论文标题

全息超导体中的扭曲扭结晶体

Twisted kink crystal in holographic superconductor

论文作者

Matsumoto, Masataka, Yoshii, Ryosuke

论文摘要

全息超导体模型代表具有均匀来源的各种不均匀解决方案。在本文中,我们研究了在均匀电流和化学势存在下的不均匀结构。我们发现单个复杂的扭结凝结物,多个复杂的扭结凝结物和扭曲的扭结晶体冷凝水,其中幅度和阶参数的相位都在空间中调节。分析单个复合物串制的量规不变相差,我们发现相对于电流的非单调行为。我们证实,从总螺旋模型或NAMBU-JONA-JONA-LASINIO模型中获得的分析溶液很好地描述了多个复杂的串关系和扭曲的扭结晶体冷凝物。我们还通过计算自由能来分析复杂扭结凝结物的热力学稳定性。我们的结果表明,全息超导体模型提供了边界物理学,该物理学有效地由Ginzburg-Landau理论以更高的校正为代表。

Holographic superconductor model represents various inhomogeneous solutions with homogeneous sources. In this paper, we study inhomogeneous structures in the presence of the homogeneous current and the chemical potential. We find single complex kink condensates, multiple complex kinks condensates and twisted kink crystal condensates in which both the amplitude and the phase of the order parameter modulate in space. Analyzing the gauge-invariant phase difference in the single complex kink condensates, we find the non-monotonic behaviour with respect to the current. We confirm that the multiple complex kinks condensates and the twisted kink crystal condensates are well described by the analytic solutions obtained from the Gross-Neveu model or the Nambu-Jona-Lasinio model. We also analyze the thermodynamic stability of the complex kink(s) condensates by computing the free energy. Our results imply that holographic superconductor model provides the boundary physics which is effectively represented by the Ginzburg-Landau theory with higher corrections.

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