Holographic superconductor/insulator transition at zero temperature

Journal of High Energy Physics

Volumn 2010, Issue 3, 2010, Pages

  Nishioka, Tatsuma ^a,b   Ryu, Shinsei ^c   Takayanagi, Tadashi ^b  

^a KYOTO UNIVERSITY   (Japan)

^b UNIVERSITY OF TOKYO   (Japan)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

AdS CFT correspondence; Black holes in string theory

Indexed keywords

EID: 77954923603     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP03(2010)131     Document Type: Article

References (44)

1. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231
2. [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [SPIRES].
3. E. Dagotto, Correlated electrons in high-temperature superconductors, Rev. Mod. Phys. 66 (1994) 763 [SPIRES]. (Pubitemid 24821628)
4. S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Building a Holographic Superconductor, Phys. Rev. Lett. 101 (2008) 031601 [arXiv:0803.3295] [SPIRES].
5. S.S. Gubser, Colorful horizons with charge in anti-de Sitter space, Phys. Rev. Lett. 101 (2008) 191601 [arXiv:0803.3483] [SPIRES].
6. C.P. Herzog, P.K. Kovtun and D.T. Son, Holographic model of superfluidity, Phys. Rev. D 79 (2009) 066002 [arXiv:0809.4870] [SPIRES].
7. P. Basu, A. Mukherjee and H.-H. Shieh, Supercurrent: Vector Hair for an AdS Black Hole, Phys. Rev. D 79 (2009) 045010 [arXiv:0809.4494] [SPIRES].
8. G.T. Horowitz and M.M. Roberts, Holographic Superconductors with Various Condensates, Phys. Rev. D 78 (2008) 126008 [arXiv:0810.1077] [SPIRES].
9. S.A. Hartnoll, C.P. Herzog and G.T. Horowitz, Holographic Superconductors, JHEP 12 (2008) 015 [arXiv:0810.1563] [SPIRES].
10. S.S. Gubser and A. Nellore, Low-temperature behavior of the Abelian Higgs model in anti-de Sitter space, JHEP 04 (2009) 008 [arXiv:0810.4554] [SPIRES].
11. S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [SPIRES].
12. C.P. Herzog, Lectures on Holographic Superfluidity and Superconductivity, J. Phys. A 42 (2009) 343001 [arXiv:0904.1975] [SPIRES].
13. E. Witten, Anti-de Sitter space, thermal phase transition and confinement in gauge theories, Adv. Theor. Math. Phys. 2 (1998) 505 [hep-th/9803131] [SPIRES].
14. G.T. Horowitz and R.C. Myers, The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity, Phys. Rev. D 59 (1998) 026005 [hep-th/9808079] [SPIRES].
15. S.W. Hawking and D.N. Page, Thermodynamics of Black Holes in anti-de Sitter Space, Commun. Math. Phys. 87 (1983) 577 [SPIRES].
16. P.A. Lee, N. Nagaosa and X.G. Wen, Doping a Mott insulator: Physics of high-temperature superconductivity, Rev. Mod. Phys. 78 (2006) 17 [cond-mat/0410445] [SPIRES].
17. S. Nakamura, H. Ooguri and C.-S. Park, Gravity Dual of SPatially Modulated Phase, Phys. Rev. D 81 (2010) 044018 [arXiv:0911.0679] [SPIRES].
18. 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] [SPIRES].
19. S.S. Gubser and A. Nellore, Ground states of holographic superconductors, Phys. Rev. D 80 (2009) 105007 [arXiv:0908.1972] [SPIRES].
20. G.T. Horowitz and M.M. Roberts, Zero Temperature Limit of Holographic Superconductors, JHEP 11 (2009) 015 [arXiv:0908.3677] [SPIRES].
21. R.A. Konoplya and A. Zhidenko, Holographic conductivity of zero temperature superconductors, Phys. Lett. B 686 (2010) 199 [arXiv:0909.2138] [SPIRES].
22. M. Fujita, W. Li, S. Ryu and T. Takayanagi, Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States and Hierarchy, JHEP 06 (2009) 066 [arXiv:0901.0924] [SPIRES].
23. T. Azeyanagi, W. Li and T. Takayanagi, On String Theory Duals of Lifshitz-like Fixed Points, JHEP 06 (2009) 084 [arXiv:0905.0688] [SPIRES].
24. I.R. Klebanov and E. Witten, Superconformal field theory on threebranes at a Calabi-Yau singularity, Nucl. Phys. B 536 (1998) 199 [hep-th/9807080] [SPIRES].
25. S.S. Gubser, C.P. Herzog, S.S. Pufu and T. Tesileanu, Superconductors from Superstrings, Phys. Rev. Lett. 103 (2009) 141601 [arXiv:0907.3510] [SPIRES].
26. D.J. Scalapino, E. Loh and J.E. Hirsch, d-wave pairing near a spin-density-wave instability, Phys. Rev. B 34 (1986) 8190.
27. K. Miyake, S. Schmitt-Rink and C.M. Varma, Spin-fluctuation-mediated even-parity pairing in heavy-fermion superconductors, Phys. Rev. B 34 (1986) 6554.
28. P. Monthoux and D. Pines, YBa2Cu3O7: A nearly antiferromagnetic Fermi liquid, Phys. Rev. B 47 (1993) 6069.
29. T. Moriya and K. Ueda, Spin Fluctuations and High Temperature Superconductivity, Adv. Phys. 49 (2000) 555.
30. S.A. Hartnoll, P.K. Kovtun, M. Muller and S. Sachdev, Theory of the Nernst effect near quantum phase transitions in condensed matter and in dyonic black holes, Phys. Rev. B 76 (2007) 144502 [arXiv:0706.3215] [SPIRES].
31. F. Denef, S.A. Hartnoll and S. Sachdev, Quantum oscillations and black hole ringing, Phys. Rev. D 80 (2009) 126016 [arXiv:0908.1788] [SPIRES].
32. S. Sachdev and N. Read, Large N expansion for frustrated and doped quantum antiferromagnets, Int. J. Mod. Phys. B 5 (1991) 219 [cond-mat/0402109].
33. S.-S. Lee, A Non-Fermi Liquid from a Charged Black Hole: A CriticalFermi Ball, Phys. Rev. D 79 (2009) 086006 [arXiv:0809.3402] [SPIRES].
34. M. Cubrovic, J. Zaanen and K. Schalm, String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid, Science 325 (2009) 439 [arXiv:0904.1993] [SPIRES].
35. H. Liu, J. McGreevy and D. Vegh, Non-Fermi liquids from holography, arXiv:0903.2477 [SPIRES].
36. T. Faulkner, H. Liu, J. McGreevy and D. Vegh, Emergent quantum criticality,Fermi surfaces and AdS2, arXiv:0907.2694 [SPIRES].
37. C.P. Herzog, I.R. Klebanov, S.S. Pufu and T. Tesileanu, Emergent Quantum Near-Criticality from Baryonic Black Branes, JHEP 03 (2010) 093 [arXiv:0911.0400] [SPIRES].
38. S.-J. Rey, String theory on thin semiconductors: Holographic realization ofFermi points and surfaces, Prog. Theor. Phys. Suppl. 177 (2009) 128 [arXiv:0911.5295] [SPIRES].
39. S. Kobayashi, D. Mateos, S. Matsuura, R.C. Myers and R.M. Thomson, Holographic phase transitions at finite baryon density, JHEP 02 (2007) 016 [hep-th/0611099] [SPIRES].
40. S. Ryu and T. Takayanagi, Holographic derivation of entanglement entropy from AdS/CFT, Phys. Rev. Lett. 96 (2006) 181602 [hep-th/0603001] [SPIRES].
41. S. Ryu and T. Takayanagi, Aspects of holographic entanglement entropy, JHEP 08 (2006) 045 [hep-th/0605073] [SPIRES].
42. T. Nishioka, S. Ryu and T. Takayanagi, Holographic Entanglement Entropy: An Overview, J. Phys. A 42 (2009) 504008 [arXiv:0905.0932] [SPIRES].
43. T. Nishioka and T. Takayanagi, AdS bubbles, entropy and closed string tachyons, JHEP 01 (2007) 090 [hep-th/0611035] [SPIRES].
44. I.R. Klebanov, D. Kutasov and A. Murugan, Entanglement as a Probe of Confinement, Nucl. Phys. B 796 (2008) 274 [arXiv:0709.2140] [SPIRES].