Thermoelectrics of Interacting Nanosystems -- Exploiting Superselection Instead of Time-Reversal Symmetry
Journal article, 2017

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.

thermoelectrics

fermion parity

transport through quantum dots

strong Coulomb interaction

Author

Jens Schulenborg

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Angelo di Marco

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Joren Vanherck

Interuniversity Micro-Electronics Center at Leuven

University of Antwerp

Maarten Wegewijs

RWTH Aachen University

JARA - Fundamentals of Future Information Technologies

Forschungszentrum Jülich

Janine Splettstoesser

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Entropy

1099-4300 (ISSN)

Vol. 19 12 668

Areas of Advance

Nanoscience and Nanotechnology (2010-2017)

Subject Categories

Physical Sciences

Condensed Matter Physics

DOI

10.3390/e19120668

More information

Latest update

9/6/2018 1