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Topics in strongly correlated electrons

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TypeOfResource
Text
TitleInfo (ID = T-1)
Title
Topics in strongly correlated electrons
Identifier
ETD_1491
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050493
Language
LanguageTerm (authority = ISO639-2); (type = code)
eng
Genre (authority = marcgt)
theses
Subject (ID = SBJ-1); (authority = RUETD)
Topic
Physics and Astronomy
Subject (ID = SBJ-1); (authority = ETD-LCSH)
Topic
Quantum electronics
Abstract
The thesis is a collection of three topics connected together by the common themes of strong interactions, magnetism and quantum phases, such as the Aharonov-Bohm or Berry phase.
The first part of the present dissertation discusses the possibility of examining microscopic origins of magnetism in strongly interacting systems by exploiting the setting of ultra-cold atomic gases in optical lattices. We discuss signatures of correlation in the trap, and propose an experiment to measure the phase diagram of itinerant magnetism directly.
The second part focuses on the exotic phase of matter exhibiting the Fractional Quantum Hall Effect, which emerges when interacting particles are placed in a very strong magnetic field. We propose a trial ground state wave-function and prove that it is the unique highest density ground state of a well-motivated pseudo-potential Hamiltonian. The exchange statistics of quasiparticles are shown to be exotic, and overlaps with results of exact diagonalization are
also discussed.
The final part of the thesis studies frustrated magnetic systems, in which competing forces cannot not be satisfied simultaneously, doped with electrons. The interplay of frustration and itinerant behavior generates Berry phases associated with charge transport. We study the effects of these phases on electronic behavior, as well as the effect electrons have on the underlying
magnetic textures. In the quasi-classical limit, we conjecture a field-driven metal-insulator transition, and discuss persistent currents arising in ground states selected by the presence of charge. In the quantum regime we derive the full Hamiltonian and discuss small fluctuations about the classical results.
PhysicalDescription
Extent
vii, 97 p. : ill.
InternetMediaType
application/pdf
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text/xml
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references.
Note (type = statement of responsibility)
by Ilya Berdnikov
Name (ID = NAME-1); (type = personal)
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Berdnikov
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Ilya
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Ilya Berdnikov
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Coleman
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Piers
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chair
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Advisory Committee
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Piers Coleman
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Gustafsson
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Torgny
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internal member
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Advisory Committee
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Torgny Gustafsson
Name (ID = NAME-4); (type = personal)
NamePart (type = family)
Chandra
NamePart (type = given)
Premala
Role
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internal member
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Advisory Committee
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Premala Chandra
Name (ID = NAME-5); (type = personal)
NamePart (type = family)
Kloet
NamePart (type = given)
Willem
Role
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internal member
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Advisory Committee
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Willem M Kloet
Name (ID = NAME-6); (type = personal)
NamePart (type = family)
Simon
NamePart (type = given)
Steven
Role
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outside member
Affiliation
Advisory Committee
DisplayForm
Steven H Simon
Name (ID = NAME-1); (type = corporate)
NamePart
Rutgers University
Role
RoleTerm (authority = RULIB); (type = )
degree grantor
Name (ID = NAME-2); (type = corporate)
NamePart
Graduate School - New Brunswick
Role
RoleTerm (authority = RULIB); (type = )
school
OriginInfo
DateCreated (point = ); (qualifier = exact)
2009
DateOther (qualifier = exact); (type = degree)
2009-01
Place
PlaceTerm (type = code)
xx
Location
PhysicalLocation (authority = marcorg)
NjNbRU
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
RelatedItem (type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier (type = local)
rucore19991600001
Identifier (type = doi)
doi:10.7282/T3BV7GXC
Genre (authority = ExL-Esploro)
ETD doctoral
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RightsDeclaration (AUTHORITY = GS); (ID = rulibRdec0006)
The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
RightsEvent (AUTHORITY = rulib); (ID = 1)
Type
Permission or license
Detail
Non-exclusive ETD license
AssociatedObject (AUTHORITY = rulib); (ID = 1)
Type
License
Name
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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Technical

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ETD
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application/pdf
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application/x-tar
FileSize (UNIT = bytes)
1269760
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