Onsager Relations in Coupled Electric, Thermoelectric and Spin Transport: The Ten-Fold Way

Abstract

Hamiltonian systems can be classified into ten classes, in terms of the presence or absence of time-reversal symmetry, particle-hole symmetry and sublattice/chiral symmetry. We construct a quantum coherent scattering theory of linear transport for coupled electric, heat and spin transport; including the effect of Andreev reflection from superconductors. We derive a complete list of the Onsager reciprocity relations between transport coefficients for coupled electric, spin, thermoelectric and spin caloritronic effects. We apply these to all ten symmetry classes, paying special attention to specific additional relations that follow from the combination of symmetries, beyond microreversibility. We discuss these relations in several illustrative situations. We show the reciprocity between spin-Hall and inverse spin-Hall effects, and the reciprocity between spin-injection and magnetoelectric spin currents. We discuss the symmetry and reciprocity relations of Seebeck, Peltier, spin-Seebeck and spin-Peltier effects in systems with and without coupling to superconductors.

14 pages (4 figures) - typos corrected in v2

References in corpus (11)

• Classification of topological insulators and superconductors in three spatial dimensions
• Direct electronic measurement of the spin Hall effect
• Thermo-spin effects in a quantum dot connected to ferromagnetic leads
• Electron Transport Driven by Nonequilibrium Magnetic Textures
• Mesoscopic Spin Hall Effect in Multiprobe Ballistic Spin-Orbit Coupled Semiconductor Bridges
• Spin Pumping of Current in Non-Uniform Conducting Magnets
• Mesoscopic Spin Hall Effect
• Detection of current-induced spins by ferromagnetic contacts
• Intrinsic Coupling between Current and Domain Wall Motion in (Ga,Mn)As
• Quantitative measurements of the thermal resistance of Andreev interferometers
• Thermopower oscillations in mesoscopic Andreev interferometers

Cited by in corpus (51)

• Thermoelectric energy harvesting with quantum dots
• Finding the quantum thermoelectric with maximal efficiency and minimal entropy production at given power output
• Thermodynamic and quantum bounds on nonlinear DC thermoelectric transport
• Giant spin Hall angle in the Heusler alloy Weyl ferromagnet Co${}_2$MnGa
• Verification of the Thomson-Onsager reciprocity relation for spin caloritronics
• Resolving spin currents and spin densities generated by charge-spin interconversion in systems with reduced crystal symmetry
• Spin accumulation without spin current
• Nonlocal thermoelectric engines in hybrid topological Josephson junctions
• Thermoelectrics of Interacting Nanosystems -- Exploiting Superselection instead of Time-Reversal Symmetry
• Kramers' degeneracy for open systems in thermal equilibrium
• Generalized correlation functions for conductance fluctuations and the mesoscopic spin Hall effect
• Direction-dependent conductivity in planar Hall set-ups with tilted Weyl/multi-Weyl semimetals
• A Lévy flight for electrons in graphene: superdiffusive-to-diffusive transport transition
• Signatures of topology in generic transport measurements for Rarita-Schwinger-Weyl semimetals
• Spin-to-Charge Conversion in 2D Electron Gas and Single-layer Graphene Devices
• Linear response in planar Hall and thermal Hall setups for Rarita-Schwinger-Weyl semimetals
• Spin Hall angle fluctuations in a disorder device
• Necessary and sufficient conditions for time reversal symmetry in presence of magnetic fields
• Anomalous Entanglement in Chaotic Dirac Billiards
• Thermoelectric processes of quantum normal-superconductor interfaces
• Transverse Cooper-Pair Rectifier
• Time Reversal Symmetry for Classical, Nonrelativistic Quantum and Spin Systems in Presence of Magnetic Fields
• Electrical detection of the inverse Edelstein effect on the surface of SmB${}_6$
• Thermal junctions controlled with Aharonov-Bohm phases
• Spin Hall angle in single-layer graphene
• Scattering theory of thermal and bipolar thermoelectric diodes
• On the Onsager-Casimir reciprocal relations in a tilted Weyl semimetal
• Quantum thermocouples: nonlocal conversion and control of heat in nanostructures
• Spin conductances and magnetization production in chiral molecular junctions
• Quantum Onsager relations
• Dynamical Hall responses of disordered superconductors
• Quantification of spin-charge interconversion in highly resistive sputtered Bi${}_x$Se${}_{1-x}$ with non-local spin valves
• Time-Reversal Symmetry Breaking and Decoherence in Chaotic Dirac Billiards
• Universal relations between thermoelectrics and noise in mesoscopic transport across a tunnel junction
• $\Delta T$-noise in Multiterminal Hybrid Systems
• Illusory cracks in the second law of thermodynamics in quantum nanoelectronics
• Tunneling anisotropic spin galvanic effect
• Disentangling contributions to longitudinal magnetoconductivity for Kramers-Weyl nodes
• Klein Paradox in Chaotic Dirac Billiards
• Transitional steady states of exchange dynamics between finite quantum systems
• Entanglement Distribution Statistic in Andreev Billiards
• Odd-parity longitudinal magnetoconductivity in time-reversal symmetry broken materials
• The spin Hall effect
• Engineering chiral-induced spin selectivity in an artificial topological quantum well
• Distinguishing features of longitudinal magnetoconductivity for a Rarita-Schwinger-Weyl node
• Transverse magnetic focusing in two-dimensional hole gases
• Conductance matrix symmetries of multiterminal semiconductor-superconductor devices
• Large spin-charge interconversion induced by interfacial spin-orbit coupling in a highly conducting all-metallic system
• Understanding and Designing the Spin-Driven Thermoelectrics
• Generalised Entanglement Entropies from Unit-Invariant Singular Value Decomposition
• Effects of spin-orbit coupling in a valley chiral kagomé network