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Ward Identities for Transport in 2+1 Dimensions · Around 2015
Ward Identities for Transport in 2+1 Dimensions Hoyos, Carlos, Kim, Bom Soo, Oz, Yaron
Understand We use the Ward identities corresponding to general linear transformations, and derive relations between transport coefficients of $(2+1)$-dimensional systems.
Our analysis includes relativistic and Galilean invariant systems, as well as systems without boost invariance such as Lifshitz theories. We consider translation invariant, as well as broken translation invariant cases, and include an external magnetic field. Our results agree with effective theory relations of incompressible Hall fluid, and with holographic calculations in a magnetically charged black hole background.
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1975
Earlier work this paper cites.
I. V. Tokatly, “Magnetoelasticity theory of incompressible quantum Hall liquids,” Phys. Rev. B 73
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S. A. Hartnoll and P. Kovtun, “Hall conductivity from dyonic black holes,” Phys. Rev. D 76
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2007
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S. A. Hartnoll and C. P. Herzog, “Ohm’s Law at strong coupling: S duality and the cyclotron resonance,” Phys. Rev. D 76
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2007
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N. Read, “Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p(x) + ip(y) paired superfluids,” Phys. Rev. B 79
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2009
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Similar Phys. Rev. B 76
I. V. Tokatly and G. Vignale, “Lorentz shear modulus of a two-dimensional electron gas at high magnetic field,” · 2009
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I. V. Tokatly and G. Vignale, “Lorentz shear modulus of fractional quantum Hall states,” Journal of Physics Condensed Matter 21
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2009
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N. Read and E. H. Rezayi, “Hall viscosity, orbital spin, and geometry: paired superfluids and quantum Hall systems,” Phys. Rev. B 84
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2011
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B. Bradlyn, M. Goldstein and N. Read, “Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity,” Phys. Rev. B 86
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2012
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K. Jensen, M. Kaminski, P. Kovtun, R. Meyer, A. Ritz and A. Yarom, “Parity-Violating Hydrodynamics in 2+1 Dimensions,” JHEP 1205
Original
Then C. Hoyos, B. S. Kim and Y. Oz, “Ward Identities for Hall Transport,” JHEP 1410
Original
2014
Later among the works it cites.
M. Kaminski and S. Moroz, “ Nonrelativistic parity-violating hydrodynamics in two spatial dimensions,” Phys. Rev. B 89
Original
2014
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H. Liu, H. Ooguri and B. Stoica, “Hall Viscosity and Angular Momentum in Gapless Holographic Models,” Phys. Rev. D 90
2014
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C. Wu, “Angular Momentum Generation from Holographic Chern Simons Models,” JHEP 1412
2014
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