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arXiv 0911.4886cond-mat.mes-hall
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霍尔器件中电势的自洽计算

Self-consistent calculation of electric potentials in Hall devices

Tobias Kramer, Viktor Krueckl, Eric J. Heller, Robert E. Parrott

摘要:

使用第一性原理的经典多体模拟的霍尔酒吧,我们研究了霍尔电位的形成的必要条件:(i)欧姆接触与金属水库,(ii)电子-电子相互作用,(iii)限制到一个有限的系统。通过在数百万个时间步内传播数千个相互作用的电子,我们捕获了自洽势的建立,这类似于通过保角映射方法获得的结果。如电流注入的微观模型所示,霍尔效应与颗粒储层处的特定边界条件有关。

英文摘要:

Using a first-principles classical many-body simulation of a Hall bar, we study the necessary conditions for the formation of the Hall potential: (i) Ohmic contacts with metallic reservoirs, (ii) electron-electron interactions, and (iii) confinement to a finite system. By propagating thousands of interacting electrons over million time-steps we capture the build-up of the self-consistent potential, which resembles results obtained by conformal-mapping methods. As shown by a microscopic model of the current injection, the Hall effect is linked to specific boundary conditions at the particle reservoirs.

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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