A study of Fermi surfaces in strongly interacting quantum field theories via holoraphy
Abstract/Contents
- Abstract
- The motivation for this work is to obtain a holographic description of strongly interacting quantum field theories that exhibit Fermi surface behavior at low energies. A first step towards this is to determine the contexts in which Fermi surfaces are manifest holographically - that is, which theories of gravity with holographic duals contain low energy degrees of freedom that exist at nonzero momentum. The spectral weight is an important field theoretic quantity that acts as a spectral weight diagnostic:it directly counts the number of degrees of freedom at a given frequency and momentum. Calculating a nonzero value for the spectral weight at low energy and over a finite range of momenta is a signature of a Fermi surface. In what follows, I introduce the calculation of the low energy spectral weight in three holographic theories: the semi-local quantum liquid, the D3/D5 brane system and the holographic superfluid. In the semi-local quantum liquid theories, we discover nonzero low energy spectral weight over a finite range of momenta, and attribute this Fermi surface behavior to the charges existing behind the black hole horizon. Contrary to our expectations, we also obtain nonzero spectral weight in the holographic superfluid case, complete with a bulk instability indicating that the theory is not in the true ground state. We offer an interpretation of these findings, and present interesting questions that arise regarding the connection between the bulk and boundary charge distributions.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2017 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Martin, Victoria Lynn |
|---|---|
| Associated with | Stanford University, Department of Physics. |
| Primary advisor | Hartnoll, Sean |
| Thesis advisor | Hartnoll, Sean |
| Thesis advisor | Kachru, Shamit, 1970- |
| Thesis advisor | Senatore, Leonardo |
| Advisor | Kachru, Shamit, 1970- |
| Advisor | Senatore, Leonardo |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Victoria Lynn Martin. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2018. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2017 by Victoria Lynn Martin
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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