PreprintCC BY 4.0arXiv
Transport statistics and thermoelectric performance of Hofstadters butterfly
Abstract
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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BibTeX
@misc{queißer2026transport,
title = {{Transport statistics and thermoelectric performance of Hofstadters butterfly}},
author = {Friedemann Queißer and Gernot Schaller},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21588},
eprint = {2609.21588},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21588},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Transport statistics and thermoelectric performance of Hofstadters butterfly
AU - Friedemann Queißer
AU - Gernot Schaller
PY - 2026
DA - 2026/09/18
PB - arXiv
DO - 10.48550/arxiv.2609.21588
UR - https://arxiv.org/abs/2609.21588
AB - 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.
ER -