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A study of holographic superconductors
Includes bibliographical references (leaves 61-68).
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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Department of Mathematics and Applied Mathematics
2014
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| _version_ | 1867613237326905344 |
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| access_status_str | Open Access |
| author | Umeh, Obinna |
| author2 | Murugan, Jeffrey |
| author_browse | Murugan, Jeffrey Umeh, Obinna |
| author_facet | Murugan, Jeffrey Umeh, Obinna |
| author_sort | Umeh, Obinna |
| collection | Thesis |
| description | Includes bibliographical references (leaves 61-68). |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/9002 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:32:57.328Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/9002 A study of holographic superconductors Umeh, Obinna Murugan, Jeffrey Mathematics and Applied Mathematics Includes bibliographical references (leaves 61-68). The proposal that the physics of quantum critical phase transition in strongly coupled condensed matter systems can be described by a gravitational theory within the frame work of gauge/gravity correspondence is investigated more extensively for s-wave superconductors. We consider a gravitational theory with a black hole solution in anti de Sitter spacetime, coupled to an Abelian-Higgs system in (d + 1)-dimensions. A wide range of negative mass squared for the scalar field that satisfied the Brietenlolmer-Freedman stability bound and the unitarity bound are considered in the probe limit. The dependence of the some of the physical quantities on the scaling dimensions of the dual condensates were thoroughly investigated. We observe that the holographic superconductors can be consistently classified into two, based on the scaling dimensions and the charge of the dual condensates. Holographic superconductors of dimension λ- exhibit features of type II superconductors while those of dimension λ+ show features of type 1. The validity of this classification was confirmed by solving the bulk equations of motion perturbatively near the quantum critical point in order to calculate the superconducting characteristic lengths at a fixed charge q. The results show that there is a critical scaling dimension beyond which a holographic superconductor behave as type I and below this value it is a type II. The properties of holographic superconductors presented in this report are in qualitative agreement with the Ginzburg-Landau theory. 2014-10-31T18:00:28Z 2014-10-31T18:00:28Z 2009 Master Thesis Masters MSc http://hdl.handle.net/11427/9002 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics and Applied Mathematics Umeh, Obinna A study of holographic superconductors |
| thesis_degree_str | Master's |
| title | A study of holographic superconductors |
| title_full | A study of holographic superconductors |
| title_fullStr | A study of holographic superconductors |
| title_full_unstemmed | A study of holographic superconductors |
| title_short | A study of holographic superconductors |
| title_sort | study of holographic superconductors |
| topic | Mathematics and Applied Mathematics |
| url | http://hdl.handle.net/11427/9002 |
| work_keys_str_mv | AT umehobinna astudyofholographicsuperconductors AT umehobinna studyofholographicsuperconductors |