Quantum phases on ladders and cylinders
Abstract/Contents
- Abstract
- This thesis is primarily concerned with theoretical approaches to quantum condensed matter systems on ladders and cylinders - i.e. geometries that are infinitely long in one direction but finite in another. Ladders and cylinders are extremely interesting systems in their own right, but the theoretical studies carried out here were designed with a very practical goal in mind: to complement density matrix renormalization group (DMRG), a numerical method. We start off in Chapter 1 by motivating the importance of DMRG in treating paradigmatic problems in strongly correlated electron physics, and explaining why DMRG calculations are most naturally carried out on ladder and cylinder geometries. Chapter 2 explores the use of weak-coupling analyses to identify phases at small interaction strengths, where DMRG simulation is most challenging. One of the prob- lems we treat is the half-filled triangular lattice Hubbard cylinder. We explain how our results relate to recent DMRG studies on the same system that apparently detect spin liquid physics. Chapter 3 presents a systematic finite-circumference scaling theory for supercon- ducting cylinders. We explain how our findings can be used to help extrapolate DMRG results to the infinite-circumference limit. Finally, Chapter 4 discusses a different topic in condensed matter physics -- quan- tum oscillations in the cuprate high temperature superconductors. We develop a theory of quantum oscillations in the presence of phase-disordered charge density waves, and use it to interpret key experiments on the material YBCO.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2022; ©2022 |
| Publication date | 2022; 2022 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Gannot, Yuval |
|---|---|
| Degree supervisor | Kivelson, Steven |
| Thesis advisor | Kivelson, Steven |
| Thesis advisor | Khemani, Vedika |
| Thesis advisor | Raghu, Srinivas, 1978- |
| Degree committee member | Khemani, Vedika |
| Degree committee member | Raghu, Srinivas, 1978- |
| Associated with | Stanford University, Department of Physics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Yuval Gannot. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis Ph.D. Stanford University 2022. |
| Location | https://purl.stanford.edu/gf432hz3734 |
Access conditions
- Copyright
- © 2022 by Yuval Gannot
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