Panigrahi, A and Mukerjee, S (2023) Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field. In: SciPost Physics Core, 6 (3).
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Abstract
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 in Chern insulators due to chiral edge states. We further recover the expression for the energy magnetization with this alternative formalism. We also solve the Boltzmann Transport Equation for the non-equilibrium distribution function in 2D for systems with a non-zero Berry curvature in a magnetic field. This distribution function can be used to obtain the regular Hall response in time-reversal invariant samples with a non-zero Berry curvature, for which there is no anomalous Hall response. Copyright A. Panigrahi and S. Mukerjee.
| Item Type: | Journal Article |
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| Publication: | SciPost Physics Core |
| Publisher: | SciPost Foundation |
| Additional Information: | The copyright for this article belongs to the SciPost Foundation. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Physics |
| Date Deposited: | 28 Oct 2023 08:23 |
| Last Modified: | 28 Oct 2023 08:23 |
| URI: | https://eprints.iisc.ac.in/id/eprint/83155 |
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