Davies, Rose (2023). Fractional conductance in one-dimensional systems. University of Birmingham. Ph.D.
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Davies2023PhD.pdf
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Abstract
This thesis analyses possible origins of fractional conductance in one-dimensional systems. Two complementary approaches that use continuum and finite techniques are presented. The continuum description investigates how Luttinger liquids can, though equilibration with the contacts or backscattering, produce conductance plateaus at fractions of e\(^2\)/h. The microscopic perspective uses Wigner chains to concretely understand how whole electrons can be changed into fractional excitations. When only the edges of the system are coupled to the reservoirs, the effect of the coupling can be explicitly solved. The spinful realisation of this model produces resonances with fractional peaks, due to the proportion of configurations that can conduct.
| Type of Work: | Thesis (Doctorates > Ph.D.) | |||||||||
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| Award Type: | Doctorates > Ph.D. | |||||||||
| Supervisor(s): |
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| Licence: | All rights reserved | |||||||||
| College/Faculty: | Colleges (2008 onwards) > College of Engineering & Physical Sciences | |||||||||
| School or Department: | School of Physics and Astronomy | |||||||||
| Funders: | None/not applicable | |||||||||
| Subjects: | Q Science > QC Physics | |||||||||
| URI: | http://etheses.bham.ac.uk/id/eprint/13522 |
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