2017/11/30 by Jens Schulenborg, A. Di Marco, Angelo Di Marco +4 · 20 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Advanced Thermoelectric Materials and Devices #Charge (physics) #Condensed matter physics #Duality (order theory) #Fermion #Mathematics #Nonlinear system #Parity (physics) #Physics #Quantum #Quantum mechanics #Statistical physics #Superselection #Theoretical physics #Thermal Radiation and Cooling Technologies #Thermoelectric effect #cond-mat.mes-hall
paper · pdf · doi:10.3390/e19120668
published in Entropy 19(12), 668 (Multidisciplinary Digital Publishing Institute) · 38 pages (23 main paper, 15 appendix), 8 figures
arxiv created 2017/12/06 · openalex publication_date 2017/12/06 · arxiv updated 2017/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Thermoelectric transport is traditionally analyzed using relations imposed by time-reversal symmetry, ranging from Onsager’s results to fluctuation relations in counting statistics. In this paper, we show that a recently discovered duality relation for fermionic systems—deriving from the fundamental fermion-parity superselection principle of quantum many-particle systems—provides new insights into thermoelectric transport. Using a master equation, we analyze the stationary charge and heat currents through a weakly coupled, but strongly interacting single-level quantum dot subject to electrical and thermal bias. In linear transport, the fermion-parity duality shows that features of thermoelectric response coefficients are actually dominated by the average and fluctuations of the charge in a dual quantum dot system, governed by attractive instead of repulsive electron-electron interaction. In the nonlinear regime, the duality furthermore relates most transport coefficients to much better understood equilibrium quantities. Finally, we naturally identify the fermion-parity as the part of the Coulomb interaction relevant for both the linear and nonlinear Fourier heat. Altogether, our findings hence reveal that next to time-reversal, the duality imposes equally important symmetry restrictions on thermoelectric transport. As such, it is also expected to simplify computations and clarify the physical understanding for more complex systems than the simplest relevant interacting nanostructure model studied here.