Abstract
We have considered D2-D8 model and obtain a numerical solution that exhibits spatially modulated phases corresponding to a charge density wave and a spin density wave. We have analysed behavior of the free energy density for different values of the chemical potential and the magnetic field.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
G. Grüner, The dynamics of charge density wave, Rev. Mod. Phys. 60 (1980) 1129 [INSPIRE].
G. Grüner, The dynamics of spin-density waves, Rev. Mod. Phys. 66 (1994) 1 [INSPIRE].
R. Peierls, Quantum Theory of Solids, Oxford University Press, Oxford U.K. (1955).
M. Vojta, Lattice symmetry breaking in cuprate superconductors: Stripes, nematics and superconductivity, Adv. Phys. 58 (2009) 699 [arXiv:0901.3145].
J.M. Maldacena, The Large N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [Adv. Theor. Math. Phys. 2 (1998) 231] [hep-th/9711200] [INSPIRE].
S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [INSPIRE].
E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].
S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26 (2009) 224002 [arXiv:0903.3246] [INSPIRE].
S. Nakamura, H. Ooguri and C.-S. Park, Gravity Dual of Spatially Modulated Phase, Phys. Rev. D 81 (2010) 044018 [arXiv:0911.0679] [INSPIRE].
H. Ooguri and C.-S. Park, Holographic End-Point of Spatially Modulated Phase Transition, Phys. Rev. D 82 (2010) 126001 [arXiv:1007.3737] [INSPIRE].
A. Donos and J.P. Gauntlett, Holographic striped phases, JHEP 08 (2011) 140 [arXiv:1106.2004] [INSPIRE].
A. Donos and J.P. Gauntlett, Holographic helical superconductors, JHEP 12 (2011) 091 [arXiv:1109.3866] [INSPIRE].
A. Donos and J.P. Gauntlett, Black holes dual to helical current phases, Phys. Rev. D 86 (2012) 064010 [arXiv:1204.1734] [INSPIRE].
A. Donos, Striped phases from holography, JHEP 05 (2013) 059 [arXiv:1303.7211] [INSPIRE].
A. Donos, J.P. Gauntlett and C. Pantelidou, Spatially modulated instabilities of magnetic black branes, JHEP 01 (2012) 061 [arXiv:1109.0471] [INSPIRE].
S. Cremonini and A. Sinkovics, Spatially Modulated Instabilities of Geometries with Hyperscaling Violation, JHEP 01 (2014) 099 [arXiv:1212.4172] [INSPIRE].
S. Cremonini, Spatially Modulated Instabilities for Scaling Solutions at Finite Charge Density, Phys. Rev. D 95 (2017) 026007 [arXiv:1310.3279] [INSPIRE].
S. Cremonini, L. Li and J. Ren, Holographic Pair and Charge Density Waves, Phys. Rev. D 95 (2017) 041901 [arXiv:1612.04385] [INSPIRE].
S. Cremonini, L. Li and J. Ren, Holographic Fermions in Striped Phases, JHEP 12 (2018) 080 [arXiv:1807.11730] [INSPIRE].
B. Withers, Black branes dual to striped phases, Class. Quant. Grav. 30 (2013) 155025 [arXiv:1304.0129] [INSPIRE].
M. Rozali, D. Smyth, E. Sorkin and J.B. Stang, Striped order in AdS/CFT correspondence, Phys. Rev. D 87 (2013) 126007 [arXiv:1304.3130] [INSPIRE].
B. Withers, Holographic Checkerboards, JHEP 09 (2014) 102 [arXiv:1407.1085] [INSPIRE].
B. Withers, The moduli space of striped black branes, arXiv:1304.2011 [INSPIRE].
A. Amoretti, D. Areán, B. Goutéraux and D. Musso, Effective holographic theory of charge density waves, Phys. Rev. D 97 (2018) 086017 [arXiv:1711.06610] [INSPIRE].
A. Amoretti, D. Areán, B. Goutéraux and D. Musso, DC resistivity of quantum critical, charge density wave states from gauge-gravity duality, Phys. Rev. Lett. 120 (2018) 171603 [arXiv:1712.07994] [INSPIRE].
A. Donos and J.P. Gauntlett, Holographic charge density waves, Phys. Rev. D 87 (2013) 126008 [arXiv:1303.4398] [INSPIRE].
B. Goutéraux and V.L. Martin, Spectral weight and spatially modulated instabilities in holographic superfluids, JHEP 05 (2017) 005 [arXiv:1612.03466] [INSPIRE].
O. Bergman, N. Jokela, G. Lifschytz and M. Lippert, Striped instability of a holographic Fermi-like liquid, JHEP 10 (2011) 034 [arXiv:1106.3883] [INSPIRE].
N. Jokela, M. Jarvinen and M. Lippert, A holographic quantum Hall model at integer filling, JHEP 05 (2011) 101 [arXiv:1101.3329] [INSPIRE].
N. Jokela, M. Jarvinen and M. Lippert, Fluctuations and instabilities of a holographic metal, JHEP 02 (2013) 007 [arXiv:1211.1381] [INSPIRE].
N. Jokela, M. Jarvinen and M. Lippert, Gravity dual of spin and charge density waves, JHEP 12 (2014) 083 [arXiv:1408.1397] [INSPIRE].
N. Jokela, M. Jarvinen and M. Lippert, Holographic sliding stripes, Phys. Rev. D 95 (2017) 086006 [arXiv:1612.07323] [INSPIRE].
N. Jokela, M. Jarvinen and M. Lippert, Pinning of holographic sliding stripes, Phys. Rev. D 96 (2017) 106017 [arXiv:1708.07837] [INSPIRE].
J.P. Boyd, Chebyshev and Fourier spectral methods, 2nd edition, Dover, New York U.S.A. (2001).
A. Chamblin, R. Emparan, C.V. Johnson and R.C. Myers, Holography, thermodynamics and fluctuations of charged AdS black holes, Phys. Rev. D 60 (1999) 104026 [hep-th/9904197] [INSPIRE].
O. Bergman, N. Jokela, G. Lifschytz and M. Lippert, Quantum Hall Effect in a Holographic Model, JHEP 10 (2010) 063 [arXiv:1003.4965] [INSPIRE].
O. DeWolfe, S.S. Gubser and C. Rosen, Fermi Surfaces in Maximal Gauged Supergravity, Phys. Rev. Lett. 108 (2012) 251601 [arXiv:1112.3036] [INSPIRE].
O. DeWolfe, S.S. Gubser and C. Rosen, Fermi surfaces in N = 4 Super-Yang-Mills theory, Phys. Rev. D 86 (2012) 106002 [arXiv:1207.3352] [INSPIRE].
O. DeWolfe, O. Henriksson and C. Rosen, Fermi surface behavior in the ABJM M2-brane theory, Phys. Rev. D 91 (2015) 126017 [arXiv:1410.6986] [INSPIRE].
S. Mukhopadhyay and N. Rai, Holographic Fermi surfaces in the six-dimensional (2, 0) theory, Phys. Rev. D 96 (2017) 026005 [INSPIRE].
C. Cosnier-Horeau and S.S. Gubser, Holographic Fermi surfaces at finite temperature in top-down constructions, Phys. Rev. D 91 (2015) 066002 [arXiv:1411.5384] [INSPIRE].
S. Mukhopadhyay and N. Rai, Holographic Fermi surface at finite temperature in six-dimensional (2, 0) theory, Phys. Rev. D 96 (2017) 066001 [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
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 1909.03458
Rights and permissions
This article is published under an open access license. Please check the 'Copyright Information' section either on this page or in the PDF for details of this license and what re-use is permitted. If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and re-use information, please contact the Rights and Permissions team.
About this article
Cite this article
Rai, N., Mukhopadhyay, S. Holographic charge density wave from D2-D8. J. High Energ. Phys. 2020, 109 (2020). https://doi.org/10.1007/JHEP05(2020)109
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2020)109