Josephson junctions and AdS/CFT networks

被引：0
作者：
Elias Kiritsis
Vasilis Niarchos
机构：
[1] University of Crete,Crete Center for Theoretical Physics, Department of Physics
[2] Laboratoire APC,undefined
[3] Université Paris-Diderot Paris 7,undefined
[4] CNRS UMR 7164,undefined
来源：
Journal of High Energy Physics | / 2011卷
关键词：
Gauge-gravity correspondence; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT);
D O I：
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中图分类号：
学科分类号：
摘要：
We propose a new holographic model of Josephson junctions (and networks thereof) based on designer multi-gravity, namely multi-(super)gravity theories on products of distinct asymptotically AdS spacetimes coupled by mixed boundary conditions. We present a simple model of a Josephson junction (JJ) that reproduces trivially the well-known current-phase sine relation of JJs. In one-dimensional chains of holographic superconductors we find that the Cooper-pair condensates are described by a discretized Schrödinger-type equation. Such non-integrable equations, which have been studied extensively in the past in condensed matter and optics applications, are known to exhibit complex behavior that includes periodic and quasiperiodic solutions, chaotic dynamics, soliton and kink solutions. In our setup these solutions translate to holographic configurations of strongly-coupled superconductors in networks with weak site-to-site interactions that exhibit interesting patterns of modulated superconductivity. In a continuum limit our equations reduce to generalizations of the Gross-Pitaevskii equation. We comment on the many possible extensions and applications of this new approach.
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