Landau quantization and magnetotransport of pseudo-Hermitian Weyl semimetals

Abstract Non-Hermitian systems exhibit unique dynamical and transport properties transcending those of Hermitian ones. Here we study the magnetotransport of pseudo-Hermitian Weyl semimetal in the presence of an external magnetic field. We present a comprehensive study through a combination of theoretical and numerical calculations. To analyze the magnetic responses, we solve the Landau levels using a continuum model under a strong magnetic field, and derive the semiclassical equations of motion for Bloch electrons in the weak-field limit. We identify the topological and non-topological anomalous current by clarifying the particle-hole symmetry breaking, and uncover that the pseudo-Hermiticity amplifies the chiral magnetic effect, leading to a mediated chiral current and enhanced longitudinal conductivity. Notably, we show the anomalous contributions from the higher Landau levels, a phenomenon absent in the Hermitian limit.