Topology and disorder in quantum condensed matter systems
Abstract/Contents
- Abstract
- This thesis covers a number of topics related to condensed matter systems in which degrees of freedom are strongly interacting with each other, subject to strong randomness from impurities and dirt, or both. The first part of the thesis presents the lattice constructions of the recently proposed web of dualities between quantum field theories in (2+1) dimensions. These dualities and the lattice constructions shed light on non-perturbative aspects of strongly interacting systems in two spatial dimensions. The second part of the thesis covers exactly solvable 2D Hamiltonians for topologically ordered states with chiral edge states and quantum spin Hall insulators. These models, obtained upon decorating previously-well-known physical models with fermions and parafermions, provide analytically tractable ways of studying 2D topological phases of matter in presence of strong interaction, disorder, or both. The final part of the thesis shows how the phase transitions involving dirty three-dimensional topological insulators can be understood in terms of the semiclassical percolation picture of electrons in the 3D network.
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 | Son, Jun Ho |
|---|---|
| Degree supervisor | Raghu, Srinivas, 1978- |
| Thesis advisor | Raghu, Srinivas, 1978- |
| Thesis advisor | Devereaux, Thomas Peter, 1964- |
| Thesis advisor | Khemani, Vedika |
| Degree committee member | Devereaux, Thomas Peter, 1964- |
| Degree committee member | Khemani, Vedika |
| Associated with | Stanford University, Department of Physics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Jun Ho Son. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis Ph.D. Stanford University 2022. |
| Location | https://purl.stanford.edu/wn944ny6176 |
Access conditions
- Copyright
- © 2022 by Jun Ho Son
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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