Anisotropic electron hydrodynamics
Abstract/Contents
- Abstract
- This dissertation explores the physical consequences of point anisotropy in hydrodynamic systems, focusing in particular on hydrodynamic electrons in ultra-pure, quasi-two-dimensional metals at low temperature. Since the presence of an ionic lattice breaks continuous rotational invariance in this context, textbook Galilean-invariant hydrodynamics is generically inappropriate for electron fluids and must instead be generalized to account for the reduced symmetry. First, an introduction to electron hydrodynamics and the relevant group theory is given. Next, a kinetic theory model for electronic scattering in two-dimensional Fermi liquids with polygonal Fermi surfaces is developed, and the consequences of point anisotropy for this model's hydrodynamic limit are discussed. A systematic treatment of the viscosity tensor for two-dimensional fluids of arbitrary point group is then given, followed by a proposal for a symmetry-exploiting viscometry technique that can isolate and measure the multiple, distinct viscosity components that generically appear in anisotropic fluids. Finally, the implications of inversion-symmetry breaking in an anisotropic electron fluid are studied by specializing to the case of a triangular point group. The breaking of inversion symmetry is found to allow for an analogue of the piezoelectric effect in solids, and a highly-symmetrical device geometry for detecting this ``hydrodynamic piezoelectric effect" is proposed.
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 | Cook, Caleb Quinton |
|---|---|
| Degree supervisor | Kivelson, Steven |
| Degree supervisor | Lucas, Andrew, (Postdoctoral fellow in theoretical condensed matter physics) |
| Thesis advisor | Kivelson, Steven |
| Thesis advisor | Lucas, Andrew, (Postdoctoral fellow in theoretical condensed matter physics) |
| Thesis advisor | Goldhaber-Gordon, David, 1972- |
| Thesis advisor | Hartnoll, Sean |
| Degree committee member | Goldhaber-Gordon, David, 1972- |
| Degree committee member | Hartnoll, Sean |
| Associated with | Stanford University, Department of Physics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Caleb Q. Cook. |
|---|---|
| Note | Submitted to the Department of Physics. |
| Thesis | Thesis Ph.D. Stanford University 2022. |
| Location | https://purl.stanford.edu/pq551jt0326 |
Access conditions
- Copyright
- © 2022 by Caleb Quinton Cook
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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