2014

Ward Identities for Hall Transport

Hoyos, Carlos, Kim, Bom Soo, Oz, Yaron

Understand

We derive quantum field theory Ward identities based on linear area preserving and conformal transformations in 2+1 dimensions.

The identities relate Hall viscosities, Hall conductivities and the angular momentum.
They apply both for relativistic and non relativistic systems, at zero and at finite temperature.
We consider systems with or without translation invariance, and introduce an external magnetic field and viscous drag terms.

Built on

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Similar

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Cited in the paper.
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Then

Phys.Rev. D86
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Later among the works it cites.
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Original
2013
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F. M. Haehl and M. Rangamani, “Comments on Hall transport from effective actions,” JHEP 1310
Original
2013
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Y. Hidaka, Y. Hirono, T. Kimura and Y. Minami, “Viscoelastic-electromagnetism and Hall viscosity,” Progress of Theoretical and Experimental Physics, no. 1, 010003 (2013) [arXiv:1206.0734 [cond-mat.mes-hall]]
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2013
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ArXiv e-prints (2013), 1310.8305
M. Kaminski and S. Moroz, “Non-Relativistic Parity-Violating Hydrodynamics in Two Spatial Dimensions.” · 2013
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H. Liu, H. Ooguri, B. Stoica and N. Yunes, “Spontaneous Generation of Angular Momentum in Holographic Theories,” Phys. Rev. Lett. 110
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2013
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M. Mendoza, H.J. Herrmann, S. Succi, “Hydrodynamic Model for Conductivity in Graphene,” Scientific Reports 3
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2013
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C. Hoyos, “Hall viscosity, topological states and effective theories,” Int. J. Mod. Phys. B 28
Original
2014
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C. Hoyos, S. Moroz and D. T. Son, “Effective theory of chiral two-dimensional superfluids,” Phys. Rev. B 89
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2014
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C. Hoyos, B. S. Kim and Y. Oz, “Lifshitz Hydrodynamics,” JHEP 1311
Original
2014
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