Holographic quantum criticality from multi-trace deformations

Journal of High Energy Physics

Volumn 2011, Issue 4, 2011, Pages

  Faulkner, Thomas ^a   Horowitz, Gary T ^b   Roberts, Matthew M ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

AdS CFT correspondence; Holography and condensed matter physics (AdS CMT)

Indexed keywords

EID: 80053142292     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP04(2011)051     Document Type: Review

References (68)

1. S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246].
2. J. McGreevy, Holographic duality with a view toward many-body physics, Adv. High Energy Phys. 2010 (2010) 723105 [arXiv:0909.0518].
3. S. Sachdev, Condensed matter and AdS/CFT, arXiv:1002.2947.
4. S.S. Gubser, Breaking an Abelian gauge symmetry near a black hole horizon, Phys. Rev. D 78 (2008) 065034 [arXiv:0801.2977].
5. S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Building a Holographic Superconductor, Phys. Rev. Lett. 101 (2008) 031601 [arXiv:0803.3295].
6. S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Holographic Superconductors, JHEP 12 (2008) 015 [arXiv:0810.1563].
7. L. Vecchi, Multitrace deformations, Gamow states and Stability of AdS/CFT, arXiv:1005.4921.
8. 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].
9. H. Liu, J. McGreevy and D. Vegh, Non-Fermi liquids from holography, arXiv:0903.2477.
10. M. Cubrovic, J. Zaanen and K. Schalm, String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid, Science 325 (2009) 439 [arXiv:0904.1993].
11. T. Faulkner, H. Liu, J. McGreevy and D. Vegh, Emergent quantum criticality, Fermi surfaces and AdS2, arXiv:0907.2694.
12. T. Faulkner, N. Iqbal, H. Liu, J. McGreevy and D. Vegh, From black holes to strange metals, arXiv:1003.1728.
13. F. Denef and S.A. Hartnoll, Landscape of superconducting membranes, Phys. Rev. D 79 (2009) 126008 [arXiv:0901.1160].
14. P. Breitenlohner and D.Z. Freedman, Positive Energy in anti-de Sitter Backgrounds and Gauged Extended Supergravity, Phys. Lett. B 115 (1982) 197.
15. E. Witten, Multi-trace operators, boundary conditions and AdS/CFT correspondence, hep-th/0112258.
16. M. Berkooz, A. Sever and A. Shomer, Double-trace deformations, boundary conditions and spacetime singularities, JHEP 05 (2002) 034 [hep-th/0112264].
17. A. Sever and A. Shomer, A note on multi-trace deformations and AdS/CFT, JHEP 07 (2002) 027 [hep-th/0203168].
18. I.R. Klebanov and E. Witten, AdS/CFT correspondence and symmetry breaking, Nucl. Phys. B 556 (1999) 89 [hep-th/9905104].
19. T. Faulkner, G.T. Horowitz and M.M. Roberts, New stability results for Einstein scalar gravity, Class. Quant. Grav. 27 (2010) 205007 [arXiv:1006.2387].
20. 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].
21. T. Faulkner and J. Polchinski, Semi-Holographic Fermi Liquids, arXiv:1001.5049.
22. J.A. Hertz, Quantum critical phenomena, Phys. Rev. B 14 (1976) 1165.
23. T. Moriya, Spin Fluctuations in Itinerant Electron Magnetism, Springer-Verlag, Berlin Germany (1985).
24. A.J. Millis, Effect of a nonzero temperature on quantum critical points in itinerant fermions systems, Phys. Rev. B 48 (1993) 7183.
25. H.v. Lohneysen, A. Rosch, M. Vojta and P. Wol e, Fermi-liquid instabilities at magnetic quantum phase transitions, Rev. Mod. Phys. 79 (2007) 1015.
26. P. Gegenwart, Q. Si and F. Steglich, Quantum criticality in heavy-fermion metals, Nat. Phys. 4 (2008) 186 [arXiv:0712.2045].
27. Q. Si, S. Rabello, K. Ingersent, and J.L. Smith, Locally critical quantum phase transitions in strongly correlated metals, Nature 413 (2001) 804 [cond-mat/0011477].
28. Q. Si, S. Rabello, K. Ingersent and J.L. Smith, Local uctuations in quantum critical metals, Phys. Rev. B 68 (2003) 115103 [cond-mat/0202414].
29. T. Senthil, S. Sachdev and M. Vojta, Fractionalized Fermi liquids, Phys. Rev. Lett. 90 (2003) 216403 [cond-mat/0209144].
30. T. Senthil, M. Vojta, and S. Sachdev, Weak magnetism and non-Fermi liquids near heavy-fermion critical points, Phys. Rev. B 69 (2004) 035111 [cond-mat/0305193].
31. Smith, J.L. and Q. Si, Spatial Correlations in Dynamical Mean Field Theory, Phys. Rev. B 61 (2000) 5184 [cond-mat/9903083].
32. F. Aprile, S. Franco, D. Rodriguez-Gomez and J.G. Russo, Phenomenological Models of Holographic Superconductors and Hall currents, JHEP 05 (2010) 102 [arXiv:1003.4487].
33. S.S. Gubser and I.R. Klebanov, A universal result on central charges in the presence of double-trace deformations, Nucl. Phys. B 656 (2003) 23 [hep-th/0212138].
34. A. Ishibashi and R.M. Wald, Dynamics in non-globally hyperbolic static spacetimes. III: anti-de Sitter spacetime, Class. Quant. Grav. 21 (2004) 2981 [hep-th/0402184].
35. T. Hertog and G.T. Horowitz, Holographic description of AdS cosmologies, JHEP 04 (2005) 005 [hep-th/0503071].
36. J.P. Gauntlett, J. Sonner and T. Wiseman, Holographic superconductivity in M-theory, Phys. Rev. Lett. 103 (2009) 151601 [arXiv:0907.3796].
37. S.S. Gubser, S.S. Pufu and F.D. Rocha, Quantum critical superconductors in string theory and M-theory, Phys. Lett. B 683 (2010) 201 [arXiv:0908.0011].
38. M. Cadoni, G. D'Appollonio and P. Pani, Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime, JHEP 03 (2010) 100 [arXiv:0912.3520].
39. D.T. Son and A.O. Starinets, Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications, JHEP 09 (2002) 042 [hep-th/0205051].
40. N. Iqbal and H. Liu, Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm, Phys. Rev. D 79 (2009) 025023 [arXiv:0809.3808].
41. A. Schroder et al., Onset of antiferromagnetism in heavy-fermion metals, Nature 407 (2000) 351.
42. K. Jensen, A. Karch, D.T. Son and E.G. Thompson, Holographic Berezinskii-Kosterlitz-Thouless Transitions, Phys. Rev. Lett. 105 (2010) 041601 [arXiv:1002.3159].
43. E. D'Hoker and P. Kraus, Magnetic Field Induced Quantum Criticality via new Asymptotically AdS5 Solutions, Class. Quant. Grav. 27 (2010) 215022 [arXiv:1006.2573].
44. S.S. Gubser and A. Nellore, Ground states of holographic superconductors, Phys. Rev. D 80 (2009) 105007 [arXiv:0908.1972].
45. C. Charmousis, B. Gouteraux, B.S. Kim, E. Kiritsis and R. Meyer, Effective Holographic Theories for low-temperature condensed matter systems, JHEP 11 (2010) 151 [arXiv:1005.4690].
46. G.T. Horowitz and M.M. Roberts, Zero Temperature Limit of Holographic Superconductors, JHEP 11 (2009) 015 [arXiv:0908.3677].
47. K. Balasubramanian and J. McGreevy, The particle number in Galilean holography, JHEP 01 (2011) 137 [arXiv:1007.2184].
48. S.S. Gubser, Curvature singularities: The good, the bad and the naked, Adv. Theor. Math. Phys. 4 (2000) 679 [hep-th/0002160].
49. T. Faulkner and H. Liu, Condensed matter physics of a strongly coupled gauge theory with quarks: some novel features of the phase diagram, arXiv:0812.4278.
50. J.M. Maldacena, J. Michelson and A. Strominger, Anti-de Sitter fragmentation, JHEP 02 (1999) 011 [hep-th/9812073].
51. S. Sachdev, Holographic metals and the fractionalized Fermi liquid, Phys. Rev. Lett. 105 (2010) 151602 [arXiv:1006.3794].
52. S.J. Yamamoto and Q. Si, Global Phase Diagram of the Kondo Lattice: From Heavy Fermion Metals to Kondo Insulators, J. Low. Temp. Phys. 161 (2010) 233 [arXiv:1006.4868].
53. G.T. Horowitz, Introduction to Holographic Superconductors, arXiv:1002.1722.
54. S.A. Hartnoll and C.P. Herzog, Ohm's Law at strong coupling: S duality and the cyclotron resonance, Phys. Rev. D 76 (2007) 106012 [arXiv:0706.3228].
55. K. Jensen, More Holographic Berezinskii-Kosterlitz-Thouless Transitions, Phys. Rev. D 82 (2010) 046005 [arXiv:1006.3066].
56. N. Evans, A. Gebauer, K.-Y. Kim and M. Magou, Phase diagram of the D3=D5 system in a magnetic field and a BKT transition, Phys. Lett. B 698 (2011) 91 [arXiv:1003.2694].
57. S.S. Pal, Quantum phase transition in a Dp-Dq system, Phys. Rev. D 82 (2010) 086013 [arXiv:1006.2444].
58. D.B. Kaplan, J.-W. Lee, D.T. Son and M.A. Stephanov, Conformality Lost, Phys. Rev. D 80 (2009) 125005 [arXiv:0905.4752].
59. F. Denef, S.A. Hartnoll and S. Sachdev, Black hole determinants and quasinormal modes, Class. Quant. Grav. 27 (2010) 125001 [arXiv:0908.2657].
60. F. Denef, S.A. Hartnoll and S. Sachdev, Quantum oscillations and black hole ringing, Phys. Rev. D 80 (2009) 126016 [arXiv:0908.1788].
61. S.A. Hartnoll and D.M. Hofman, Generalized Lifshitz-Kosevich scaling at quantum criticality from the holographic correspondence, Phys. Rev. B 81 (2010) 155125 [arXiv:0912.0008].
62. T. Hartman and S.A. Hartnoll, Cooper pairing near charged black holes, JHEP 06 (2010) 005 [arXiv:1003.1918].
63. D. Anninos, S.A. Hartnoll and N. Iqbal, Holography and the Coleman-Mermin-Wagner theorem, Phys. Rev. D 82 (2010) 066008 [arXiv:1005.1973].
64. S.A. Hartnoll, J. Polchinski, E. Silverstein and D. Tong, Towards strange metallic holography, JHEP 04 (2010) 120 [arXiv:0912.1061].
65. S. Kachru, X. Liu and M. Mulligan, Gravity Duals of Lifshitz-like Fixed Points, Phys. Rev. D 78 (2008) 106005 [arXiv:0808.1725].
66. K. Goldstein, S. Kachru, S. Prakash and S.P. Trivedi, Holography of Charged Dilaton Black Holes, JHEP 08 (2010) 078 [arXiv:0911.3586].
67. E. D'Hoker and P. Kraus, Holographic Metamagnetism, Quantum Criticality and Crossover Behavior, JHEP 05 (2010) 083 [arXiv:1003.1302].
68. A.J. Amsel and D. Marolf, Energy bounds in designer gravity, Phys. Rev. D 74 (2006) 064006 [Erratum ibid. D 75 (2007) 029901] [hep-th/0605101].