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PHENOMENOLOGICAL ADS/CFT:
APPLICATIONS TO CONDENSED MATTER
by
Tameem Albash
A Dissertation Presented to the
FACULTY OF THE USC GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(PHYSICS)
May 2010
Copyright 2010 Tameem Albash
Object Description
| Title | Phenomenological AdS/CFT: Applications to condensed matter |
| Author | Albash, Tameem |
| Author email | albash@usc.edu; tameem.albash@gmail.com |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Physics |
| School | College of Letters, Arts and Sciences |
| Date defended/completed | 2010-03-24 |
| Date submitted | 2010 |
| Restricted until | Unrestricted |
| Date published | 2010-04-14 |
| Advisor (committee chair) | Johnson, Clifford |
| Advisor (committee member) |
Warner, Nicholas Krzysztof, Pilch Saleur, Hubert Bradforth, Stephen |
| Abstract | In this dissertation, we present examples of using holography to study systems of interest in condensed matter. The examples we study are not necessarily consistent truncations of string theory or M-theory, but we motivate the work as being phenomenological; we use the minimum elements needed to capture the physics of interest. We study the following two distinct phenomena: superconductivity and Fermi liquids. We show that in the presence of a magnetic field, the holographic superconductor setup has droplet solutions and vortex solutions, allowing us to postulate a phase diagram for our superconductor as a function of magnetic field and temperature. In the presence of a magnetic field, the holographic Fermi liquid has two distinct quasiparticle excitations that couple differently to the magnetic field. We show that these excitations scale differently with magnetic field than expected for either relativistic or non-relativistic Landau levels. Furthermore, we justify the shift of the Fermi energy away from the chemical potential by performing an analytical calculation in a background with similar properties. |
| Keyword | AdS/CFT duality; gauge-gravity duality; holographic superconductors; holographic fermi liquids |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Provenance | Electronically uploaded by the author |
| Type | texts |
| Legacy record ID | usctheses-m2914 |
| Rights | Albash, Tameem |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/ |
| Filename | etd-Albash-3640 |
| Archival file | uscthesesreloadpub_Volume14/etd-Albash-3640.pdf |
Description
| Title | Page 1 |
| Full text | PHENOMENOLOGICAL ADS/CFT: APPLICATIONS TO CONDENSED MATTER by Tameem Albash A Dissertation Presented to the FACULTY OF THE USC GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (PHYSICS) May 2010 Copyright 2010 Tameem Albash |
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