Abstract
We clarify the mechanism for negative differential conductivity in holographic conductors. Negative differential conductivity is a phenomenon in which the electric field decreases with the increase of the current. This phenomenon is widely observed in strongly correlated insulators, and it has been known that some models of AdS/CFT correspondence (holographic conductors) reproduce this behaviour. We study the mechanism for negative differential conductivity in holographic conductors by analyzing the lifetime of the bound states of the charge carriers. We find that when the system exhibits negative differential conductivity, the lifetime of the bound states grows as the electric field increases. This suggests that the negative differential conductivity in this system is realized by the suppression of the ionization of the bound states that supplies the free carriers.
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H. Aoki, N. Tsuji, M. Eckstein, M. Kollar, T. Oka and P. Werner, Nonequilibrium dynamical mean-field theory and its applications, Rev. Mod. Phys. 86 (2014) 779 [arXiv:1310.5329].
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].
S. Nakamura, Negative differential resistivity from holography, Prog. Theor. Phys. 124 (2010) 1105 [arXiv:1006.4105] [INSPIRE].
S. Nakamura, Nonequilibrium phase transitions and nonequilibrium critical point from AdS/CFT, Phys. Rev. Lett. 109 (2012) 120602 [arXiv:1204.1971] [INSPIRE].
M. Ali-Akbari and A. Vahedi, Non-equilibrium phase transition from AdS/CFT, Nucl. Phys. B 877 (2013) 95 [arXiv:1305.3713] [INSPIRE].
M. Matsumoto and S. Nakamura, Critical exponents of nonequilibrium phase transitions in AdS/CFT correspondence, Phys. Rev. D 98 (2018) 106027 [arXiv:1804.10124] [INSPIRE].
T. Imaizumi, M. Matsumoto and S. Nakamura, Current driven tricritical point in large-Nc gauge theory, Phys. Rev. Lett. 124 (2020) 191603 [arXiv:1911.06262] [INSPIRE].
A. Karch and E. Katz, Adding flavor to AdS/CFT, JHEP 06 (2002) 043 [hep-th/0205236] [INSPIRE].
A. Karch and A. O’Bannon, Metallic AdS/CFT, JHEP 09 (2007) 024 [arXiv:0705.3870] [INSPIRE].
J. Erdmenger, N. Evans, I. Kirsch and E. Threlfall, Mesons in gauge/gravity duals — a review, Eur. Phys. J. A 35 (2008) 81 [arXiv:0711.4467] [INSPIRE].
E. Schöll, Nonlinear spatio-temporal dynamics and chaos in semiconductors, Cambridge University Press, Cambridge, U.K. (2001).
J. Mas, J.P. Shock and J. Tarrío, Holographic spectral functions in metallic AdS/CFT, JHEP 09 (2009) 032 [arXiv:0904.3905] [INSPIRE].
M. Kaminski, K. Landsteiner, F. Pena-Benitez, J. Erdmenger, C. Greubel and P. Kerner, Quasinormal modes of massive charged flavor branes, JHEP 03 (2010) 117 [arXiv:0911.3544] [INSPIRE].
R.C. Myers, A.O. Starinets and R.M. Thomson, Holographic spectral functions and diffusion constants for fundamental matter, JHEP 11 (2007) 091 [arXiv:0706.0162] [INSPIRE].
S.A. Moskalenko and D.W. Snoke, Bose-Einstein condensation of excitons and biexcitons: and coherent nonlinear optics with excitons, Cambridge University Press, Cambridge, U.K. (2000).
F. Wooten, Optical properties of solids, Academic Press, New York, NY, U.S.A. (1972).
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Ishigaki, S., Nakamura, S. Mechanism for negative differential conductivity in holographic conductors. J. High Energ. Phys. 2020, 124 (2020). https://doi.org/10.1007/JHEP12(2020)124
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DOI: https://doi.org/10.1007/JHEP12(2020)124