Optical properties of Born–Infeld-dilaton-Lifshitz holographic superconductors
Optical properties of Born–Infeld-dilaton-Lifshitz holographic superconductors
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DOI：
10.1016/j.physletb.2018.08.059
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发表时间：
2017-10
影响因子：
4.4
通讯作者：
M. K. Zangeneh;S. Hashemi;S. Hashemi;A. Dehyadegari;A. Sheykhi;Bin Wang;Bin Wang
中科院分区：
文献类型：
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作者：
M. K. Zangeneh;S. Hashemi;S. Hashemi;A. Dehyadegari;A. Sheykhi;Bin Wang;Bin Wang
本文首先研究了具有非线性Born-Infeld（BI）规范场的全息超导体上的Lifshitz相变，得到了不同Lifshitz动力学指数z和非线性参数B时系统的临界温度。我们发现，对于固定的B值，临界温度随z的增加而降低。这表明空间和时间之间的各向异性的增加（以Lifshitz指数z编码）阻止了相变。当z一定时，临界温度随B的增大而降低.然后，我们研究了（2+ 1）维和（3+ 1）维BI-Lifshitz全息超导体在声子场作用下的光学性质。我们探索了系统的折射率。这是一项重要的研究，因为它揭示了空间和时间之间的各向异性以及电动力学模型和尺寸的非线性对全息超导体的奇异超材料行为的影响。对于z= 1的（2+ 1）维全息超导体，随着频率ω的减小，我们观察到了负的真实的介电常数Re [ε].因此，在低频区域，我们的超导体表现出超材料性质。这种行为与非线性参数无关，并且可以在线性（B= 0）和非线性（B = 0）电动力学中看到。有趣的是，对于（3+ 1）维全息超导体上的Lifshitz-dielectric，我们观察到超材料的行为，无论是在线性或非线性电动力学的存在。
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.