Holographic superfluid/fluid/insulator phase transitions in 2+1 dimensions
Holographic superfluid/fluid/insulator phase transitions in 2+1 dimensions
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DOI：
10.1103/physrevd.83.126008
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发表时间：
2011-01
影响因子：
5
通讯作者：
Y. Brihaye;B. Hartmann
中科院分区：
文献类型：
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作者：
Y. Brihaye;B. Hartmann
我们研究了（3+1）维Anti-de Sitter时空中阿贝尔对称性在黑弦视界附近以及雪茄形孤子解尖端附近的破缺。我们使用这些解决方案来描述全息超流体远离探测极限，即考虑到反作用。我们观察到，在这个模型中存在多达四个阶段，分别代表黑弦解决方案的标量头发和孤立波，雪茄形的解决方案，有和没有标量头发的。我们构建了完整的相图，描述了流体和超流体之间、绝缘体和超流体之间以及绝缘体和流体之间的相变。在探头限制的相变从流体到黑弦超流体的变化从二阶到一阶足够大的值的超流体速度和/或角动量的双黑弦。我们发现，如果我们考虑到的相变是一阶弱的反反应成为再次二阶足够强的反反应。此外，我们发现了一种新的类型的绝缘体/超流相变的强反作用和零的超流速度，以及一种新的类型的流体/超流相变，只存在于非零的超流速度。
We study the breaking of an Abelian symmetry close to the horizon of a black string as well as close to the tip of a solitonic, cigar-shaped solution in (3+1)-dimensional Anti-de Sitter space-time. We use these solutions to describe holographic superfluids away from the probe limit, i.e. taking backreaction into account. We observe that up to four phases exist in this model representing the duals of black string solutions with and without scalar hair and solitonic, cigar-shaped solutions with and without scalar hair, respectively. We construct the full phase diagram that describes the phase transitions between fluids and superfluids, between insulators and superfluids as well as between insulators and fluids. In the probe limit the phase transition from fluids to black string superfluids changes from being second order to first order for sufficiently large values of the superfluid velocity and/or the angular momentum of the dual black string. We find that if we take backreaction into account phase transitions that are first order for weak backreaction become again second order for sufficiently strong backreaction. Moreover, we find a new type of insulator/superfluid phase transition for strong backreaction and vanishing superfluid velocity as well as a new type of fluid/superfluid phase transition that exists only for non-vanishing superfluid velocity.