Semiclassical theory for the orbital magnetic moment of superconducting quasiparticles
Phys. Rev. B 113, 214520 – Published 29 June, 2026
DOI: https://doi.org/10.1103/zvwb-qmg7
Abstract
We study the orbital magnetic moment of Bogoliubov quasiparticles in superconductors with the semiclassical approach. We derive the orbital magnetic moment of a quasiparticle wave packet by considering the energy correction of the wave packet to the linear order of the magnetic field. The semiclassical result is further verified by a linear response calculation with a full quantum mechanical method. From the analytical expression, we find that nontrivial structure in the superconducting pairing gap alone is unable to produce quasiparticle orbital magnetic moment, which is in sharp contrast with the behavior of quasiparticle Berry curvatures. We apply the formula to study a tight-binding model with a chiral -wave superconducting gap and show the influence of orbital magnetic moment on the energy spectrum and local density of states. We also calculate the orbital Nernst effect driven by the interplay between the orbital magnetic moment and the Berry curvature of Bogoliubov quasiparticles.