Most efficient quantum thermoelectric at finite power output

TL;DR

This paper investigates the maximum achievable efficiency of quantum thermoelectric devices operating at finite power, revealing quantum-specific bounds and optimal conditions for energy filtering.

Contribution

It introduces a quantum mechanical upper bound on efficiency at finite power for thermoelectric systems, extending classical thermodynamics to quantum regimes.

Findings

Quantum bounds on efficiency decay with power

Optimal energy filtering at a specific energy window

Phonon heat flow suppresses efficiency

Abstract

Machines are only Carnot efficient if they are reversible, but then their power output is vanishingly small. Here we ask, what is the maximum efficiency of an irreversible device with finite power output? We use a nonlinear scattering theory to answer this question for thermoelectric quantum systems; heat engines or refrigerators consisting of nanostructures or molecules that exhibit a Peltier effect. We find that quantum mechanics places an upper bound on both power output, and on the efficiency at any finite power. The upper bound on efficiency equals Carnot efficiency at zero power output, but decays with increasing power output. It is intrinsically quantum (wavelength dependent), unlike Carnot efficiency. This maximum efficiency occurs when the system lets through all particles in a certain energy window, but none at other energies. A physical implementation of this is discussed, as is the suppression of efficiency by a phonon heat flow.