Valley-resolved Hall viscosity is finite in gapped Dirac materials, regularizing a previously identified divergence and extending the Hoyos-Son formula to individual valleys.
Electromagnetic and gravitational responses of two-dimensional noninteracting electrons in a background magnetic field
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abstract
We compute electromagnetic, gravitational and mixed linear response functions of two- dimensional free fermions in external quantizing magnetic field at an integer filling factor. The results are presented in the form of the effective action and as an expansion of currents and stresses in wave-vectors and frequencies of the probing electromagnetic and metric fields. We identify the terms in linear response functions coming from geometric Chern-Simons, Wen-Zee, and gravitational Chern-Simons terms in effective action. We derive the expressions for Hall conductivity, Hall viscosity and find the current and charge density responses to the spatial curvature as well as stresses caused by inhomogeneous electromagnetic fields.
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A parameterized family of non-relativistic supergravity theories with torsion is obtained in three dimensions from the semigroup expansion of an N=2 supersymmetric Mielke-Baekler algebra.
Emergent Hall viscosity for integer quantum Hall phases in graphene is derived as a sum of geometric and electronic terms that depends on two topological invariants obtained via Green function Wigner-Weyl calculus.
citing papers explorer
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Valley Hall viscosity in the integer quantum Hall phases of (2+1)D Dirac materials
Valley-resolved Hall viscosity is finite in gapped Dirac materials, regularizing a previously identified divergence and extending the Hoyos-Son formula to individual valleys.
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Non-Relativistic Chern-Simons Supergravity with Torsion
A parameterized family of non-relativistic supergravity theories with torsion is obtained in three dimensions from the semigroup expansion of an N=2 supersymmetric Mielke-Baekler algebra.
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Emergent Hall viscosity in the integer quantum Hall phases of graphene-like systems
Emergent Hall viscosity for integer quantum Hall phases in graphene is derived as a sum of geometric and electronic terms that depends on two topological invariants obtained via Green function Wigner-Weyl calculus.