Abstract
We construct a fully quantum zero-temperature electron star in a soft-wall regulated anti-de-Sitter Einstein-Maxwell-Dirac theory that is thermodynamically stable compared to the Reissner-Nordström black hole. The soft wall only acts on the effective mass of the fermionic degrees of freedom, and allows for a controlled fully backreacted solution. The star is holographically dual to an RG flow where a gapped Fermi liquid starts to emerge from a UV CFT, but decouples again once the effective energy scale becomes lower than the gap of the fermionic degrees of freedom. The RG flow then returns to a non-trivial strongly coupled relativistic fixed point with a holographic dual. Our regulated quantum electron star is thus the fermionic analogue of the Horowitz-Roberts-Gubser-Rocha AdS-to-AdS domain wall solution for the holographic superconductor.
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References
L. Huijse and S. Sachdev, Fermi surfaces and gauge-gravity duality, Phys. Rev. D 84 (2011) 026001 [arXiv:1104.5022] [INSPIRE].
H. Liu, J. McGreevy and D. Vegh, Non-Fermi liquids from holography, Phys. Rev. D 83 (2011) 065029 [arXiv:0903.2477] [INSPIRE].
M. Cubrovic, J. Zaanen and K. Schalm, String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid, Science 325 (2009) 439 [arXiv:0904.1993] [INSPIRE].
T. Faulkner, H. Liu, J. McGreevy and D. Vegh, Emergent quantum criticality, Fermi surfaces, and AdS2, Phys. Rev. D 83 (2011) 125002 [arXiv:0907.2694] [INSPIRE].
S.A. Hartnoll and A. Tavanfar, Electron stars for holographic metallic criticality, Phys. Rev. D 83 (2011) 046003 [arXiv:1008.2828] [INSPIRE].
V.G.M. Puletti, S. Nowling, L. Thorlacius and T. Zingg, Holographic metals at finite temperature, JHEP 01 (2011) 117 [arXiv:1011.6261] [INSPIRE].
S.A. Hartnoll and P. Petrov, Electron star birth: A continuous phase transition at nonzero density, Phys. Rev. Lett. 106 (2011) 121601 [arXiv:1011.6469] [INSPIRE].
S.A. Hartnoll, D.M. Hofman and D. Vegh, Stellar spectroscopy: Fermions and holographic Lifshitz criticality, JHEP 08 (2011) 096 [arXiv:1105.3197] [INSPIRE].
M. Cubrovic, Y. Liu, K. Schalm, Y.-W. Sun and J. Zaanen, Spectral probes of the holographic Fermi groundstate: dialing between the electron star and AdS Dirac hair, Phys. Rev. D 84 (2011) 086002 [arXiv:1106.1798] [INSPIRE].
J. Zaanen, Y. Liu, Y.-W. Sun and K. Schalm, Holographic Duality in Condensed Matter Physics, Cambridge University Press (2015) [DOI].
S.A. Hartnoll, A. Lucas and S. Sachdev, Holographic quantum matter, arXiv:1612.07324 [INSPIRE].
M.V. Medvedyeva, E. Gubankova, M. Čubrović, K. Schalm and J. Zaanen, Quantum corrected phase diagram of holographic fermions, JHEP 12 (2013) 025 [arXiv:1302.5149] [INSPIRE].
S. Sachdev, A model of a Fermi liquid using gauge-gravity duality, Phys. Rev. D 84 (2011) 066009 [arXiv:1107.5321] [INSPIRE].
A. Allais, J. McGreevy and S.J. Suh, A quantum electron star, Phys. Rev. Lett. 108 (2012) 231602 [arXiv:1202.5308] [INSPIRE].
A. Allais and J. McGreevy, How to construct a gravitating quantum electron star, Phys. Rev. D 88 (2013) 066006 [arXiv:1306.6075] [INSPIRE].
G.T. Horowitz and M.M. Roberts, Zero Temperature Limit of Holographic Superconductors, JHEP 11 (2009) 015 [arXiv:0908.3677] [INSPIRE].
S.S. Gubser and F.D. Rocha, The gravity dual to a quantum critical point with spontaneous symmetry breaking, Phys. Rev. Lett. 102 (2009) 061601 [arXiv:0807.1737] [INSPIRE].
S.S. Gubser and A. Nellore, Ground states of holographic superconductors, Phys. Rev. D 80 (2009) 105007 [arXiv:0908.1972] [INSPIRE].
S.A. Hartnoll and L. Huijse, Fractionalization of holographic Fermi surfaces, Class. Quant. Grav. 29 (2012) 194001 [arXiv:1111.2606] [INSPIRE].
C.P. Herzog, A Holographic Prediction of the Deconfinement Temperature, Phys. Rev. Lett. 98 (2007) 091601 [hep-th/0608151] [INSPIRE].
G.F. de Teramond and S.J. Brodsky, Excited Baryons in Holographic QCD, AIP Conf. Proc. 1432 (2012) 168 [arXiv:1108.0965] [INSPIRE].
A. Karch, E. Katz, D.T. Son and M.A. Stephanov, Linear confinement and AdS/QCD, Phys. Rev. D 74 (2006) 015005 [hep-ph/0602229] [INSPIRE].
Z. Fang, D. Li and Y.-L. Wu, IR-improved Soft-wall AdS/QCD Model for Baryons, Phys. Lett. B 754 (2016) 343 [arXiv:1602.00379] [INSPIRE].
N. Iizuka, N. Kundu, P. Narayan and S.P. Trivedi, Holographic Fermi and Non-Fermi Liquids with Transitions in Dilaton Gravity, JHEP 01 (2012) 094 [arXiv:1105.1162] [INSPIRE].
L.D. Landau and E.M. Lifshitz, Statistical Physics, Part 2: Theory of the Condensed State, Fizmatlit (2004).
S.S. Gubser, F.D. Rocha and P. Talavera, Normalizable fermion modes in a holographic superconductor, JHEP 10 (2010) 087 [arXiv:0911.3632] [INSPIRE].
F. Denef, S.A. Hartnoll and S. Sachdev, Quantum oscillations and black hole ringing, Phys. Rev. D 80 (2009) 126016 [arXiv:0908.1788] [INSPIRE].
K. Hashimoto and N. Iizuka, A Comment on Holographic Luttinger Theorem, JHEP 07 (2012) 064 [arXiv:1203.5388] [INSPIRE].
N. Iqbal, H. Liu and M. Mezei, Semi-local quantum liquids, JHEP 04 (2012) 086 [arXiv:1105.4621] [INSPIRE].
N. Iqbal and H. Liu, Real-time response in AdS/CFT with application to spinors, Fortsch. Phys. 57 (2009) 367 [arXiv:0903.2596] [INSPIRE].
G. Horowitz, A. Lawrence and E. Silverstein, Insightful D-branes, JHEP 07 (2009) 057 [arXiv:0904.3922] [INSPIRE].
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Chagnet, N., Ðukić, V., Čubrović, M. et al. Emerging Fermi liquids from regulated quantum electron stars. J. High Energ. Phys. 2022, 222 (2022). https://doi.org/10.1007/JHEP08(2022)222
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DOI: https://doi.org/10.1007/JHEP08(2022)222