A strongly coupled anyon material. (English) Zbl 1388.83189
Summary: We use alternative quantisation of the D3-D5 system to explore properties of a strongly coupled anyon material at finite density and temperature. We study the transport properties of the material and find both diffusion and massive holographic zero sound modes. By studying the anyon number conductivity we also find evidence for the anyonic analogue of the metal-insulator transition.
MSC:
| 83C47 | Methods of quantum field theory in general relativity and gravitational theory |
| 81V35 | Nuclear physics |
Keywords:
gauge-gravity correspondence; AdS-CFT correspondence; holography and condensed matter physics (AdS/CMT); anyonsReferences:
| [1] | N. Jokela, G. Lifschytz and M. Lippert, Holographic anyonic superfluidity, JHEP10 (2013) 014 [arXiv:1307.6336] [INSPIRE]. · doi:10.1007/JHEP10(2013)014 |
| [2] | D.K. Brattan and G. Lifschytz, Holographic plasma and anyonic fluids, JHEP02 (2014) 090 [arXiv:1310.2610] [INSPIRE]. · doi:10.1007/JHEP02(2014)090 |
| [3] | N. Jokela, G. Lifschytz and M. Lippert, Flowing holographic anyonic superfluid, JHEP10 (2014) 21 [arXiv:1407.3794] [INSPIRE]. |
| [4] | F. Wilczek, Quantum Mechanics of Fractional-Spin Particles, Phys. Rev. Lett.49 (1982) 957. · doi:10.1103/PhysRevLett.49.957 |
| [5] | D.P. Arovas, J.R. Schrieffer, F. Wilczek and A. Zee, Statistical Mechanics of Anyons, Nucl. Phys.B 251 (1985) 117 [INSPIRE]. · doi:10.1016/0550-3213(85)90252-4 |
| [6] | G.V. Dunne, Aspects of Chern-Simons theory, in Proceedings of Les Houches Summer School of Theoretical Physics, Session 69: Topological Aspects of Low-dimensional Systems, Les Houches France (1998) [hep-th/9902115] [INSPIRE]. |
| [7] | E. Witten, SL(2, ℤ) action on three-dimensional conformal field theories with Abelian symmetry, hep-th/0307041 [INSPIRE]. |
| [8] | R.G. Leigh and A.C. Petkou, SL(2, ℤ) action on three-dimensional CFTs and holography, JHEP12 (2003) 020 [hep-th/0309177] [INSPIRE]. · doi:10.1088/1126-6708/2003/12/020 |
| [9] | C.P. Herzog, P. Kovtun, S. Sachdev and D.T. Son, Quantum critical transport, duality and M-theory, Phys. Rev.D 75 (2007) 085020 [hep-th/0701036] [INSPIRE]. |
| [10] | M. Goykhman, A. Parnachev and J. Zaanen, Fluctuations in finite density holographic quantum liquids, JHEP10 (2012) 045 [arXiv:1204.6232] [INSPIRE]. · doi:10.1007/JHEP10(2012)045 |
| [11] | D.K. Brattan, R.A. Davison, S.A. Gentle and A. O’Bannon, Collective Excitations of Holographic Quantum Liquids in a Magnetic Field, JHEP11 (2012) 084 [arXiv:1209.0009] [INSPIRE]. · doi:10.1007/JHEP11(2012)084 |
| [12] | R.C. Myers, Dielectric branes, JHEP12 (1999) 022 [hep-th/9910053] [INSPIRE]. · Zbl 0958.81091 · doi:10.1088/1126-6708/1999/12/022 |
| [13] | C. Kristjansen and G.W. Semenoff, Giant D5 Brane Holographic Hall State, JHEP06 (2013) 048 [arXiv:1212.5609] [INSPIRE]. · Zbl 1342.81755 · doi:10.1007/JHEP06(2013)048 |
| [14] | C. Kristjansen, R. Pourhasan and G.W. Semenoff, A Holographic Quantum Hall Ferromagnet, JHEP02 (2014) 097 [arXiv:1311.6999] [INSPIRE]. · doi:10.1007/JHEP02(2014)097 |
| [15] | A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP06 (2002) 043 [hep-th/0205236] [INSPIRE]. · Zbl 1035.81548 · doi:10.1088/1126-6708/2002/06/043 |
| [16] | D. Marolf and S.F. Ross, Boundary Conditions and New Dualities: Vector Fields in AdS/CFT, JHEP11 (2006) 085 [hep-th/0606113] [INSPIRE]. · doi:10.1088/1126-6708/2006/11/085 |
| [17] | M. Kaminski, K. Landsteiner, J. Mas, J.P. Shock and J. Tarrio, Holographic Operator Mixing and Quasinormal Modes on the Brane, JHEP02 (2010) 021 [arXiv:0911.3610] [INSPIRE]. · Zbl 1270.81178 · doi:10.1007/JHEP02(2010)021 |
| [18] | D.T. Son and A.O. Starinets, Minkowski space correlators in AdS/CFT correspondence: Recipe and applications, JHEP09 (2002) 042 [hep-th/0205051] [INSPIRE]. · doi:10.1088/1126-6708/2002/09/042 |
| [19] | G. Policastro, D.T. Son and A.O. Starinets, From AdS/CFT correspondence to hydrodynamics, JHEP09 (2002) 043 [hep-th/0205052] [INSPIRE]. · doi:10.1088/1126-6708/2002/09/043 |
| [20] | K. Skenderis and B.C. van Rees, Real-time gauge/gravity duality, Phys. Rev. Lett.101 (2008) 081601 [arXiv:0805.0150] [INSPIRE]. · Zbl 1228.81244 · doi:10.1103/PhysRevLett.101.081601 |
| [21] | B.C. van Rees, Real-time gauge/gravity duality and ingoing boundary conditions, Nucl. Phys. Proc. Suppl.192-193 (2009) 193 [arXiv:0902.4010] [INSPIRE]. · doi:10.1016/j.nuclphysbps.2009.07.078 |
| [22] | S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav.26 (2009) 224002 [arXiv:0903.3246] [INSPIRE]. · Zbl 1181.83003 · doi:10.1088/0264-9381/26/22/224002 |
| [23] | A. Gorsky and A.V. Zayakin, Anomalous Zero Sound, JHEP02 (2013) 124 [arXiv:1206.4725] [INSPIRE]. · Zbl 1342.83243 · doi:10.1007/JHEP02(2013)124 |
| [24] | M.C. Wapler, Holographic Experiments on Defects, Int. J. Mod. Phys.A 25 (2010) 4397 [arXiv:0909.1698] [INSPIRE]. · Zbl 1202.81185 · doi:10.1142/S0217751X10050299 |
| [25] | S.S. Pal, Approximate strange metallic behavior in AdS, arXiv:1202.3555 [INSPIRE]. |
| [26] | N. Evans, A. Gebauer, K.-Y. Kim and M. Magou, Holographic Description of the Phase Diagram of a Chiral Symmetry Breaking Gauge Theory, JHEP03 (2010) 132 [arXiv:1002.1885] [INSPIRE]. · Zbl 1271.81174 · doi:10.1007/JHEP03(2010)132 |
| [27] | 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] [INSPIRE]. · doi:10.1016/j.physletb.2011.03.004 |
| [28] | S.S. Pal, Quantum phase transition in a Dp-Dq system, Phys. Rev.D 82 (2010) 086013 [arXiv:1006.2444] [INSPIRE]. |
| [29] | 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] [INSPIRE]. · doi:10.1103/PhysRevLett.105.041601 |
| [30] | N. Evans, K. Jensen and K.-Y. Kim, Non Mean-Field Quantum Critical Points from Holography, Phys. Rev.D 82 (2010) 105012 [arXiv:1008.1889] [INSPIRE]. |
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