The Hall effect has long been used to identify the sign and density of charge carriers in metals. However, traditional Fermi-liquid and Boltzmann transport theory fail to explain ‘’Hall anomalies’’ which have been observed in strongly correlated metals and flux flowing superconductors. I will review our recent advances in magneto-transport theory, including new formulas for Hall coefficients allow us to explain Hall anomalies near the Mott insulator and Hall sign reversals in flux flow regimes of superconductors.
- Hall Number of Strongly Correlated Metals, A. Auerbach, Phys. Rev. Lett. 121, 066601 (2018).
- Equilibrium formulae for transverse magnetotransport of strongly correlated metals, A. Auerbach, Phys. Rev. B 99, 115115 (2019)
- Hall anomaly and moving vortex charge in layered superconductors, A. Auerbach, D. P. Arovas, SciPost Phys. 8, 061 (2020).