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High Energy Physics - Theory
Title: Twisted kink crystal in holographic superconductor
(Submitted on 20 Dec 2020 (v1), last revised 8 Sep 2021 (this version, v2))
Abstract: 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.
Submission history
From: Masataka Matsumoto [view email][v1] Sun, 20 Dec 2020 07:43:54 GMT (551kb,D)
[v2] Wed, 8 Sep 2021 08:31:53 GMT (665kb,D)
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