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Holographic Entanglement Entropy in P-wave Superconductor Phase Transition

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arxiv 1204.5962 v2 pith:DXH6RNOO submitted 2012-04-26 hep-th cond-mat.supr-congr-qc

Holographic Entanglement Entropy in P-wave Superconductor Phase Transition

classification hep-th cond-mat.supr-congr-qc
keywords entropyentanglementholographicphasetransitionconstantinvestigateorder
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the behavior of entanglement entropy across the holographic p-wave superconductor phase transition in an Einstein-Yang-Mills theory with a negative cosmological constant. The holographic entanglement entropy is calculated for a strip geometry at AdS boundary. It is found that the entanglement entropy undergoes a dramatic change as we tune the ratio of the gravitational constant to the Yang-Mills coupling, and that the entanglement entropy does behave as the thermal entropy of the background black holes. That is, the entanglement entropy will show the feature of the second order or first order phase transition when the ratio is changed. It indicates that the entanglement entropy is a good probe to investigate the properties of the holographic phase transition.

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Cited by 3 Pith papers

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    In Einstein-Born-Infeld massive gravity, the second temperature derivative of the entanglement-wedge cross-section tracks the metal-insulator crossover, all entanglement measures diagnose Hawking-Page transitions, and...

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    In the EMS holographic model, entanglement entropy, mutual information, wedge cross-section, and butterfly velocity all show critical exponent 1—twice the scalar order parameter—and MI grows faster than EWCS across th...