Abstract
We present a microscopic theory of the orbital magnetic quadrupole moment density in periodic crystals with combined time-reversal () and inversion () symmetry. We obtain a gauge-invariant expression with a clear physical interpretation and demonstrate the typical behavior of in a minimal two-band model that hosts a tilted Dirac cone. We then show that leads to an intrinsic nonlinear anomalous thermoelectric current. As an example, we calculate the nonlinear Nernst and Hall current in the loop-current model for cuprate superconductors, and demonstrate their unique behavior and capability of indicating invariance.
- Received 19 March 2018
DOI:https://doi.org/10.1103/PhysRevB.98.060402
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