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...

Full description

Bibliographic Details
Main Authors: M. Kord Zangeneh, S.S. Hashemi, A. Dehyadegari, A. Sheykhi, B. Wang
Format: Article
Language:English
Published: Elsevier 2018-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318306750
_version_ 1811263209031598080
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.
first_indexed 2024-04-12T19:41:52Z
format Article
id doaj.art-3309ccd0e0b54a71bfcd242b929d7f6c
institution Directory Open Access Journal
issn 0370-2693
language English
last_indexed 2024-04-12T19:41:52Z
publishDate 2018-10-01
publisher Elsevier
record_format Article
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
work_keys_str_mv AT mkordzangeneh opticalpropertiesofborninfelddilatonlifshitzholographicsuperconductors
AT sshashemi opticalpropertiesofborninfelddilatonlifshitzholographicsuperconductors
AT adehyadegari opticalpropertiesofborninfelddilatonlifshitzholographicsuperconductors
AT asheykhi opticalpropertiesofborninfelddilatonlifshitzholographicsuperconductors
AT bwang opticalpropertiesofborninfelddilatonlifshitzholographicsuperconductors