Friedel oscillations and horizon charge in 1D holographic liquids
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  • 作者:Thomas Faulkner (1)
    Nabil Iqbal (2)
  • 关键词:AdS ; CFT Correspondence ; Holography and condensed matter physics (AdS/CMT) ; Solitons Monopoles and Instantons
  • 刊名:Journal of High Energy Physics
  • 出版年:2013
  • 出版时间:July 2013
  • 年:2013
  • 卷:2013
  • 期:7
  • 全文大小:1201KB
  • 参考文献:1. J. Luttinger, / Fermi Surface and Some Simple Equilibrium Properties of a System of Interacting Fermions, / Phys. Rev. 119 (1960) 1153 [INSPIRE]. CrossRef
    2. J.M. Maldacena, / The Large-N limit of superconformal field theories and supergravity, / Adv. Theor. Math. Phys. 2 (1998) 231 [ / Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE].
    3. E. Witten, / Anti-de Sitter space and holography, / Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
    4. S. Gubser, I.R. Klebanov and A.M. Polyakov, / Gauge theory correlators from noncritical string theory, / Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
    5. S.A. Hartnoll, / Lectures on holographic methods for condensed matter physics, / Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [INSPIRE]. CrossRef
    6. J. McGreevy, / Holographic duality with a view toward many-body physics, / Adv. High Energy Phys. 2010 (2010) 723105 [arXiv:0909.0518] [INSPIRE].
    7. S. Sachdev, / What can gauge-gravity duality teach us about condensed matter physics?, / Ann. Rev. Condensed Matter Phys. 3 (2012) 9 [arXiv:1108.1197] [INSPIRE]. CrossRef
    8. L. Huijse and S. Sachdev, / Fermi surfaces and gauge-gravity duality, / Phys. Rev. D 84 (2011) 026001 [arXiv:1104.5022] [INSPIRE].
    9. N. Iqbal, H. Liu and M. Mezei, / Semi-local quantum liquids, / JHEP 04 (2012) 086 [arXiv:1105.4621] [INSPIRE]. CrossRef
    10. S. Sachdev, / Holographic metals and the fractionalized Fermi liquid, / Phys. Rev. Lett. 105 (2010) 151602 [arXiv:1006.3794] [INSPIRE]. CrossRef
    11. S.A. Hartnoll, / Horizons, holography and condensed matter, arXiv:1106.4324 [INSPIRE].
    12. S. Sachdev, / The landscape of the Hubbard model, arXiv:1012.0299 [INSPIRE].
    13. M. Edalati, J.I. Jottar and R.G. Leigh, / Holography and the sound of criticality, / JHEP 10 (2010) 058 [arXiv:1005.4075] [INSPIRE]. CrossRef
    14. M. Edalati, J.I. Jottar and R.G. Leigh, / Shear Modes, Criticality and Extremal Black Holes, / JHEP 04 (2010) 075 [arXiv:1001.0779] [INSPIRE]. CrossRef
    15. S.A. Hartnoll and E. Shaghoulian, / Spectral weight in holographic scaling geometries, / JHEP 07 (2012) 078 [arXiv:1203.4236] [INSPIRE]. CrossRef
    16. J. Polchinski and E. Silverstein, / Large-density field theory, viscosity and 鈥? / k / F 鈥? / singularities from string duals, / Class. Quant. Grav. 29 (2012) 194008 [arXiv:1203.1015] [INSPIRE]. CrossRef
    17. S.-S. Lee, / A Non-Fermi Liquid from a Charged Black Hole: A Critical Fermi Ball, / Phys. Rev. D 79 (2009) 086006 [arXiv:0809.3402] [INSPIRE].
    18. H. Liu, J. McGreevy and D. Vegh, / Non-Fermi liquids from holography, / Phys. Rev. D 83 (2011) 065029 [arXiv:0903.2477] [INSPIRE].
    19. T. Faulkner, H. Liu, J. McGreevy and D. Vegh, / Emergent quantum criticality, Fermi surfaces and AdS 2, / Phys. Rev. D 83 (2011) 125002 [arXiv:0907.2694] [INSPIRE].
    20. 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]. CrossRef
    21. S.A. Hartnoll, D.M. Hofman and D. Vegh, / Stellar spectroscopy: Fermions and holographic Lifshitz criticality, / JHEP 08 (2011) 096 [arXiv:1105.3197] [INSPIRE]. CrossRef
    22. N. Iqbal, H. Liu and M. Mezei, / Lectures on holographic non-Fermi liquids and quantum phase transitions, arXiv:1110.3814 [INSPIRE].
    23. S. Sachdev, / A model of a Fermi liquid using gauge-gravity duality, / Phys. Rev. D 84 (2011) 066009 [arXiv:1107.5321] [INSPIRE].
    24. N. Iqbal and H. Liu, / Luttinger鈥?em class="a-plus-plus">s Theorem, Superfluid Vortices and Holography, / Class. Quant. Grav. 29 (2012) 194004 [arXiv:1112.3671] [INSPIRE]. CrossRef
    25. V. Puletti, S. Nowling, L. Thorlacius and T. Zingg, / Friedel Oscillations in Holographic Metals, / JHEP 01 (2012) 073 [arXiv:1110.4601] [INSPIRE]. CrossRef
    26. M. Ba帽ados, C. Teitelboim and J. Zanelli, / The Black hole in three-dimensional space-time, / Phys. Rev. Lett. 69 (1992) 1849 [hep-th/9204099] [INSPIRE]. CrossRef
    27. M. Ba帽ados, M. Henneaux, C. Teitelboim and J. Zanelli, / Geometry of the (2+1) black hole, / Phys. Rev. D 48 (1993) 1506 [gr-qc/9302012] [INSPIRE].
    28. C. Martinez, C. Teitelboim and J. Zanelli, / Charged rotating black hole in three space-time dimensions, / Phys. Rev. D 61 (2000) 104013 [hep-th/9912259] [INSPIRE].
    29. A.M. Polyakov, / Compact Gauge Fields and the Infrared Catastrophe, / Phys. Lett. B 59 (1975) 82 [INSPIRE].
    30. A.M. Polyakov, / Quark Confinement and Topology of Gauge Groups, / Nucl. Phys. B 120 (1977) 429 [INSPIRE]. CrossRef
    31. N. Read and S. Sachdev, / Valence-bond and spin-Peierls ground states of low-dimensional quantum antiferromagnets, / Phys. Rev. Lett. 62 (1989) 1694 [INSPIRE]. CrossRef
    32. N. Read and S. Sachdev, / Spin-Peierls, valence-bond solid, and N茅el ground states of low-dimensional quantum antiferromagnets, / Phys. Rev. B 42 (1990) 4568.
    33. P. Kraus, / Lectures on black holes and the AdS 3 / /CFT 2 / correspondence, / Lect. Notes Phys. 755 (2008) 193 [hep-th/0609074] [INSPIRE].
    34. K. Jensen, / Chiral anomalies and AdS/CMT in two dimensions, / JHEP 01 (2011) 109 [arXiv:1012.4831] [INSPIRE]. CrossRef
    35. I.R. Klebanov and E. Witten, / AdS/CFT correspondence and symmetry breaking, / Nucl. Phys. B 556 (1999) 89 [hep-th/9905104] [INSPIRE]. CrossRef
    36. E. Witten, SL(2 / , $ \mathbb{Z} $ ) / action on three-dimensional conformal field theories with Abelian symmetry, hep-th/0307041 [INSPIRE].
    37. D. Marolf and S.F. Ross, / Boundary Conditions and New Dualities: Vector Fields in AdS/CFT, / JHEP 11 (2006) 085 [hep-th/0606113] [INSPIRE]. CrossRef
    38. E. Witten, / Multitrace operators, boundary conditions and AdS/CFT correspondence, hep-th/0112258 [INSPIRE].
    39. N. Iqbal, H. Liu and M. Mezei, / Quantum phase transitions in semi-local quantum liquids, arXiv:1108.0425 [INSPIRE].
    40. S.A. Hartnoll and L. Huijse, / Fractionalization of holographic Fermi surfaces, / Class. Quant. Grav. 29 (2012) 194001 [arXiv:1111.2606] [INSPIRE]. CrossRef
    41. C. Charmousis, B. Gouteraux, B. Kim, E. Kiritsis and R. Meyer, / Effective Holographic Theories for low-temperature condensed matter systems, / JHEP 11 (2010) 151 [arXiv:1005.4690] [INSPIRE]. CrossRef
    42. K. Goldstein, S. Kachru, S. Prakash and S.P. Trivedi, / Holography of Charged Dilaton Black Holes, / JHEP 08 (2010) 078 [arXiv:0911.3586] [INSPIRE]. CrossRef
    43. T. Andrade and D. Marolf, / AdS/CFT beyond the unitarity bound, / JHEP 01 (2012) 049 [arXiv:1105.6337] [INSPIRE]. CrossRef
    44. T. Andrade, T. Faulkner and D. Marolf, / Banishing AdS Ghosts with a UV Cutoff, / JHEP 05 (2012) 011 [arXiv:1112.3085] [INSPIRE]. CrossRef
    45. J. Ren, / One-dimensional holographic superconductor from AdS 3 / /CFT 2 / correspondence, / JHEP 11 (2010) 055 [arXiv:1008.3904] [INSPIRE]. CrossRef
    46. L.-Y. Hung and A. Sinha, / Holographic quantum liquids in 1+1 dimensions, / JHEP 01 (2010) 114 [arXiv:0909.3526] [INSPIRE]. CrossRef
    47. X. Gao, M. Kaminski, H.-B. Zeng and H.-Q. Zhang, / Non-Equilibrium Field Dynamics of an Honest Holographic Superconductor, / JHEP 11 (2012) 112 [arXiv:1204.3103] [INSPIRE]. CrossRef
    48. D. Maity, S. Sarkar, N. Sircar, B. Sathiapalan and R. Shankar, / Properties of CFTs dual to Charged BTZ black-hole, / Nucl. Phys. B 839 (2010) 526 [arXiv:0909.4051] [INSPIRE]. CrossRef
    49. N. Iqbal and H. Liu, / Real-time response in AdS/CFT with application to spinors, / Fortsch. Phys. 57 (2009) 367 [arXiv:0903.2596] [INSPIRE]. CrossRef
    50. R.A. Davison and N.K. Kaplis, / Bosonic excitations of the AdS 4 / Reissner-Nordstrom black hole, / JHEP 12 (2011) 037 [arXiv:1111.0660] [INSPIRE]. CrossRef
    51. N. Iqbal, H. Liu, M. Mezei and Q. Si, / Quantum phase transitions in holographic models of magnetism and superconductors, / Phys. Rev. D 82 (2010) 045002 [arXiv:1003.0010] [INSPIRE].
    52. A. Karch, D. Son and A. Starinets, / Zero Sound from Holography, arXiv:0806.3796 [INSPIRE].
    53. R.A. Davison and A.O. Starinets, / Holographic zero sound at finite temperature, / Phys. Rev. D 85 (2012) 026004 [arXiv:1109.6343] [INSPIRE].
    54. A.K. Gupta, J. Hughes, J. Preskill and M.B. Wise, / Magnetic wormholes and topological symmetry, / Nucl. Phys. B 333 (1990) 195 [INSPIRE]. CrossRef
    55. J. Louko, D. Marolf and S.F. Ross, / On geodesic propagators and black hole holography, / Phys. Rev. D 62 (2000) 044041 [hep-th/0002111] [INSPIRE].
    56. G. Festuccia and H. Liu, / Excursions beyond the horizon: Black hole singularities in Yang-Mills theories. I., / JHEP 04 (2006) 044 [hep-th/0506202] [INSPIRE]. CrossRef
    57. J. Polchinski, / Monopoles, duality and string theory, / Int. J. Mod. Phys. A 19S1 (2004) 145 [hep-th/0304042] [INSPIRE].
    58. T. Banks and N. Seiberg, / Symmetries and Strings in Field Theory and Gravity, / Phys. Rev. D 83 (2011) 084019 [arXiv:1011.5120] [INSPIRE].
    59. M. Oshikawa, / Topological Approach to Luttinger鈥?em class="a-plus-plus">s Theorem and the Fermi Surface of a Kondo Lattice, / Physical Review Letters 84 (2000) 3370 [arXiv:cond-mat/0002392]. CrossRef
    60. M. Yamanaka, M. Oshikawa and I. Affleck, / Nonperturbative Approach to Luttinger鈥?em class="a-plus-plus">s Theorem in One Dimension, / Physical Review Letters 79 (1997) 1110 [arXiv:cond-mat/9701141]. CrossRef
    61. R. Gopakumar, A. Hashimoto, I.R. Klebanov, S. Sachdev and K. Schoutens, / Strange Metals in One Spatial Dimension, / Phys. Rev. D 86 (2012) 066003 [arXiv:1206.4719] [INSPIRE].
    62. T. Giamarchi, / Quantum Physics in One Dimension, Clarendon Press, Oxford (2003). CrossRef
    63. N. Ogawa, T. Takayanagi and T. Ugajin, / Holographic Fermi Surfaces and Entanglement Entropy, / JHEP 01 (2012) 125 [arXiv:1111.1023] [INSPIRE]. CrossRef
    64. E. Shaghoulian, / Holographic Entanglement Entropy and Fermi Surfaces, / JHEP 05 (2012) 065 [arXiv:1112.2702] [INSPIRE]. CrossRef
    65. L. Huijse, S. Sachdev and B. Swingle, / Hidden Fermi surfaces in compressible states of gauge-gravity duality, / Phys. Rev. B 85 (2012) 035121 [arXiv:1112.0573] [INSPIRE].
    66. V. Balasubramanian, I. Garcia-Etxebarria, F. Larsen and J. Simon, / Helical Luttinger Liquids and Three Dimensional Black Holes, / Phys. Rev. D 84 (2011) 126012 [arXiv:1012.4363] [INSPIRE].
    67. E. D鈥橦oker and P. Kraus, / Charged Magnetic Brane Correlators and Twisted Virasoro Algebras, / Phys. Rev. D 84 (2011) 065010 [arXiv:1105.3998] [INSPIRE].
    68. E. D鈥橦oker, P. Kraus and A. Shah, / RG Flow of Magnetic Brane Correlators, / JHEP 04 (2011) 039 [arXiv:1012.5072] [INSPIRE]. CrossRef
    69. R.D. Pisarski, / Magnetic Monopoles in Topologically Massive Gauge Theories, / Phys. Rev. D 34 (1986) 3851 [INSPIRE].
    70. I. Affleck, J.A. Harvey, L. Palla and G.W. Semenoff, / The Chern-Simons term versus the monopole, / Nucl. Phys. B 328 (1989) 575 [INSPIRE]. CrossRef
    71. M. Diamantini, P. Sodano and C. Trugenberger, / Topological excitations in compact Maxwell-Chern-Simons theory, / Phys. Rev. Lett. 71 (1993) 1969 [hep-th/9306073] [INSPIRE]. CrossRef
    72. K.-M. Lee, / Charge violation by instantons in Chern-Simons theories, / Nucl. Phys. B 373 (1992) 735 [INSPIRE]. CrossRef
    73. E.H. Fradkin and F.A. Schaposnik, / Chern-Simons gauge theories, confinement and the chiral spin liquid, / Phys. Rev. Lett. 66 (1991) 276 [INSPIRE]. CrossRef
    74. S. Mukhi, / Unravelling the novel Higgs mechanism in (2+1)d Chern-Simons theories, / JHEP 12 (2011) 083 [arXiv:1110.3048] [INSPIRE]. CrossRef
    75. T. Nishioka, S. Ryu and T. Takayanagi, / Holographic Superconductor/Insulator Transition at Zero Temperature, / JHEP 03 (2010) 131 [arXiv:0911.0962] [INSPIRE]. CrossRef
    76. G.T. Horowitz and B. Way, / Complete Phase Diagrams for a Holographic Superconductor/Insulator System, / JHEP 11 (2010) 011 [arXiv:1007.3714] [INSPIRE]. CrossRef
    77. K. Balasubramanian and J. McGreevy, / The Particle number in Galilean holography, / JHEP 01 (2011) 137 [arXiv:1007.2184] [INSPIRE]. CrossRef
    78. S.A. Hartnoll and D. Radicevic, / Holographic order parameter for charge fractionalization, / Phys. Rev. D 86 (2012) 066001 [arXiv:1205.5291] [INSPIRE].
    79. M.A. Metlitski, / Wilson Loops in Non-Compact U(1) Gauge Theories at Criticality, / Phys. Rev. D 77 (2008) 085011 [arXiv:0710.3771] [INSPIRE].
    80. M.A. Metlitski and S. Sachdev, / Valence bond solid order near impurities in two-dimensional quantum antiferromagnets, / Phys. Rev. B 77 (2008) 054411 [arXiv:0710.0626].
    81. F. Wilczek, / Magnetic Flux, Angular Momentum and Statistics, / Phys. Rev. Lett. 48 (1982) 1144 [INSPIRE]. CrossRef
    82. I. Heemskerk and J. Polchinski, / Holographic and Wilsonian Renormalization Groups, / JHEP 06 (2011) 031 [arXiv:1010.1264] [INSPIRE]. CrossRef
    83. T. Faulkner, H. Liu and M. Rangamani, / Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm, / JHEP 08 (2011) 051 [arXiv:1010.4036] [INSPIRE].
    84. T. Faulkner and J. Polchinski, / Semi-Holographic Fermi Liquids, / JHEP 06 (2011) 012 [arXiv:1001.5049] [INSPIRE]. CrossRef
  • 作者单位:Thomas Faulkner (1)
    Nabil Iqbal (2)

    1. Institute for Advanced Study, Princeton, NJ, 08540, U.S.A.
    2. Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA, 93106, U.S.A.
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