Zeroth order phase transition in a holographic superconductor with single impurity

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) i...

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Main Authors: Hua Bi Zeng, Hai-Qing Zhang
Format: Article
Language:English
Published: Elsevier 2015-08-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321315001856
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author Hua Bi Zeng
Hai-Qing Zhang
author_facet Hua Bi Zeng
Hai-Qing Zhang
author_sort Hua Bi Zeng
collection DOAJ
description 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 Tc 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.
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spelling doaj.art-a51887401467495381cc8843f35daa622022-12-22T00:30:36ZengElsevierNuclear Physics B0550-32131873-15622015-08-01897C27628810.1016/j.nuclphysb.2015.05.025Zeroth order phase transition in a holographic superconductor with single impurityHua Bi Zeng0Hai-Qing Zhang1School of Mathematics and Physics, Bohai University, JinZhou 121000, ChinaInstitute for Theoretical Physics, Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, The NetherlandsWe 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 Tc 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.http://www.sciencedirect.com/science/article/pii/S0550321315001856
spellingShingle Hua Bi Zeng
Hai-Qing Zhang
Zeroth order phase transition in a holographic superconductor with single impurity
Nuclear Physics B
title Zeroth order phase transition in a holographic superconductor with single impurity
title_full Zeroth order phase transition in a holographic superconductor with single impurity
title_fullStr Zeroth order phase transition in a holographic superconductor with single impurity
title_full_unstemmed Zeroth order phase transition in a holographic superconductor with single impurity
title_short Zeroth order phase transition in a holographic superconductor with single impurity
title_sort zeroth order phase transition in a holographic superconductor with single impurity
url http://www.sciencedirect.com/science/article/pii/S0550321315001856
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AT haiqingzhang zerothorderphasetransitioninaholographicsuperconductorwithsingleimpurity