Unified bulk semiclassical theory for intrinsic thermal transport and magnetization currents

Abstract

We reveal the unexpected role of the material inhomogeneity in unifying the formulation of intrinsic thermal and thermoelectric transport as well as magnetization currents. The smooth inhomogeneity leads to the position dependent local band dispersion and phase-space Berry curvature, enabling a general and rapid access to transport and magnetization currents displaying the momentum-space Berry curvature physics. Our theory does not invoke the boundary current, the thermodynamic approach to magnetization or any mechanical counterpart of statistical forces. By introducing a fictitious inhomogeneity, it applies to homogeneous samples as well, promoting the inhomogeneity to be a basic trick in semiclassical transport theories. Such a trick works regardless of the driving force of transport, e.g., temperature gradient, in contrast to the trick of fictitious gravitational field in quantum transport theories. We thus include more general mechanical driving forces and establish the Mott relation between the resulting transport thermal and electric currents, whereas this relation for these two currents was previously only known when an electric field is the driving force.

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• Thermoelectric Generation of Orbital Magnetization in Metals
• Intrinsic Hall conductivities induced by the orbital magnetic moment
• Berry curvature effects on quasiparticle dynamics in superconductors
• Conserved current of nonconserved quantities
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• Quantum Theory of Nonlinear Thermal Response
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• Dynamical Chiral Nernst Effect in Twisted Van der Waals Few Layers
• A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
• Dynamical and current-induced Dzyaloshinskii-Moriya interaction: Role for damping, gyromagnetism, and current-induced torques in noncollinear magnets
• Theory of wavepacket transport under narrow gaps and spatial textures: non-adiabaticity and semiclassicality
• Microscopic formulas for thermoelectric transport coefficients in lattice systems
• Heat-bath approach to anomalous thermal transport: effects of inelastic scattering
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• Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field
• Theory of thermopolarization effect
• Intrinsic nonlinear valley Nernst effect
• Thermal Responses of Spin Density and Spin Current Induced by Bogoliubov Fermi Surfaces in Proximity Superconductors