# Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field

@inproceedings{Panigrahi2021EnergyMA, title={Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field}, author={Archisman Panigrahi and Subroto Mukerjee}, year={2021} }

We demonstrate that the well-known expression for the charge magnetization of a sample with a non-zero Berry curvature can be obtained by demanding that the Einstein relation holds for the electric transport current. We extend this formalism to the transport energy current and show that the energy magnetization must satisfy a particular condition. We provide a physical interpretation of this condition and relate the energy magnetization to circulating energy currents due to chiral edge states…

## References

SHOWING 1-10 OF 64 REFERENCES

### Berry-phase effect in anomalous thermoelectric transport.

- Physics, Materials SciencePhysical review letters
- 2006

A finite-temperature formula for the orbital magnetization is derived, which enables to provide an explicit expression for the off-diagonal thermoelectric conductivity, to establish the Mott relation between the anomalous Nernst and Hall effects, and to reaffirm the Onsager relations between reciprocal thermoelectedric conductivities.

### Berry Phase Effects in Dipole Density and the Mott Relation.

- PhysicsPhysical review letters
- 2020

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 θ[over ^] but also a Berry phase correction.

### Berry curvature induced thermopower in type-I and type-II Weyl semimetals

- PhysicsPhysical Review B
- 2019

Berry curvature acts analogously to a magnetic field in the momentum space, and it modifies the flow of charge carriers and entropy. This induces several intriguing magnetoelectric and magnetothermal…

### Orbital magnetic quadrupole moment and nonlinear anomalous thermoelectric transport

- PhysicsPhysical Review B
- 2018

We present a microscopic theory of the magnetic quadrupole moment density $\Qij$ in periodic crystals using the semiclassical framework of electron dynamics. We obtain a gauge-invariant expression…

### Boltzmann equation approach to anomalous transport in a Weyl metal

- Physics
- 2014

Weyl metal is regarded as a platform toward interacting topological states of matter, where its topological structure gives rise to anomalous transport phenomena, referred to as chiral magnetic…

### Electrical polarization and orbital magnetization: the modern theories.

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2010

Both theories of polarization and magnetization are reviewed on a uniform ground in a density functional theory (DFT) framework, pointing out analogies and differences.

### Role of Berry curvature in the generation of spin currents in Rashba systems

- Physics
- 2021

We study the background (equilibrium), linear and nonlinear spin currents in 2D Rashba spin-orbit coupled systems with Zeeman splitting and in 3D noncentrosymmetric metals using modified spin current…

### Quantum Nonlinear Hall Effect Induced by Berry Curvature Dipole in Time-Reversal Invariant Materials.

- PhysicsPhysical review letters
- 2015

It is demonstrated that Hall-like currents can occur in second-order response to external electric fields in a wide class of time-reversal invariant and inversion breaking materials, at both zero and twice the driving frequency.

### Berry Curvature Effects on Quasiparticle Dynamics in Superconductors.

- PhysicsPhysical review letters
- 2021

A theory for the semiclassical dynamics of superconducting quasiparticles is constructed by following their wave packet motion and rich contents of Berry curvature effects in the phase space spanned by position and momentum are revealed.

### Quantum theory of orbital magnetization and its generalization to interacting systems.

- PhysicsPhysical review letters
- 2007

The formula for the orbital magnetization in periodic systems is shown to be valid in the presence of electron-electrons interaction, provided the one-electron energies and wave functions are calculated self-consistently within the framework of the exact current and spin-density functional theory.