Topological invariants of the Ryu-Takayanagi ($RT$) surface used to observe holographic superconductor phase transition
| Autor: | Behrouz Mirza, Zeinab Sherkatghanad, Marzieh Moradzadeh, Fatemeh Lalehgani Dezaki |
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| Rok vydání: | 2019 |
| Předmět: |
High Energy Physics - Theory
Physics Superconductivity Nuclear and High Energy Physics Phase transition Statistical Mechanics (cond-mat.stat-mech) Holography FOS: Physical sciences Quantum entanglement General Relativity and Quantum Cosmology (gr-qc) Conductivity General Relativity and Quantum Cosmology law.invention Nonlinear system High Energy Physics - Theory (hep-th) law Quantum mechanics lcsh:QC770-798 Topological invariants lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Back-reaction Condensed Matter - Statistical Mechanics |
| Zdroj: | Nuclear Physics B, Vol 944, Iss, Pp-(2019) Nuclear Physics |
| DOI: | 10.48550/arxiv.1905.01632 |
| Popis: | We study the phase transitions in the metal/superconductor system using topological invariants of the Ryu-Takayanagi ($RT$) surface and the volume enclosed by the $RT$ surface in the Lifshitz black hole background. It is shown that these topological invariant quantities identify not only the phase transition but also its order. According to these findings a discontinuity slope is observed at the critical points for these invariant quantities that correspond to the second order of phase transition. These topological invariants provide a clearer illustration of the superconductor phase transition than do the holographic entanglement entropy and the holographic complexity. Also, the backreaction parameter, $k$, is found to have an important role in distinguishing the critical points. The reducing values of the parameter $k$ means that the backreaction of the matter fields are negligible. A continuous slope is observed around the critical points which is characteristic of the probe limit. In addition, exploring the nonlinear electrodynamic, the effects of the nonlinear parameter, $\beta$, is investigated. Finally the properties of conductivity are numerically explored in our model. Comment: 18 pages, 5 figures |
| Databáze: | OpenAIRE |
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