Helical spin thermoelectrics controlled by a side-coupled magnetic quantum dot in the quantum spin Hall state

Abstract

We study the thermoelectric response of a device containing a pair of helical edge states contacted at the same temperature $T$ and chemical potential $\mu$ and connected to an external reservoir, with different chemical potential and temperature, through a side quantum dot. Different operational modes can be induced by applying a magnetic field $B$ and a gate voltage $V_g$ at the quantum dot. At finite $B$, the quantum dot acts simultaneously as a charge and a spin filter. Charge and spin currents are induced, not only through the quantum dot, but also along the edge states. We focus on linear response and analyze the regimes, which we identify as charge heat engines or refrigerator, spin heat engine and spin refrigerator.

11 pages, 9 figures

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• Optimal thermoelectricity with quantum spin-Hall edge states
• Nonlocal thermoelectricity in a topological Andreev interferometer
• Phase-coherent caloritronics with ordinary and topological Josephson junctions
• Nonlocal thermoelectric engines in hybrid topological Josephson junctions
• Nonlinear chiral refrigerators
• Thermodynamics and steady state of quantum motors and pumps far from equilibrium
• Signatures of Jackiw-Rebbi resonance in the thermal conductance of topological Josephson junctions with magnetic islands
• Detailed study of nonlinear cooling with two-terminal configurations of topological edge states
• Strategy for accurate thermal biasing at the nanoscale
• Quantum thermocouples: nonlocal conversion and control of heat in nanostructures
• Thermoelectric cooling properties of a quantum Hall Corbino device
• Interference effects induced by a precessing easy-plane magnet coupled to a helical edge state
• Electrically-detected single-spin resonance with Quantum Spin Hall edge states