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arXiv 1302.5149hep-thcond-mat.str-el
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全息费米子的量子修正phase diagram

Quantum corrected phase diagram of holographic fermions

Mariya V. Medvedyeva, Elena Gubankova, Mihailo Čubrović, Koenraad Schalm, Jan Zaanen

摘要:

在AdS ${}_4$ /CFT ${}_3$对应框架下,研究了二维强关联电子系统的相位. AdS(引力)模型由耦合到电磁场和引力的狄拉克费米子组成。为了对CFT侧的强关联电子的基态进行分类并构造系统的全相图,我们基于Dirac方程的WKB近似,构造了体费米子动力学的量子多体模型.在低温下,我们发现一个量子校正近似的电子星的边缘是解决的波函数完全通过AdS扩展。在高温下,系统表现出{ \em第一}阶热相变到一个带电的AdS-RN黑洞的散装和出现的局部量子临界的CFT侧。半经典电子星经历的三级跃迁的这种变化恢复了临界AdS-RN液体与有限密度费米系统之间的跃迁是范德华液-气类型的直觉。

英文摘要:

We study the phases of strongly correlated electron systems in two spatial dimensions in the framework of AdS${}_4$/CFT${}_3$ correspondence. The AdS (gravity) model consists of a Dirac fermion coupled to electromagnetic field and gravity. To classify the ground states of strongly correlated electrons on the CFT side and to construct the full phase diagram of the system, we construct a quantum many-body model of bulk fermion dynamics, based on the WKB approximation to the Dirac equation. At low temperatures, we find a quantum corrected approximation to the electron star where the edge is resolved in terms of wavefunctions extended fully through AdS. At high temperatures, the system exhibits a {\em first} order thermal phase transition to a charged AdS-RN black hole in the bulk and the emergence of local quantum criticality on the CFT side. This change from the third order transition experienced by the semi-classical electron star restores the intuition that the transition between the critical AdS-RN liquid and the finite density Fermi system is of van der Waals liquid-gas type.

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