Zeroth order phase transition in a holographic superconductor with single impurity

Hua Bi Zeng; Hai-Qing Zhang

doi:10.1016/j.nuclphysb.2015.05.025

Zeroth order phase transition in a holographic superconductor with single impurity

Hua Bi Zeng^*
, Hai-Qing Zhang

^*Corresponding author for this work

Bohai University

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We investigate the single normal impurity effect in a superconductor by the holographic method. When the size of impurity is much smaller than the host superconductor, we can reproduce the Anderson theorem, which states that a conventional s-wave superconductor is robust to a normal (non-magnetic) impurity with small impurity strength. However, by increasing the size of the impurity in a fixed-size host superconductor, we find a decreasing critical temperature T-c of the host superconductor, which agrees with the results in condensed matter literatures. More importantly, the phase transition at the critical impurity strength (or the critical temperature) is of zeroth order. (C) 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license.

Original language	English
Pages (from-to)	276-288
Number of pages	13
Journal	Nuclear physics. Series B
Volume	897
DOIs	https://doi.org/10.1016/j.nuclphysb.2015.05.025
Publication status	Published - Aug 2015

Funding

We thank Yong-Qiang Wang, Prof. Chiang-Mei Chen, Prof. Rong-Gen Cai, Li Li and Phil Szepietowski for many valuable comments. The authors are grateful to the Mainz Institute for Theoretical Physics (MITP) and CERN for their hospitality and their partial support during the completion of this work. This work is supported in part by the National Natural Science Foundation of China (Grant No. 11205020 and No. 11205097) and in part by the fund of Utrecht University budget associated to Gerard 't Hooft.

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abstract = "We investigate the single normal impurity effect in a superconductor by the holographic method. When the size of impurity is much smaller than the host superconductor, we can reproduce the Anderson theorem, which states that a conventional s-wave superconductor is robust to a normal (non-magnetic) impurity with small impurity strength. However, by increasing the size of the impurity in a fixed-size host superconductor, we find a decreasing critical temperature T-c of the host superconductor, which agrees with the results in condensed matter literatures. More importantly, the phase transition at the critical impurity strength (or the critical temperature) is of zeroth order. (C) 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license.",

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AB - We investigate the single normal impurity effect in a superconductor by the holographic method. When the size of impurity is much smaller than the host superconductor, we can reproduce the Anderson theorem, which states that a conventional s-wave superconductor is robust to a normal (non-magnetic) impurity with small impurity strength. However, by increasing the size of the impurity in a fixed-size host superconductor, we find a decreasing critical temperature T-c of the host superconductor, which agrees with the results in condensed matter literatures. More importantly, the phase transition at the critical impurity strength (or the critical temperature) is of zeroth order. (C) 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license.

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Zeroth order phase transition in a holographic superconductor with single impurity

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