Abstract
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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
N. Jokela, G. Lifschytz and M. Lippert, Holographic anyonic superfluidity, JHEP 10 (2013) 014 [arXiv:1307.6336] [INSPIRE].
D.K. Brattan and G. Lifschytz, Holographic plasma and anyonic fluids, JHEP 02 (2014) 090 [arXiv:1310.2610] [INSPIRE].
N. Jokela, G. Lifschytz and M. Lippert, Flowing holographic anyonic superfluid, JHEP 10 (2014) 21 [arXiv:1407.3794] [INSPIRE].
F. Wilczek, Quantum Mechanics of Fractional-Spin Particles, Phys. Rev. Lett. 49 (1982) 957.
D.P. Arovas, J.R. Schrieffer, F. Wilczek and A. Zee, Statistical Mechanics of Anyons, Nucl. Phys. B 251 (1985) 117 [INSPIRE].
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].
E. Witten, SL(2, ℤ) action on three-dimensional conformal field theories with Abelian symmetry, hep-th/0307041 [INSPIRE].
R.G. Leigh and A.C. Petkou, SL(2, ℤ) action on three-dimensional CFTs and holography, JHEP 12 (2003) 020 [hep-th/0309177] [INSPIRE].
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].
M. Goykhman, A. Parnachev and J. Zaanen, Fluctuations in finite density holographic quantum liquids, JHEP 10 (2012) 045 [arXiv:1204.6232] [INSPIRE].
D.K. Brattan, R.A. Davison, S.A. Gentle and A. O’Bannon, Collective Excitations of Holographic Quantum Liquids in a Magnetic Field, JHEP 11 (2012) 084 [arXiv:1209.0009] [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
C. Kristjansen and G.W. Semenoff, Giant D5 Brane Holographic Hall State, JHEP 06 (2013) 048 [arXiv:1212.5609] [INSPIRE].
C. Kristjansen, R. Pourhasan and G.W. Semenoff, A Holographic Quantum Hall Ferromagnet, JHEP 02 (2014) 097 [arXiv:1311.6999] [INSPIRE].
A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [INSPIRE].
D. Marolf and S.F. Ross, Boundary Conditions and New Dualities: Vector Fields in AdS/CFT, JHEP 11 (2006) 085 [hep-th/0606113] [INSPIRE].
M. Kaminski, K. Landsteiner, J. Mas, J.P. Shock and J. Tarrio, Holographic Operator Mixing and Quasinormal Modes on the Brane, JHEP 02 (2010) 021 [arXiv:0911.3610] [INSPIRE].
D.T. Son and A.O. Starinets, Minkowski space correlators in AdS/CFT correspondence: Recipe and applications, JHEP 09 (2002) 042 [hep-th/0205051] [INSPIRE].
G. Policastro, D.T. Son and A.O. Starinets, From AdS/CFT correspondence to hydrodynamics, JHEP 09 (2002) 043 [hep-th/0205052] [INSPIRE].
K. Skenderis and B.C. van Rees, Real-time gauge/gravity duality, Phys. Rev. Lett. 101 (2008) 081601 [arXiv:0805.0150] [INSPIRE].
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].
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [INSPIRE].
A. Gorsky and A.V. Zayakin, Anomalous Zero Sound, JHEP 02 (2013) 124 [arXiv:1206.4725] [INSPIRE].
M.C. Wapler, Holographic Experiments on Defects, Int. J. Mod. Phys. A 25 (2010) 4397 [arXiv:0909.1698] [INSPIRE].
S.S. Pal, Approximate strange metallic behavior in AdS, arXiv:1202.3555 [INSPIRE].
N. Evans, A. Gebauer, K.-Y. Kim and M. Magou, Holographic Description of the Phase Diagram of a Chiral Symmetry Breaking Gauge Theory, JHEP 03 (2010) 132 [arXiv:1002.1885] [INSPIRE].
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].
S.S. Pal, Quantum phase transition in a Dp-Dq system, Phys. Rev. D 82 (2010) 086013 [arXiv:1006.2444] [INSPIRE].
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].
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].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1412.1489
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Brattan, D.K. A strongly coupled anyon material. J. High Energ. Phys. 2015, 214 (2015). https://doi.org/10.1007/JHEP11(2015)214
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2015)214