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arXiv 1208.2008hep-thcond-mat.str-el
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纠缠伸缩双子

Entangled Dilaton Dyons

Nilay Kundu, Prithvi Narayan, Nilanjan Sircar, Sandip P. Trivedi

摘要:

爱因斯坦-麦克斯韦理论耦合到一个量子已知会产生极端的解决方案与超标度破坏。我们研究这些解决方案中存在的一个小磁场的行为。我们发现,在一个区域的参数空间的磁场是相关的红外线和完全改变的行为的解决方案,现在流到一个$AdS_2\times R^2$吸引子。结果是存在一个扩展的基态熵,并且在边界上足够大的区域的纠缠熵像体积一样增长。特别地,这发生在纯电理论具有随着面积$A$而增长的纠缠熵的参数值,如被认为是费米表面的特征的$A \log(A)$。一些其他的热力学性质也进行了分析和更详细的表征的纠缠熵也进行了存在下的磁场。还讨论了$AdS_2\times R^2$终点未描述的参数空间的其他区域。

英文摘要:

Einstein-Maxwell theory coupled to a dilaton is known to give rise to extremal solutions with hyperscaling violation. We study the behaviour of these solutions in the presence of a small magnetic field. We find that in a region of parameter space the magnetic field is relevant in the infra-red and completely changes the behaviour of the solution which now flows to an $AdS_2\times R^2$ attractor. As a result there is an extensive ground state entropy and the entanglement entropy of a sufficiently big region on the boundary grows like the volume. In particular, this happens for values of parameters at which the purely electric theory has an entanglement entropy growing with the area, $A$, like $A \log(A)$ which is believed to be a characteristic feature of a Fermi surface. Some other thermodynamic properties are also analysed and a more detailed characterisation of the entanglement entropy is also carried out in the presence of a magnetic field. Other regions of parameter space not described by the $AdS_2\times R^2$ end point are also discussed.

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