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arXiv 2609.21588cond-mat.mes-hallcond-mat.stat-mech

Hofstadter蝴蝶的输运统计与热电性能

Transport statistics and thermoelectric performance of Hofstadters butterfly

  • Helmholtz-Zentrum Dresden-Rossendorf(德累斯顿-罗森多夫亥姆霍兹中心)

机构由 AI 辅助整理,请以论文原文为准。

Friedemann Queißer, Gernot Schaller

AI总结:

本研究利用非平衡格林函数分析磁场下方格点阵电子的输运,发现拓扑保护边界模式导致宽频透射平台,可用于构建稳健电流标准、时钟和热电装置。

AI中文摘要:

我们研究了在磁场作用下、可沿方格点阵隧穿且额外连接两个电子引线的电子。利用非平衡格林函数,我们评估了该装置的透射率,并由此计算了粒子流、能量流及零频噪声。我们识别出甜点区域,在这些区域中,透射率在宽频率窗口内达到单位值——这由受拓扑保护的边界模式承载,这些模式对局域在位能的局部波动相当稳健。这些透射平台可用于实现稳健的电流标准、时钟和热电装置。

英文摘要:

We investigate electrons subject to a magnetic field that may tunnel along a square lattice and additionally to two electronic leads. Using non-equilibrium Greens functions we evaluate the transmission and from that particle and energy currents and zero-frequency noise of the setup. We identify sweet spots for which the transmission reaches unity over broad frequency windows -- carried by topologically protected boundary modes that are quite robust against local fluctuations of on-site energies. These transmission plateaus can be exploited for the implementation robust current standards, clocks and thermoelectric devices.

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