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# Title: Theory of Orbital Magnetic Quadrupole Moment and Nonlinear Anomalous Thermoelectric Transport

Authors: Y. Gao, D. Xiao
Abstract: 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 with clear physical interpretation and demonstrate the typical behaviour of $\Qij$ in a minimal two-band model that hosts a tilted Dirac cone. We then show that $\Qij$ leads to an intrinsic nonlinear anomalous thermoelectric current. This effect can be used to probe systems with combined time reversal and inversion symmetry. As an example, we calculate the nonlinear Nernst and Hall current in the loop-current model for cuprate superconductors, and find they are greatly enhanced around Dirac points and saddle points of the energy band, respectively.
 Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Cite as: arXiv:1803.06726 [cond-mat.mes-hall] (or arXiv:1803.06726v1 [cond-mat.mes-hall] for this version)

## Submission history

From: Yang Gao [view email]
[v1] Sun, 18 Mar 2018 19:56:28 GMT (144kb,D)