Conductivity of weakly disordered strange metals: From conformal to hyperscaling-violating regimes

Nuclear Physics B

Volumn 892, Issue , 2015, Pages 239-268

  Lucas, Andrew ^a   Sachdev, Subir ^a,b  

^a HARVARD UNIVERSITY   (United States)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84925008470     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2015.01.017     Document Type: Article

References (77)

1. Charmousis C., Goutéraux B., Kim B.S., Kiritsis E., Meyer R. Effective holographic theories for low-temperature condensed matter systems. JHEP 2010, 11:151. arxiv:1005.4690.
2. Iizuka N., Kundu N., Narayan P., Trivedi S.P. Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity. JHEP 2012, 01:094. arxiv:1105.1162.
3. Ogawa N., Takayanagi T., Ugajin T. Holographic Fermi surfaces and entanglement entropy. JHEP 2012, 01:125. arxiv:1111.1023.
4. Huijse L., Sachdev S., Swingle B. Hidden Fermi surfaces in compressible states of gauge-gravity duality. Phys. Rev. B 2012, 85:035121. arxiv:1112.0573.
5. Faulkner T., Iqbal N. Friedel oscillations and horizon charge in 1D holographic liquids. JHEP 2013, 07:060. arxiv:1207.4208.
6. Sachdev S. Compressible quantum phases from conformal field theories in 2+1 dimensions. Phys. Rev. D 2012, 86:126003. arxiv:1209.1637.
7. Gopakumar R., Hashimoto A., Klebanov I.R., Sachdev S., Schoutens K. Strange metals in one spatial dimension. Phys. Rev. D 2012, 86:066003. arxiv:1206.4719.
8. Iqbal N. Monopole correlations in holographically flavored liquids arxiv:1409.5467.
9. Hartnoll S.A., Kovtun P.K., Muller M., Sachdev S. Theory of the Nernst effect near quantum phase transitions in condensed matter, and in dyonic black holes. Phys. Rev. B 2007, 76:144502. arxiv:0706.3215.
10. Hartnoll S.A., Herzog C.P. Impure AdS/CFT. Phys. Rev. D 2008, 77:106009. arxiv:0801.1693.
11. Adams A., Yaida S. Disordered holographic systems I: functional renormalization arxiv:1102.2892.
12. Adams A., Yaida S. Disordered holographic systems II: marginal relevance of imperfection. Phys. Rev. D 2014, 90:046007. arxiv:1201.6366.
13. Hartnoll S.A., Hofman D.M. Locally critical umklapp scattering and holography. Phys. Rev. Lett. 2012, 108:241601. arxiv:1201.3917.
14. Arean D., Farahi A., Zayas L.A.P., Landea I.S., Scardicchio A. A dirty holographic superconductor. Phys. Rev. D 2014, 89:106003. arxiv:1308.1920.
15. Lucas A., Sachdev S., Schalm K. Scale-invariant hyperscaling-violating holographic theories and the resistivity of strange metals with random-field disorder. Phys. Rev. D 2014, 89:066018. arxiv:1401.7993.
16. Horowitz G.T., Santos J.E., Tong D. Optical conductivity with holographic lattices. JHEP 2012, 07:168. arxiv:1204.0519.
17. Liu Y., Schalm K., Sun Y.-W., Zaanen J. Lattice potentials and fermions in holographic non-Fermi liquids: hybridizing local quantum criticality. JHEP 2012, 10:136. arxiv:1205.5227.
18. Horowitz G.T., Santos J.E., Tong D. Further evidence for lattice-induced scaling. JHEP 2012, 11:102. arxiv:1209.1098.
19. Horowitz G.T., Santos J.E. General relativity and the cuprates. JHEP 2013, 06:087. arxiv:1302.6586.
20. Chesler P., Lucas A., Sachdev S. Conformal field theories in a periodic potential: results from holography and field theory. Phys. Rev. D 2014, 89:026005. arxiv:1308.0329.
21. Ling Y., Niu C., Wu J.-P., Xian Z.-Y. Holographic lattice in Einstein-Maxwell-dilaton gravity. JHEP 2013, 11:006. arxiv:1309.4580.
22. Donos A., Gauntlett J.P. The thermoelectric properties of inhomogeneous holographic lattices arxiv:1409.6875.
23. Vegh D. Holography without translational symmetry arxiv:1301.0537.
24. Davison R.A. Momentum relaxation in holographic massive gravity. Phys. Rev. D 2013, 88:086003. arxiv:1306.5792.
25. Blake M., Tong D. Universal resistivity from holographic massive gravity. Phys. Rev. D 2013, 88:106004. arxiv:1308.4970.
26. Davison R.A., Schalm K., Zaanen J. Holographic duality and the resistivity of strange metals. Phys. Rev. B 2014, 89:245116. arxiv:1311.2451.
27. Donos A., Gauntlett J.P. Holographic Q-lattices. JHEP 2014, 04:040. arxiv:1311.3292.
28. Andrade T., Withers B. A simple holographic model of momentum relaxation. JHEP 2014, 05:101. arxiv:1311.5157.
29. Donos A., Gauntlett J.P. Novel metals and insulators from holography. JHEP 2014, 06:007. arxiv:1401.5077.
30. Goutéraux B. Charge transport in holography with momentum dissipation. JHEP 2014, 04:181. arxiv:1401.5436.
31. Mahajan R., Barkeshli M., Hartnoll S.A. Non-Fermi liquids and the Wiedemann-Franz law. Phys. Rev. B 2013, 88:125107. arxiv:1304.4249.
32. Hartnoll S.A., Mahajan R., Punk M., Sachdev S. Transport near the Ising-nematic quantum critical point of metals in two dimensions. Phys. Rev. B 2014, 89:155130. arxiv:1401.7012.
33. Patel A.A., Sachdev S. DC resistivity at the onset of spin density wave order in two dimensional metals. Phys. Rev. B 2014, 90:165146. arxiv:1408.6549.
34. Sachdev S., Chubukov A.V., Sokol A. Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions. Phys. Rev. B 1995, 51:14874. arxiv:cond-mat/9411066.
35. Sachdev S., Georges A. Charge and spin density wave ordering transitions in strongly correlated metals. Phys. Rev. B 1995, 52:9520. arxiv:cond-mat/9503158.
36. Fitzpatrick A.L., Kachru S., Kaplan J., Raghu S. Non-Fermi liquid fixed point in a Wilsonian theory of quantum critical metals. Phys. Rev. B 2013, 88:125116. arxiv:1307.0004.
37. B quantum critical metals. Phys. Rev. B 2014, 89:165114. arxiv:1312.3321.
38. Allais A., Sachdev S. Spectral function of a localized fermion coupled to the Wilson-Fisher conformal field theory. Phys. Rev. B 2014, 90:035131. arxiv:1406.3022.
39. Hartnoll S.A. Lectures on holographic methods for condensed matter physics. Class. Quantum Gravity 2009, 26:224002. arxiv:0903.3246.
40. McGreevy J. Holographic duality with a view towards many-body physics. Adv. High Energy Phys. 2010, 723105. arxiv:0909.0518.
41. Sachdev S. What can gauge-gravity duality teach us about condensed matter physics?. Annu. Rev. Condens. Matter Phys. 2012, 3(9). arxiv:1108.1197.
42. Dong X., Harrison S., Kachru S., Torroba G., Wang H. Aspects of holography for theories with hyperscaling violation. JHEP 2012, 06:041. arxiv:1201.1905.
43. Shaghoulian E. Holographic entanglement entropy and Fermi surfaces. JHEP 2012, 05:065. arxiv:1112.2702.
44. González P.A., Papantonopoulos E., Saavedra J., Vásquez Y. Four-dimensional asymptotically AdS black holes with scalar hair. JHEP 2013, 12:021. arxiv:1309.2161.
45. 5. Phys. Rev. D 2010, 81:046001. arxiv:0911.2898.
46. Goutéraux B., Kiritsis E. Generalized holographic quantum criticality at finite density. JHEP 2011, 12:036. arxiv:1107.2116.
47. Cvetic M., Duff M.J., Hoxha P., Liu J.T., Lu H., Lu J.X., Martinez-Acosta R., Pope C.N., Sati H., Tran T.A. Embedding AdS black holes in ten and eleven dimensions. Nucl. Phys. B 1999, 558:96. arxiv:hep-th/9903214.
48. Iizuka N., Kachru S., Kundu N., Narayan P., Sircar N., Trivedi S.P. Bianchi attractors: a classification of extremal black brane geometries. JHEP 2012, 07:193. arxiv:1201.4861.
49. Kachru S., Kundu N., Saha A., Samanta R., Trivedi S.P. Interpolating from Bianchi attractors to Lifshitz and AdS spacetimes. JHEP 2014, 03:074. arxiv:1310.5740.
50. Donos A., Hartnoll S.A. Interaction-driven localization in holography. Nat. Phys. 2013, 9(649). arxiv:1212.2998.
51. Donos A., Goutéraux B., Kiritsis E. Holographic metals and insulators with helical symmetry. JHEP 2014, 09:038. arxiv:1406.6351.
52. Amoretti A., Braggio A., Maggiore N., Magnoli N., Musso D. Thermo-electric transport in gauge/gravity models with momentum dissipation. JHEP 2014, 09:160. arxiv:1406.4134.
53. Donos A., Gauntlett J.P. Thermoelectric DC conductivities from black hole horizons arxiv:1406.4742.
54. Amoretti A., Braggio A., Maggiore N., Magnoli N., Musso D. Analytic DC thermo-electric conductivities in holography with massive gravitons arxiv:1407.0306.
55. Blake M., Donos A. Quantum critical transport and the Hall angle arxiv:1406.1659.
56. Blake M., Tong D., Vegh D. Holographic lattices give the graviton an effective mass. Phys. Rev. Lett. 2014, 112:071602. arxiv:1310.3832.
57. Hartnoll S.A., Shaghoulian E. Spectral weight in holographic scaling geometries. JHEP 2012, 07:078. arxiv:1203.4236.
58. Bhattacharya J., Cremonini S., Goutéraux B. Intermediate scalings in holographic RG flows and conductivities arxiv:1409.4797.
59. Lee P.A., Stone A.D. Universal conductance fluctuations in metals. Phys. Rev. Lett. 1985, 55:1622.
60. Altshuler B.L. Fluctuations in the extrinsic conductivity of disordered conductors. JETP Lett. 1985, 41:530.
61. Altshuler B.L., Khmelnitskii D.E. Fluctuation properties of small conductors. JETP Lett. 1986, 42:359.
62. Imry Y. Active transmission channels and universal conductance fluctuations. Europhys. Lett. 1986, 1:249.
63. Lee P.A., Stone A.D., Fukuyama H. Universal conductance fluctuations in metals: effects of finite temperature, interactions and magnetic field. Phys. Rev. B 1987, 35:1039.
64. Metlitski M.A., Mross D.F., Sachdev S., Senthil T. Are non-Fermi-liquids stable to Cooper pairing? arxiv:1403.3694.
65. Gubser S.S. Breaking an Abelian gauge symmetry near a black hole horizon. Phys. Rev. D 2008, 78:065034. arxiv:0801.2977.
66. Hartnoll S.A., Herzog C.P., Horowitz G.T. Building an AdS/CFT superconductor. Phys. Rev. Lett. 2008, 101:031601. arxiv:0803.3295.
67. Hartnoll S.A., Herzog C.P., Horowitz G.T. Holographic superconductors. JHEP 2008, 12:015. arxiv:0810.1563.
68. Herzog C.P. Lectures on holographic superfluidity and superconductivity. J. Phys. A 2009, 42:343001. arxiv:0904.1975.
69. Salvio A. Transitions in dilaton holography with global or local symmetries. JHEP 2013, 03(136). arxiv:1302.4898.
70. Fan Z. Holographic superconductors with hyperscaling violation. JHEP 2013, 09:048. arxiv:1305.2000.
71. Ling Y., Liu P., Niu C., Wu J.-P., Xian Z.-Y. Holographic superconductor on Q-lattice arxiv:1410.6761.
72. Hartnoll S.A., Santos J.E. Disordered horizons: holography of randomly disordered fixed points. Phys. Rev. Lett. 2014, 112:231601. arxiv:1402.0872.
73. Metlitski M.A., Sachdev S. Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order. Phys. Rev. B 2010, 82:075127. arxiv:1001.1153.
74. de Haro S., Solodukhin S.N., Skenderis K. Holographic reconstruction of space-time and renormalization in the AdS/CFT correspondence. Commun. Math. Phys. 2001, 217:595. arxiv:hep-th/0002230.
75. Gubser S.S., Pufu S.S., Rocha F.D. Quantum critical superconductors in string theory and M-theory. Phys. Lett. B 2010, 683:201. arxiv:0908.0011.
76. Gubser S.S., Nellore A. Ground states of holographic superconductors. Phys. Rev. D 2009, 80:105007. arxiv:0908.1972.
77. 2. Phys. Rev. D 2011, 83:125002. arxiv:0907.2694.