Abstract
We consider a holographic description of a system of strongly-coupled fermions in 2 + 1 dimensions based on a D7-brane probe in the background of D3-branes. The black hole embedding represents a Fermi-like liquid. We study the excitations of the Fermi liquid system. Above a critical density which depends on the temperature, the system becomes unstable towards an inhomogeneous modulated phase which is similar to a charge density and spin wave state. The essence of this instability can be effectively described by a Maxwell-axion theory with a background electric field. We also consider the fate of zero sound at non-zero temperature.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [SPIRES].
H. Liu, J. McGreevy and D. Vegh, Non-Fermi liquids from holography, Phys. Rev. D 83 (2011) 065029 [arXiv:0903.2477] [SPIRES].
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].
E. D’Hoker and P. Kraus, Holographic metamagnetism, quantum criticality and crossover behavior, JHEP 05 (2010) 083 [arXiv:1003.1302] [SPIRES].
G. Lifschytz and M. Lippert, Holographic magnetic phase transition, Phys. Rev. D 80 (2009) 066007 [arXiv:0906.3892] [SPIRES].
E. Keski-Vakkuri and P. Kraus, Quantum Hall effect in AdS/CFT, JHEP 09 (2008) 130 [arXiv:0805.4643] [SPIRES].
J.L. Davis, P. Kraus and A. Shah, Gravity dual of a quantum Hall plateau transition, JHEP 11 (2008) 020 [arXiv:0809.1876] [SPIRES].
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].
Y. Hikida, W. Li and T. Takayanagi, ABJM with flavors and FQHE, JHEP 07 (2009) 065 [arXiv:0903.2194] [SPIRES].
J. Alanen, E. Keski-Vakkuri, P. Kraus and V. Suur-Uski, AC transport at holographic quantum Hall transitions, JHEP 11 (2009) 014 [arXiv:0905.4538] [SPIRES].
O. Bergman, N. Jokela, G. Lifschytz and M. Lippert, Quantum Hall effect in a holographic model, JHEP 10 (2010) 063 [arXiv:1003.4965] [SPIRES].
N. Jokela, G. Lifschytz and M. Lippert, Magneto-roton excitation in a holographic quantum Hall fluid, JHEP 02 (2011) 104 [arXiv:1012.1230] [SPIRES].
N. Jokela, M.Järvinen and M. Lippert, A holographic quantum Hall model at integer filling, JHEP 05 (2011) 101 [arXiv:1101.3329] [SPIRES].
S.-J. Rey, String theory on thin semiconductors: holographic realization of Fermi points and surfaces, Prog. Theor. Phys. Suppl. 177 (2009) 128 [arXiv:0911.5295] [SPIRES].
G. Gruner, The dynamics of spin-density waves, Rev. Mod. Phys. 66 (1994) 1 [SPIRES].
G. Gruner, The dynamics of charge-density waves, Rev. Mod. Phys. 60 (1988) 1129 [SPIRES].
S. Nakamura, H. Ooguri and C.-S. Park, Gravity dual of spatially modulated phase, Phys. Rev. D 81 (2010) 044018 [arXiv:0911.0679] [SPIRES].
H. Ooguri and C.-S. Park, Spatially modulated phase in holographic quark-gluon plasma, Phys. Rev. Lett. 106 (2011) 061601 [arXiv:1011.4144] [SPIRES].
H. Ooguri and C.-S. Park, Holographic end-point of spatially modulated phase transition, Phys. Rev. D 82 (2010) 126001 [arXiv:1007.3737] [SPIRES].
C.A.B. Bayona, K. Peeters and M. Zamaklar, A non-homogeneous ground state of the low-temperature Sakai-Sugimoto model, JHEP 06 (2011) 092 [arXiv:1104.2291] [SPIRES].
A. Donos and J.P. Gauntlett, Holographic striped phases, JHEP 08 (2011) 140 [arXiv:1106.2004] [SPIRES].
A. Karch, M. Kulaxizi and A. Parnachev, Notes on properties of holographic matter, JHEP 11 (2009) 017 [arXiv:0908.3493] [SPIRES].
A. Karch, D.T. Son and A.O. Starinets, Zero sound from holography, arXiv:0806.3796 [SPIRES].
I. Amado, M. Kaminski and K. Landsteiner, Hydrodynamics of holographic superconductors, JHEP 05 (2009) 021 [arXiv:0903.2209] [SPIRES].
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] [SPIRES].
M. Kulaxizi and A. Parnachev, Comments on Fermi liquid from holography, Phys. Rev. D 78 (2008) 086004 [arXiv:0808.3953] [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1106.3883
Rights and permissions
About this article
Cite this article
Bergman, O., Jokela, N., Lifschytz, G. et al. Striped instability of a holographic Fermi-like liquid. J. High Energ. Phys. 2011, 34 (2011). https://doi.org/10.1007/JHEP10(2011)034
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2011)034