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Symplectic-N in strongly correlated materials
Descriptive
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Text
TitleInfo
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Title
Symplectic-N in strongly correlated materials
Identifier
ETD_2827
Identifier
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http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000056344
Language
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eng
Genre
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theses
Subject
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Topic
Physics and Astronomy
Subject
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(authority = ETD-LCSH)
Topic
Electrons
Subject
(ID = SBJ-3);
(authority = ETD-LCSH)
Topic
Superconductivity
Subject
(ID = SBJ-4);
(authority = ETD-LCSH)
Topic
Fermions
Abstract
(type = abstract)
Strong correlations between electrons often generate unexpected new collective behavior that we call emergent phenomena. Strong interactions can ramp up the relevant scales, creating massive electrons in heavy fermion materials and high transition temperatures in superconductors, or lead to entirely new states of matter with low energy excitations containing a fraction of the original electron. These phenomena provide unique challenges to theorists as they sit at the intersection of kinetic and potential energy scales, where perturbative many body techniques fail. One useful method here is the large N approach, which generalizes the number of components of the electron spin from 2 to N, providing an artificial perturbation expansion about a strongly correlated state which, if chosen properly, captures the essential physics. To do so, we must ensure that the large N limit maintains the important symmetries. While SU(N) is the traditional large-N limit, not all SU(N) spins invert under time-reversal for N > 2. To treat phenomena like frustrated magnetism and superconductivity that contain particle-particle singlets, we must restrict ourselves to the subgroup of time-reversing spins, SP(N), a large N limit we call symplectic-N. The correspondance of time-reversal and symplectic symmetry, and its consequences for spin and Hubbard operator representations are discussed in Chapter 2, which provides the mathematical backbone of this dissertation. Chapter 3 develops a symplectic-N treatment of frustrated magnetism, treating ferromagnetic and antiferromagnetic correlations on equal footing, before we move on to unconventional superconductivity. First we show how composite pairs, bound states between local moments and conduction electrons in two orthogonal symmetry channels, emerge from the large N limit of the two channel Kondo model in Chapter 4, and then discuss how composite pairing interacts cooperatively with magnetic pairing in Chapter 5. In Chapter 6, we examine the interplay of composite pairing and valence fluctuations in the two-channel Anderson model. Finally, Chapter 7 studies the effect of Coulomb repulsion on s +/- pairing in a t-J model of the iron-based superconductors.
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electronic resource
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x, 190 p. : ill.
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Ph.D.
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Includes bibliographical references
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Includes vita
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by Rebecca Flint
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Flint
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Rebecca
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1981-
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author
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Rebecca Flint
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Coleman
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Piers
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chair
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Piers Coleman
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Haule
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Kristjan
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Kristjan Haule
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Halkiadakis
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Eva
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Eva Halkiadakis
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Croft
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Mark
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Mark Croft
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Oganesyan
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Vadim
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Vadim Oganesyan
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Rutgers University
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degree grantor
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Graduate School - New Brunswick
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school
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2010
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2010
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xx
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Rutgers University Electronic Theses and Dissertations
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ETD
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Title
Graduate School - New Brunswick Electronic Theses and Dissertations
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rucore19991600001
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NjNbRU
Identifier
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doi:10.7282/T3BP02KJ
Genre
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ETD doctoral
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Rights
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The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
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Name
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Flint
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Rebecca
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DateTime
2010-08-26 17:43:08
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Rebecca Flint
Affiliation
Rutgers University. Graduate School - New Brunswick
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Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
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ETD
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8089600
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