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Dirac Fermions on a 2D lattice in the presence of defects : with possible applications to quantum computation Weeks, William Conan
Abstract
Dirac Fermions on 2D lattice are studied in the presence of a single flux tube, a pair of flux tubes and an edge dislocation/anti-dislocation pair. Numerical studies have been carried out using exact diagonalization for each case, and the results indicate that the model supports fractionally charged particles with anyonic statistics. An analytical calculation is also provided, predicting a zero energy bound state in the continuum for Dirac Fermions in the presence of a single flux tube carrying one-half flux quantum, as well as a brief discussion of anyonic quasiparticles and their possible application to quantum computation.
Item Metadata
Title |
Dirac Fermions on a 2D lattice in the presence of defects : with possible applications to quantum computation
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Creator | |
Publisher |
University of British Columbia
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Date Issued |
2007
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Description |
Dirac Fermions on 2D lattice are studied in the presence of a single flux
tube, a pair of flux tubes and an edge dislocation/anti-dislocation pair. Numerical
studies have been carried out using exact diagonalization for each
case, and the results indicate that the model supports fractionally charged
particles with anyonic statistics. An analytical calculation is also provided,
predicting a zero energy bound state in the continuum for Dirac Fermions
in the presence of a single flux tube carrying one-half flux quantum, as well
as a brief discussion of anyonic quasiparticles and their possible application
to quantum computation.
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Genre | |
Type | |
Language |
eng
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Date Available |
2011-02-21
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Provider |
Vancouver : University of British Columbia Library
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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.
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DOI |
10.14288/1.0084932
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Campus | |
Scholarly Level |
Graduate
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Aggregated Source Repository |
DSpace
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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.