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Massive Dirac fermions break the chiral symmetry explicitly and also make theBerry curvature of the band structure non-Abelian. By utilizing the Green'sfunction technique, we develop a microscopic theory to establish a set ofquantum diffusive equations for massive Dirac materials in the presence ofelectric and magnetic fields. It is found that the longitudinalmagnetoresistance is always negative and quadratic in the magnetic field, anddecays quickly with the mass. The theory is applicable to the systems withnon-Abelian Berry curvature and resolves the puzzles of anomalousmagnetotransport properties measured in topological materials.

Quantum Diffusive Magneto-transport in Massive Dirac Materials with Chiral Symmetry Breaking