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arXiv 1908.06282cond-mat.mes-hall
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霍尔器件的表面电流

Surface currents in Hall devices

M. Creff, F. Faisant, J. M. Rubì, J. -E. Wegrowe

摘要:

为了研究霍尔器件的定态,采用了变分法。根据基尔霍夫-亥姆霍兹最小散热原理,研究了电荷积累、电势和电流。一个简单的表达式的状态下的最小功率耗散-对应于零横向电流和谐波化学势-推导。它示出了一个纵向的表面电流成比例的电荷积累是流动的边缘附近的设备。电荷积累和表面电流在德拜-费米长度的数量级的距离上限定了边界层。

英文摘要:

A variational approach is used in order to study the stationary states of Hall devices. Charge accumulation, electric potentials and electric currents are investigated on the basis of the Kirchhoff-Helmholtz principle of least heat dissipation. A simple expression for the state of minimum power dissipated -- that corresponds to zero transverse current and harmonic chemical potential -- is derived. It is shown that a longitudinal surface current proportional to the charge accumulation is flowing near the edges of the device. Charge accumulation and surface currents define a boundary layer over a distance of the order of the Debye-Fermi length.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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