Nonlinear electric transport in odd-parity magnetic multipole systems: Application to Mn-based compounds

Abstract

Violation of parity symmetry gives rise to various physical phenomena such as nonlinear transport and cross-correlated responses. In particular, the nonlinear conductivity has been attracting a lot of attentions in spin-orbit coupled semiconductors, superconductors, topological materials, and so on. In this paper we present a theoretical study of the nonlinear conductivity in odd-parity magnetic multipole ordered systems whose PT symmetry is essentially distinct from the previously studied acentric systems. Combining microscopic formulation and symmetry analysis, we classify the nonlinear responses in the PT-symmetric systems as well as T-symmetric (nonmagnetic) systems, and uncover nonlinear conductivity unique to the odd-parity magnetic multipole systems. A giant nonlinear Hall effect, nematicity-assisted dichroism, and magnetically induced Berry curvature dipole effect are proposed and demonstrated in a model for Mn-based magnets.