Three dimensional quantum electrodynamics and cuprate superconductivity
The ubiquitous phase diagram of the cuprate superconductors has a phase where the density of states still has a gap above the superconducting transition temperature. Due to the presence of a gap without any other superconducting characteristics, this phase is known as the pseudogap (PG) state. E...
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ndltd-UBC-oai-circle.library.ubc.ca-2429-124402018-01-05T17:36:26Z Three dimensional quantum electrodynamics and cuprate superconductivity Davis, Thomas P. The ubiquitous phase diagram of the cuprate superconductors has a phase where the density of states still has a gap above the superconducting transition temperature. Due to the presence of a gap without any other superconducting characteristics, this phase is known as the pseudogap (PG) state. Emery and Kivelson proposed that in this state the superconducting order parameter still has a finite amplitude, however the quantal phase is disordered in such a way that it does not possess long range order. Using these ideas, Franz and Tesanovic developed a theory to explain the pseudogap phase that is identical to three dimensional quantum electrodynamics (QED3 ) apart from an intrinsic anisotropy. Amazingly, this theory can easily explain the antiferromagnetic region. The main purpose of this thesis is twofold. First, to explore some finite temperature properties of QED3 . We do this by calculating a Bosonic polarization bubble at finite temperature in the Matsubara formalism. Secondly we wish to derive some experimentally testable predictions of QED3 . To this end we calculate the modification to the Patrick Lee universal conductivity in the pseudogap state. Science, Faculty of Physics and Astronomy, Department of Graduate 2009-08-20T21:09:18Z 2009-08-20T21:09:18Z 2002 2002-11 Text Thesis/Dissertation http://hdl.handle.net/2429/12440 eng 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. 2585991 bytes application/pdf |
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English |
format |
Others
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description |
The ubiquitous phase diagram of the cuprate superconductors has a phase
where the density of states still has a gap above the superconducting transition
temperature. Due to the presence of a gap without any other superconducting
characteristics, this phase is known as the pseudogap (PG)
state. Emery and Kivelson proposed that in this state the superconducting
order parameter still has a finite amplitude, however the quantal phase is
disordered in such a way that it does not possess long range order. Using
these ideas, Franz and Tesanovic developed a theory to explain the pseudogap
phase that is identical to three dimensional quantum electrodynamics
(QED3 ) apart from an intrinsic anisotropy. Amazingly, this theory can easily
explain the antiferromagnetic region. The main purpose of this thesis is
twofold. First, to explore some finite temperature properties of QED3 . We
do this by calculating a Bosonic polarization bubble at finite temperature in
the Matsubara formalism. Secondly we wish to derive some experimentally
testable predictions of QED3 . To this end we calculate the modification to
the Patrick Lee universal conductivity in the pseudogap state. === Science, Faculty of === Physics and Astronomy, Department of === Graduate |
author |
Davis, Thomas P. |
spellingShingle |
Davis, Thomas P. Three dimensional quantum electrodynamics and cuprate superconductivity |
author_facet |
Davis, Thomas P. |
author_sort |
Davis, Thomas P. |
title |
Three dimensional quantum electrodynamics and cuprate superconductivity |
title_short |
Three dimensional quantum electrodynamics and cuprate superconductivity |
title_full |
Three dimensional quantum electrodynamics and cuprate superconductivity |
title_fullStr |
Three dimensional quantum electrodynamics and cuprate superconductivity |
title_full_unstemmed |
Three dimensional quantum electrodynamics and cuprate superconductivity |
title_sort |
three dimensional quantum electrodynamics and cuprate superconductivity |
publishDate |
2009 |
url |
http://hdl.handle.net/2429/12440 |
work_keys_str_mv |
AT davisthomasp threedimensionalquantumelectrodynamicsandcupratesuperconductivity |
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1718589154880651264 |