子-电子散射率的大小。动量无关的电子杂质散射的能斯特系数为零，但显示在有限的温度下，一旦占的动量依赖性的最大值。相比之下，霍尔系数和Righi-Leduc系数显示只有一个弱的依赖于电子杂质散射的动量依赖在中间温度。
英文摘要：
We discuss galvanomagnetic and thermomagnetic effects in disordered electronic systems focusing on intermediate temperatures, for which electron-electron scattering and electron-impurity scattering occur at similar rates, while phonon-related effects can be neglected. In particular, we explore how electric and thermal currents driven either by an electric field or by a temperature gradient are affected by the interplay of momentum-dependent electron-impurity scattering, electron-electron scattering, and the presence of a magnetic field. We find that the electric resistance, the Seebeck coefficient and the Nernst coefficient are particularly sensitive to the momentum dependence of the electron-impurity scattering rate at intermediate temperatures. A sufficiently strong momentum dependence of the electron-impurity scattering rate can induce a sign change of the Seebeck coefficient. This sign change can be suppressed by a perpendicular magnetic field. The temperature and magnetic field dependence of the Seebeck coefficient can be used for measuring the magnitude of the electron-impurity and electron-electron scattering rates. The Nernst coefficient vanishes for momentum-independent electron-impurity scattering, but displays a maximum at finite temperatures once the momentum dependence is accounted for. By contrast, the Hall coefficient and the Righi-Leduc coefficient display only a weak dependence on the momentum dependence of the electron-impurity scattering at intermediate temperatures.
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