Abstract
We construct a bulk geometry with Q-lattice structure, which is implemented by two gauge fields and a coupling between the lattice and the Maxwell field. This gravity dual model can describe a novel insulator which exhibits some key features analogous to Mott insulator. In particular, a hard gap in insulating phase as well as vanishing DC conductivity can be simultaneously achieved. In addition, we discuss the non-Drude behavior of the optical conductivity in low frequency region in insulating phase, which exhibits some novel characteristics different from ordinary Mott insulator.
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References
N.F. Mott, Metal-insulator transitions, Taylor and Francis, London U.K. (1974).
M. Imada, A. Fujimori and Y. Tokura, Metal-insulator transitions, Rev. Mod. Phys. 70 (1998) 1039 [INSPIRE].
V. Dobrosavljevic, Introduction to metal-insulator transitions, arXiv:1112.6166.
D.N. Basov et al., Electrodynamics of correlated electron materials, Rev. Mod. Phys. 83 (2011) 471 [arXiv:1106.2309].
N.F. Mott, The basis of the theory of electron metals, with special reference to the transition metals, Proc. Phys. Soc. London, Ser. A 49 (1937) 72.
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys. 38 (1999) 1113 [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].
A. Donos and S.A. Hartnoll, Interaction-driven localization in holography, Nature Phys. 9 (2013) 649 [arXiv:1212.2998] [INSPIRE].
A. Donos, B. Goutéraux and E. Kiritsis, Holographic metals and insulators with helical symmetry, JHEP 09 (2014) 038 [arXiv:1406.6351] [INSPIRE].
A. Donos and J.P. Gauntlett, Holographic Q-lattices, JHEP 04 (2014) 040 [arXiv:1311.3292] [INSPIRE].
A. Donos and J.P. Gauntlett, Novel metals and insulators from holography, JHEP 06 (2014) 007 [arXiv:1401.5077] [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].
B. Goutéraux, Charge transport in holography with momentum dissipation, JHEP 04 (2014) 181 [arXiv:1401.5436] [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].
E. Kiritsis and J. Ren, On holographic insulators and supersolids, JHEP 09 (2015) 168 [arXiv:1503.03481] [INSPIRE].
Y. Ling, P. Liu, C. Niu and J.-P. Wu, Building a doped Mott system by holography, Phys. Rev. D 92 (2015) 086003 [arXiv:1507.02514] [INSPIRE].
A. Donos, J.P. Gauntlett and C. Pantelidou, Semi-local quantum criticality in string/M-theory, JHEP 03 (2013) 103 [arXiv:1212.1462] [INSPIRE].
A. Donos and J.P. Gauntlett, Holographic charge density waves, Phys. Rev. D 87 (2013) 126008 [arXiv:1303.4398] [INSPIRE].
M. Cvetič et al., Embedding AdS black holes in ten-dimensions and eleven-dimensions, Nucl. Phys. B 558 (1999) 96 [hep-th/9903214] [INSPIRE].
C. Charmousis, B. Gouteraux, B.S. Kim, E. Kiritsis and R. Meyer, Effective holographic theories for low-temperature condensed matter systems, JHEP 11 (2010) 151 [arXiv:1005.4690] [INSPIRE].
B. Gouteraux and E. Kiritsis, Generalized holographic quantum criticality at finite density, JHEP 12 (2011) 036 [arXiv:1107.2116] [INSPIRE].
B. Gouteraux and E. Kiritsis, Quantum critical lines in holographic phases with (un)broken symmetry, JHEP 04 (2013) 053 [arXiv:1212.2625] [INSPIRE].
E. Mefford and G.T. Horowitz, Simple holographic insulator, Phys. Rev. D 90 (2014) 084042 [arXiv:1406.4188] [INSPIRE].
Y. Ling, P. Liu, C. Niu, J.-P. Wu and Z.-Y. Xian, Holographic entanglement entropy close to quantum phase transitions, arXiv:1502.03661 [INSPIRE].
N. Iqbal and H. Liu, Universality of the hydrodynamic limit in AdS/CFT and the membrane paradigm, Phys. Rev. D 79 (2009) 025023 [arXiv:0809.3808] [INSPIRE].
A. Donos and J.P. Gauntlett, Superfluid black branes in AdS 4 × S 7, JHEP 06 (2011) 053 [arXiv:1104.4478] [INSPIRE].
S. Fujimoto and N. Kawakami, Exact Drude weight for the one-dimensional Hubbard model at finite temperatures, J. Phys. A 31 (1998) 465.
H. Nakano, Y. Takahashi and M. Imada, Drude weight of the two-dimensional Hubbard model — Reexamination of finite-size effect in exact diagonalization study, J. Phys. Soc. Jpn. 76 (2007) 034705.
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].
X.-H. Ge, Y. Ling, C. Niu and S.-J. Sin, Thermoelectric conductivities, shear viscosity and stability in an anisotropic linear axion model, Phys. Rev. D 92 (2015) 106005 [arXiv:1412.8346] [INSPIRE].
R.A. Davison, B. Goutéraux and S.A. Hartnoll, Incoherent transport in clean quantum critical metals, JHEP 10 (2015) 112 [arXiv:1507.07137] [INSPIRE].
R.A. Davison and B. Goutéraux, Dissecting holographic conductivities, JHEP 09 (2015) 090 [arXiv:1505.05092] [INSPIRE].
Y. Ling, P. Liu, C. Niu, J.-P. Wu and Z.-Y. Xian, Holographic superconductor on Q-lattice, JHEP 02 (2015) 059 [arXiv:1410.6761] [INSPIRE].
E. Kiritsis and L. Li, Holographic competition of phases and superconductivity, JHEP 01 (2016) 147 [arXiv:1510.00020] [INSPIRE].
M. Baggioli and M. Goykhman, Under the dome: doped holographic superconductors with broken translational symmetry, JHEP 01 (2016) 011 [arXiv:1510.06363] [INSPIRE].
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Ling, Y., Liu, P. & Wu, JP. A novel insulator by holographic Q-lattices. J. High Energ. Phys. 2016, 75 (2016). https://doi.org/10.1007/JHEP02(2016)075
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DOI: https://doi.org/10.1007/JHEP02(2016)075