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Holographic Entanglement Entropy and Complexity for D-Wave Superconductors

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arxiv 2209.12421 v2 pith:EAJHLPU2 submitted 2022-09-26 hep-th cond-mat.supr-con

Holographic Entanglement Entropy and Complexity for D-Wave Superconductors

classification hep-th cond-mat.supr-con
keywords holographicd-wavephasesuperconductingcomplexityentanglemententropysubregion
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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By using the RT formula and the subregion CV conjecture respectively, we numerically investigate the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) for two holographic d-wave superconducting models with backreactions. We find that both the HEE and HSC can be used as good probes to these two d-wave superconducting phase transitions. The HEE of superconducting phase is always lower than that of the normal phase due to the condensation of degrees of freedom below the critical temperature Tc. However, for the HSC, it behaves differently and interestingly, which depends on both the strip-width Lx and backreaction \k{appa}.

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