Berry-phase effects in dipole density and Mott relation

Abstract

We provide a unified semiclassical theory for thermoelectric responses of any observable represented by an operator $\hat{\mathbf{\theta }}$ that is well-defined in periodic crystals. The Einstein and Mott relations are established generally, in the presence of Berry-phase effects, for various physical realizations of $\hat{\mathbf{\theta }}$ in electronic systems, including the familiar case of the electric current as well as the currently controversial cases of the spin polarization and spin current. The magnetization current, which has been proven indispensable in the thermoelectric response of electric current, is generalized to the cases of various $\hat{\mathbf{\theta }}$. In our theory the dipole density of a physical quantity emerges and plays a vital role, which contains not only the statistical sum of the dipole moment of $\hat{\mathbf{\theta }}$ but also a Berry-phase correction.

arXiv comment4 pages, 1 figure

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• Intrinsic Hall conductivities induced by the orbital magnetic moment
• Conserved current of nonconserved quantities
• Berry curvature effects on quasiparticle dynamics in superconductors
• Thermoelectric response in nodal-point semimetals
• Topological Magnus responses in two and three dimensional systems
• Interlayer electric multipoles induced by in-plane field from quantum geometric origins
• Dynamical Chiral Nernst Effect in Twisted Van der Waals Few Layers
• Effects of Boundary on Orbital Magnetization for a Bilayer System with Different Chern Numbers
• Intrinsic Dynamic Generation of Spin Polarization by Time-Varying Electric Field
• Orbital Gravito-Magnetoelectric response and Orbital magnetic quadrupole moment correction
• Microscopic theory of spin Nernst effect
• Spin accumulation in the spin Nernst effect
• Detecting Topological Superconductivity via Berry Curvature Effects in Spectral Functions
• Formulation of spin Nernst effect for spin-nonconserving insulating magnets
• Frequency Domain Berry Curvature Effect on Time Refraction
• Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field
• Theory of thermopolarization effect
• Thermal Responses of Spin Density and Spin Current Induced by Bogoliubov Fermi Surfaces in Proximity Superconductors
• Quantum Christoffel Nonlinear Magnetization
• Intrinsic Nernst Effect from Berry Curvature in Superconductors
• Chiral kinematic theory and converse vortical effects