Optical properties of Born–Infeld-dilaton-Lifshitz holographic superconductors
In this letter, we first study the Lifshitz-dilaton holographic superconductors with nonlinear Born–Infeld (BI) gauge field and obtain the critical temperature of the system for different values of Lifshitz dynamical exponent, z, and nonlinear parameter b. We find that for fixed value of b, the crit...
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Elsevier
2018-10-01
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Series: | Physics Letters B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269318306750 |
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author | M. Kord Zangeneh S.S. Hashemi A. Dehyadegari A. Sheykhi B. Wang |
author_facet | M. Kord Zangeneh S.S. Hashemi A. Dehyadegari A. Sheykhi B. Wang |
author_sort | M. Kord Zangeneh |
collection | DOAJ |
description | In this letter, we first study the Lifshitz-dilaton holographic superconductors with nonlinear Born–Infeld (BI) gauge field and obtain the critical temperature of the system for different values of Lifshitz dynamical exponent, z, and nonlinear parameter b. We find that for fixed value of b, the critical temperature decreases with increasing z. This indicates that the increase of anisotropy between space and time (encoded in Lifshitz exponent z) prevents the phase transition. Also, for fixed value of z, the critical temperature decrease with increasing b. Then, we investigate the optical properties of (2+1) and (3+1)-dimensional BI-Lifshitz holographic superconductors in the presence of dilaton field. We explore the refractive index of the system. This is an important study, since it discloses the effects of anisotropy between space and time as well as nonlinearity of electrodynamics model and dimension on strange metamaterial behavior of the holographic superconductor. For z=1 and (2+1)-dimensional holographic superconductor, we observe negative real part for permittivity Re[ϵ] as frequency ω decreases. Thus, in low frequency region our superconductor exhibit metamaterial property. This behavior is independent of the nonlinear parameter and can be seen for either linear (b=0) and nonlinear (b≠0) electrodynamics. Interestingly, for (3+1)-dimensional Lifshitz-dilaton holographic superconductors, we observe metamaterial behavior neither in the presence of linear nor nonlinear electrodynamics. |
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institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-04-12T19:41:52Z |
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series | Physics Letters B |
spelling | doaj.art-3309ccd0e0b54a71bfcd242b929d7f6c2022-12-22T03:19:04ZengElsevierPhysics Letters B0370-26932018-10-01785238246Optical properties of Born–Infeld-dilaton-Lifshitz holographic superconductorsM. Kord Zangeneh0S.S. Hashemi1A. Dehyadegari2A. Sheykhi3B. Wang4Physics Department, Faculty of Science, Shahid Chamran University of Ahvaz, Ahvaz 61357-43135, Iran; Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P. O. Box: 55134-441, Maragha, Iran; Center for Research on Laser and Plasma, Shahid Chamran University of Ahvaz, Ahvaz, Iran; Corresponding author.Physics Department, Shahid Beheshti University, Evin, Tehran 19839, Iran; Center of Astronomy and Astrophysics, Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, ChinaPhysics Department and Biruni Observatory, Shiraz University, Shiraz 71454, IranPhysics Department and Biruni Observatory, Shiraz University, Shiraz 71454, Iran; Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P. O. Box: 55134-441, Maragha, IranCenter of Astronomy and Astrophysics, Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China; Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University, Yangzhou 225009, ChinaIn this letter, we first study the Lifshitz-dilaton holographic superconductors with nonlinear Born–Infeld (BI) gauge field and obtain the critical temperature of the system for different values of Lifshitz dynamical exponent, z, and nonlinear parameter b. We find that for fixed value of b, the critical temperature decreases with increasing z. This indicates that the increase of anisotropy between space and time (encoded in Lifshitz exponent z) prevents the phase transition. Also, for fixed value of z, the critical temperature decrease with increasing b. Then, we investigate the optical properties of (2+1) and (3+1)-dimensional BI-Lifshitz holographic superconductors in the presence of dilaton field. We explore the refractive index of the system. This is an important study, since it discloses the effects of anisotropy between space and time as well as nonlinearity of electrodynamics model and dimension on strange metamaterial behavior of the holographic superconductor. For z=1 and (2+1)-dimensional holographic superconductor, we observe negative real part for permittivity Re[ϵ] as frequency ω decreases. Thus, in low frequency region our superconductor exhibit metamaterial property. This behavior is independent of the nonlinear parameter and can be seen for either linear (b=0) and nonlinear (b≠0) electrodynamics. Interestingly, for (3+1)-dimensional Lifshitz-dilaton holographic superconductors, we observe metamaterial behavior neither in the presence of linear nor nonlinear electrodynamics.http://www.sciencedirect.com/science/article/pii/S0370269318306750 |
spellingShingle | M. Kord Zangeneh S.S. Hashemi A. Dehyadegari A. Sheykhi B. Wang Optical properties of Born–Infeld-dilaton-Lifshitz holographic superconductors Physics Letters B |
title | Optical properties of Born–Infeld-dilaton-Lifshitz holographic superconductors |
title_full | Optical properties of Born–Infeld-dilaton-Lifshitz holographic superconductors |
title_fullStr | Optical properties of Born–Infeld-dilaton-Lifshitz holographic superconductors |
title_full_unstemmed | Optical properties of Born–Infeld-dilaton-Lifshitz holographic superconductors |
title_short | Optical properties of Born–Infeld-dilaton-Lifshitz holographic superconductors |
title_sort | optical properties of born infeld dilaton lifshitz holographic superconductors |
url | http://www.sciencedirect.com/science/article/pii/S0370269318306750 |
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