Transport statistics and thermoelectric performance of Hofstadters butterfly
cond-mat.mes-hall, cond-mat.stat-mech
Submitted: 2026-09-18
Updated: 2026-09-18
Comments: 8+3+2 pages, 7 figures
License: http://creativecommons.org/licenses/by/4.0/
The gist: We investigate electrons subject to a magnetic field that may tunnel along a square lattice and additionally to two electronic leads.
Terminology
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.
Sources
- Exact quantum geometry from sublattice symmetry: Closed-form solution of the quarter-flux Harper-Hofstadter model
- The role of charge in thermodynamic uncertainty relations
- Thermodynamic bound on the Fano factor of a coherent thermoelectric heat engine
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