Abstract
It is often said that interactions destroy the particle nature of excitations. We report that, in holographic theory adding interaction term can create a new quasi particle spectrum, on the contrary. We show this by calculating the optical conductivity in a model with exact background solution and finding a new quasi-particle spectrum. Such new poles are consequence of some non-minimal interaction like Chern-Simon term. We also point out that the origin of the new peak in our example is the vortex formation by the anomalous magnetic moment induced by the interaction term.
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N. Iqbal and H. Liu, Real-time response in AdS/CFT with application to spinors, Fortsch. Phys. 57 (2009) 367 [arXiv:0903.2596] [INSPIRE].
M. Edalati, R.G. Leigh and P.W. Phillips, Dynamically generated Mott gap from holography, Phys. Rev. Lett. 106 (2011) 091602 [arXiv:1010.3238] [INSPIRE].
Y. Seo, G. Song, Y.-H. Qi and S.-J. Sin, Mott transition with holographic spectral function, JHEP 08 (2018) 077 [arXiv:1803.01864] [INSPIRE].
Y. Seo, K.-Y. Kim, K.K. Kim and S.-J. Sin, Character of matter in holography: spin–orbit interaction, Phys. Lett. B 759 (2016) 104 [arXiv:1512.08916] [INSPIRE].
Y. Seo, G. Song, C. Park and S.-J. Sin, Small Fermi surfaces and strong correlation effects in Dirac materials with holography, JHEP 10 (2017) 204 [arXiv:1708.02257] [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].
A. Donos and J.P. Gauntlett, Holographic charge density waves, Phys. Rev. D 87 (2013) 126008 [arXiv:1303.4398] [INSPIRE].
J. Erdmenger, X.-H. Ge and D.-W. Pang, Striped phases in the holographic insulator/superconductor transition, JHEP 11 (2013) 027 [arXiv:1307.4609] [INSPIRE].
N. Jokela, M. Jarvinen and M. Lippert, Gravity dual of spin and charge density waves, JHEP 12 (2014) 083 [arXiv:1408.1397] [INSPIRE].
Y. Ling, C. Niu, J. Wu, Z. Xian and H.-b. Zhang, Metal-insulator transition by holographic charge density waves, Phys. Rev. Lett. 113 (2014) 091602 [arXiv:1404.0777] [INSPIRE].
A. Donos, B. Goutéraux and E. Kiritsis, Holographic metals and insulators with helical symmetry, JHEP 09 (2014) 038 [arXiv:1406.6351] [INSPIRE].
R.G. Cai, L. Li, Y.Q. Wang and J. Zaanen, Intertwined order and holography: the case of parity breaking pair density waves, Phys. Rev. Lett. 119 (2017) 181601.
A. Donos and J.P. Gauntlett, Holographic striped phases, JHEP 08 (2011) 140 [arXiv:1106.2004] [INSPIRE].
A. Donos and S.A. Hartnoll, Interaction-driven localization in holography, Nature Phys. 9 (2013) 649 [arXiv:1212.2998] [INSPIRE].
A. Donos, Striped phases from holography, JHEP 05 (2013) 059 [arXiv:1303.7211] [INSPIRE].
B. Withers, Holographic checkerboards, JHEP 09 (2014) 102 [arXiv:1407.1085] [INSPIRE].
R.-G. Cai, L. Li, Y.-Q. Wang and J. Zaanen, Intertwined order and holography: the case of parity breaking pair density waves, Phys. Rev. Lett. 119 (2017) 181601 [arXiv:1706.01470] [INSPIRE].
T. Andrade, A. Krikun, K. Schalm and J. Zaanen, Doping the holographic Mott insulator, Nature Phys. 14 (2018) 1049 [arXiv:1710.05791] [INSPIRE].
N. Jokela, M. Jarvinen and M. Lippert, Pinning of holographic sliding stripes, Phys. Rev. D 96 (2017) 106017 [arXiv:1708.07837] [INSPIRE].
T. Andrade, M. Baggioli, A. Krikun and N. Poovuttikul, Pinning of longitudinal phonons in holographic spontaneous helices, JHEP 02 (2018) 085 [arXiv:1708.08306] [INSPIRE].
A. Donos, D. Martin, C. Pantelidou and V. Ziogas, Incoherent hydrodynamics and density waves, arXiv:1906.03132 [INSPIRE].
L.V. Delacrétaz, B. Goutéraux, S.A. Hartnoll and A. Karlsson, Bad metals from fluctuating density waves, SciPost Phys. 3 (2017) 025.
H. Fukuyama and P.A. Lee, Dynamics of the charge-density wave. I. Impurity pinning in a single chain, Phys. Rev. B 17 (1978) 535.
G. Grüner et al., Frequency-dependent conductivity in nbse3 , Phys. Rev. Lett. 45 (1980) 935.
H. Fukuyama, Pinning and conductivity of two-dimensional charge-density waves in magnetic fields, Phys. Rev. B 18 (1978) 6245.
K.-Y. Kim, K.K. Kim, Y. Seo and S.-J. Sin, Coherent/incoherent metal transition in a holographic model, JHEP 12 (2014) 170 [arXiv:1409.8346] [INSPIRE].
T. Andrade and B. Withers, A simple holographic model of momentum relaxation, JHEP 05 (2014) 101 [arXiv:1311.5157] [INSPIRE].
M. Baggioli and O. Pujolàs, Electron-phonon interactions, metal-insulator transitions and holographic massive gravity, Phys. Rev. Lett. 114 (2015) 251602 [arXiv:1411.1003] [INSPIRE].
L. Alberte et al., Black hole elasticity and gapped transverse phonons in holography, JHEP 01 (2018) 129 [arXiv:1708.08477] [INSPIRE].
M. Ammon, M. Baggioli and A. Jiménez-Alba, A unified description of translational symmetry breaking in holography, JHEP 09 (2019) 124 [arXiv:1904.05785] [INSPIRE].
W.J. Li and J.P. Wu, A simple holographic model for spontaneous breaking of translational symmetry, Eur. Phys. J. C 79 (2019) 243 [arXiv:1808.03142].
A. Amoretti, D. Areán, B. Goutéraux and D. Musso, Universal relaxation in a holographic metallic density wave phase, arXiv:1812.08118 [INSPIRE].
A. Donos and C. Pantelidou, Holographic transport and density waves, JHEP 05 (2019) 079.
S.A. Hartnoll and C.P. Herzog, Ohm’s law at strong coupling: S duality and the cyclotron resonance, Phys. Rev. D 76 (2007) 106012 [arXiv:0706.3228] [INSPIRE].
K.-Y. Kim, K.K. Kim, Y. Seo and S.-J. Sin, Thermoelectric conductivities at finite magnetic field and the Nernst effect, JHEP 07 (2015) 027 [arXiv:1502.05386] [INSPIRE].
S.A. Hartnoll, P.K. Kovtun, M. Muller and S. Sachdev, Theory of the Nernst effect near quantum phase transitions in condensed matter and in dyonic black holes, Phys. Rev. B 76 (2007) 144502 [arXiv:0706.3215] [INSPIRE].
R.C. Myers, S. Sachdev and A. Singh, Holographic quantum critical transport without self-duality, Phys. Rev. D 83 (2011) 066017 [arXiv:1010.0443] [INSPIRE].
A. Hamilton, D.N. Kabat, G. Lifschytz and D.A. Lowe, Holographic representation of local bulk operators, Phys. Rev. D 74 (2006) 066009 [hep-th/0606141] [INSPIRE].
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ArXiv ePrint: 1907.06188
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Song, G., Seo, Y., Kim, KY. et al. Interaction induced quasi-particle spectrum in holography. J. High Energ. Phys. 2019, 103 (2019). https://doi.org/10.1007/JHEP11(2019)103
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DOI: https://doi.org/10.1007/JHEP11(2019)103