The magical geometry of 1D quantum liquids
- Degree Grantor:
- University of California, Santa Barbara. Physics
- Degree Supervisor:
- Chetan Nayak
- Place of Publication:
- [Santa Barbara, Calif.]
- Publisher:
- University of California, Santa Barbara
- Creation Date:
- 2016
- Issued Date:
- 2016
- Topics:
- Theoretical physics and Condensed matter physics
- Keywords:
- Hyperconductor,
Unimodular lattice,
Perfect metal,
Quantum wire,
Quantum critical point, and
Topological phases - Genres:
- Online resources and Dissertations, Academic
- Dissertation:
- Ph.D.--University of California, Santa Barbara, 2016
- Description:
We investigate the edge properties of Abelian topological phases in two spatial dimensions. We discover that many of them support multiple fully chiral edge phases, with surprising and measurable experimental consequences. Using the machinery of conformal field theory and integral quadratic forms we establish that distinct chiral edge phases correspond to genera of positive-definite integral lattices. This completes the notion of bulk-boundary correspondence for topological phases. We establish that by tuning inter-channel interactions the system can be made to transition between the different edge phases without closing the bulk gap.
Separately we construct a family of one-dimensional models, called Perfect Metals, with no relevant mass-generating operators. These theories describe stable quantum critical phases of interacting fermions, bosons or spins in a quantum nanowire. These models rigorously answer a long-standing question about the existence of stable metallic phases in one and two spatial dimensions in the presence of generic disorder. Separately, they are the first example of a stable phase of an infinite parallel array of coupled Luttinger liquids.
We perform a detailed study of the transport properties of Perfect Metals and show that in addition to violating the Wiedemann-Franz law, they naturally exhibit low power-law dependence of electric and thermal conductivities on temperature all the way to zero temperature. We dub this phenomenological set of properties a hyperconductor because in some sense, hyperconductors are better conductors that superconductors, which may have thermal conductivities that are exponentially small in temperature.
- Physical Description:
- 1 online resource (260 pages)
- Format:
- Text
- Collection(s):
- UCSB electronic theses and dissertations
- Other Versions:
- http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss:10189864
- ARK:
- ark:/48907/f3rb74r7
- ISBN:
- 9781369339550
- Catalog System Number:
- 990047189830203776
- Copyright:
- Eugeniu Plamadeala, 2016
- Rights:
- In Copyright
- Copyright Holder:
- Eugeniu Plamadeala
File | Description |
---|---|
Access: Public access | |
Plamadeala_ucsb_0035D_13003.pdf | pdf (Portable Document Format) |