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Quantum Hall effective action for the anisotropic Dirac semimetal

MPS-Authors
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Lier,  Ruben
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Pena Benitez,  Francisco
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Surówka,  Piotr
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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2006.14595.pdf
(Preprint), 451KB

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Citation

Hoyos, C., Lier, R., Pena Benitez, F., & Surówka, P. (2020). Quantum Hall effective action for the anisotropic Dirac semimetal. Physical Review B, 102(8): 081303. doi:10.1103/PhysRevB.102.081303.


Cite as: https://hdl.handle.net/21.11116/0000-0007-CB68-0
Abstract
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 PT 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.