论文标题

轨道磁矩诱导的内在大厅电导率

Intrinsic Hall conductivities induced by the orbital magnetic moment

论文作者

Das, Kamal, Agarwal, Amit

论文摘要

固有的异常大厅效应是电子波功能的几何特性的最令人兴奋的表现之一。在这里,我们预测,电子波功能的几何特性也会引起纯量的机械,{\ it intinsic}(散射时间非依赖性的)组件,在存在磁场的情况下。我们表明,除了洛伦兹力引起的散射时间依赖性的“古典”霍尔效应之外,轨道磁矩和异常的大厅速度结合了对霍尔效应的散射时间无关的贡献。这种无耗散的大厅效应也表现在热电导率和导热率中,并且在带边缘和带形上方是主导的。它产生了负磁电阻,并且还导致低估了在HALL实验中测得的电荷载体密度。

The intrinsic anomalous Hall effect is one of the most exciting manifestations of the geometric properties of the electronic wave-function. Here, we predict that the electronic wave-function's geometric nature also gives rise to a purely quantum mechanical, {\it intrinsic} (scattering time-independent) component of the Hall conductivities in the presence of a magnetic field. We show that the orbital magnetic moment and the anomalous Hall velocity combine to generate a scattering time-independent contribution to the Hall effect, in addition to the Lorentz force induced scattering time-dependent `classical' Hall effect. This dissipation-less Hall effect also manifests in the thermo-electric and thermal conductivities and is dominant near the band edges and band-crossings. It gives rise to negative magneto-resistance and it also leads to an underestimation in the charge carrier density measured in Hall experiments.

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