Linear magnetoresistance of two-dimensional massless Dirac fermions in the quantum limit
Phys. Rev. B 112, 224208 – Published 15 December, 2025
DOI: https://doi.org/10.1103/71gt-mjjf
Abstract
Linear magnetoresistance is a hallmark of three-dimensional (3D) Weyl metals in the quantum limit. Recently, a pronounced linear magnetoresistance has also been observed in 2D graphene [Xin et al., Nature (London) 616, 270 (2023)]. However, a comprehensive theoretical understanding remains elusive. By employing the self-consistent Born approximation, we derive the analytical expressions for the magnetoresistivity of 2D massless Dirac fermions in the quantum limit. Notably, our result recovers the minimum conductivity in the clean limit and reveals a linear dependence of resistivity on the magnetic field for Gaussian impurity potentials, in quantitative agreement with experiments. These findings shed light on the magnetoresistance behavior of 2D Dirac fermions under ultrahigh magnetic fields.
