We present a study of Hall transport in semi-Dirac critical phases. The construction is based on a covariant formulation of relativistic systems with spatial anisotropy. Geometric data together with external electromagnetic fields is used to devise an expansion procedure that leads to a low-energy effective action consistent with the discrete $\mathcal{P}\mathcal{T}$ symmetry that we impose. We use the action to discuss terms contributing to the Hall transport and extract the coefficients. We also discuss the associated scaling symmetry.

• Received 8 July 2020
• Revised 6 August 2020
• Accepted 12 August 2020

DOI:https://doi.org/10.1103/PhysRevB.102.081303

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Published by the American Physical Society