Linear magnetoresistance of two-dimensional massless Dirac fermions in the quantum limit
arXiv:2512.13475 · doi:10.1103/71gt-mjjf
Abstract
Linear magnetoresistance is a hallmark of 3D Weyl metals in the quantum limit. Recently, a pronounced linear magnetoresistance has also been observed in 2D graphene [Xin et al., Nature 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 ultra-high magnetic fields.
6 pages, 3 figures
References in corpus (16)
- The electronic properties of graphene
- Quantum transport evidence for a three-dimensional Dirac semimetal phase in Cd3As2
- Electron transport in disordered graphene
- Linear magnetoresistance caused by mobility fluctuations in the n-doped Cd3As2
- Chiral Anomaly and Diffusive Magnetotransport in Weyl Metals
- On the minimal conductivity of graphene
- Intervalley Scattering and Localization Behaviors of Spin-Valley Coupled Dirac Fermions
- Quantum geometry induced second harmonic generation
- Notes on the minimal longitudinal dc conductivity of perfect bilayer graphene
- Giant magnetoresistance of Dirac plasma in high-mobility graphene
- Anisotropic and strong negative magneto-resistance in the three-dimensional topological insulator Bi2Se3
- Quantum Interference Theory of Magnetoresistance in Dirac Materials
- Topological and disorder corrections to the transverse Wiedemann-Franz law and Mott relation in kagome magnets
- Nonlinear Hall effects with an exceptional ring
- Impurity and dispersion effects on the linear magnetoresistance in the quantum limit
- Tunable corner states in topological insulators with long-range hoppings and diverse shapes