- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- UBC Theses and Dissertations /
- We have nothing to lose but our spin chains
Open Collections
UBC Theses and Dissertations
UBC Theses and Dissertations
We have nothing to lose but our spin chains Horton, Matthew D. P.
Abstract
Two quantum spin chains problems are discussed. Firstly, using the exact form factors of the 0(3) nonlinear a model the three-magnon contribution to the spin correlation function of a spin-1 chain is calculated. A very broad peak with a small amplitude is predicted. The integrated intensity of this contribution relative to the single magnon peak is of the order 2%. Experimentally, such a contribution would be difficult, if not impossible, to observe. In the second problem we consider the problem of doping spin-1 magnetic materials with nonmagnetic impurities. In the case where interchain coupling is weak, the nonmagnetic impurities effectively cut decoupled spin chains into finite lengths. We impose free boundary conditions at the chain ends and apply bosonization, mapping the problem onto a torus. Using this formalism we are able to numerically calculate the alternating susceptibility for any reasonable length chain at any temperature. The Neel temperature is then calculated for a three dimensional square lattice as a function of average chain length.
Item Metadata
| Title |
We have nothing to lose but our spin chains
|
| Creator | |
| Publisher |
University of British Columbia
|
| Date Issued |
2000
|
| Description |
Two quantum spin chains problems are discussed. Firstly, using the exact form factors of
the 0(3) nonlinear a model the three-magnon contribution to the spin correlation function
of a spin-1 chain is calculated. A very broad peak with a small amplitude is predicted.
The integrated intensity of this contribution relative to the single magnon peak is of
the order 2%. Experimentally, such a contribution would be difficult, if not impossible,
to observe. In the second problem we consider the problem of doping spin-1 magnetic
materials with nonmagnetic impurities. In the case where interchain coupling is weak,
the nonmagnetic impurities effectively cut decoupled spin chains into finite lengths. We
impose free boundary conditions at the chain ends and apply bosonization, mapping the
problem onto a torus. Using this formalism we are able to numerically calculate the
alternating susceptibility for any reasonable length chain at any temperature. The Neel
temperature is then calculated for a three dimensional square lattice as a function of
average chain length.
|
| Extent |
1951791 bytes
|
| Genre | |
| Type | |
| File Format |
application/pdf
|
| Language |
eng
|
| Date Available |
2009-07-10
|
| Provider |
Vancouver : University of British Columbia Library
|
| Rights |
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.
|
| DOI |
10.14288/1.0085168
|
| URI | |
| Degree | |
| Program | |
| Affiliation | |
| Degree Grantor |
University of British Columbia
|
| Graduation Date |
2000-11
|
| Campus | |
| Scholarly Level |
Graduate
|
| Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
For non-commercial purposes only, such as research, private study and education. Additional conditions apply, see Terms of Use https://open.library.ubc.ca/terms_of_use.