Optical properties of Born-Infeld-dilaton-Lifshitz holographic superconductors

• Published in: arXiv.org
• Main Authors: Zangeneh, M Kord, Hashemi, S S, Dehyadegari, A, Sheykhi, A, Wang, B
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 10.11.2017
• Subjects: Anisotropy; Critical temperature; Dilatons; Electrodynamics; Metamaterials; Optical properties; Parameters; Phase transitions; Physics - High Energy Physics - Theory; Refractivity; Transition temperature
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.1710.10162

In this paper, 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 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 the presence of dilaton field. We explore the refractive index of the system. For \(z=1\) and \((2+1)\)-dimensional holographic superconductor, we observe negative real part for permittivity \(\textrm{Re}[\epsilon]\) as frequency \(\omega \) decreases. Thus, in low frequency region our superconductor exhibit metamaterial property. This behaviour is independent of the nonlinear parameter and can be seen for either linear (\(b=0\)) and nonlinear (\(b\neq 0\)) electrodynamics. Interestingly, for (\(3+1\))-dimensional Lifshitz-dilaton holographic superconductors, we observe metamaterial behavior neither in the presence of linear nor nonlinear electrodynamics.