Staff View
Symplectic-N in strongly correlated materials

Descriptive

TypeOfResource
Text
TitleInfo (ID = T-1)
Title
Symplectic-N in strongly correlated materials
Identifier
ETD_2827
Identifier (type = hdl)
http://hdl.rutgers.edu/1782.1/rucore10001600001.ETD.000056344
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-2); (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.
PhysicalDescription
Form (authority = gmd)
electronic resource
Extent
x, 190 p. : ill.
InternetMediaType
application/pdf
InternetMediaType
text/xml
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Note (type = vita)
Includes vita
Note (type = statement of responsibility)
by Rebecca Flint
Name (ID = NAME-1); (type = personal)
NamePart (type = family)
Flint
NamePart (type = given)
Rebecca
NamePart (type = date)
1981-
Role
RoleTerm (authority = RULIB)
author
DisplayForm
Rebecca Flint
Name (ID = NAME-2); (type = personal)
NamePart (type = family)
Coleman
NamePart (type = given)
Piers
Role
RoleTerm (authority = RULIB)
chair
Affiliation
Advisory Committee
DisplayForm
Piers Coleman
Name (ID = NAME-3); (type = personal)
NamePart (type = family)
Haule
NamePart (type = given)
Kristjan
Role
RoleTerm (authority = RULIB)
internal member
Affiliation
Advisory Committee
DisplayForm
Kristjan Haule
Name (ID = NAME-4); (type = personal)
NamePart (type = family)
Halkiadakis
NamePart (type = given)
Eva
Role
RoleTerm (authority = RULIB)
internal member
Affiliation
Advisory Committee
DisplayForm
Eva Halkiadakis
Name (ID = NAME-5); (type = personal)
NamePart (type = family)
Croft
NamePart (type = given)
Mark
Role
RoleTerm (authority = RULIB)
internal member
Affiliation
Advisory Committee
DisplayForm
Mark Croft
Name (ID = NAME-6); (type = personal)
NamePart (type = family)
Oganesyan
NamePart (type = given)
Vadim
Role
RoleTerm (authority = RULIB)
outside member
Affiliation
Advisory Committee
DisplayForm
Vadim Oganesyan
Name (ID = NAME-1); (type = corporate)
NamePart
Rutgers University
Role
RoleTerm (authority = RULIB)
degree grantor
Name (ID = NAME-2); (type = corporate)
NamePart
Graduate School - New Brunswick
Role
RoleTerm (authority = RULIB)
school
OriginInfo
DateCreated (qualifier = exact)
2010
DateOther (qualifier = exact); (type = degree)
2010
Place
PlaceTerm (type = code)
xx
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
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/T3BP02KJ
Genre (authority = ExL-Esploro)
ETD doctoral
Back to the top

Rights

RightsDeclaration (AUTHORITY = GS); (ID = rulibRdec0006)
The author owns the copyright to this work.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
RightsHolder (ID = PRH-1); (type = personal)
Name
FamilyName
Flint
GivenName
Rebecca
Role
Copyright Holder
RightsEvent (ID = RE-1); (AUTHORITY = rulib)
Type
Permission or license
DateTime
2010-08-26 17:43:08
AssociatedEntity (ID = AE-1); (AUTHORITY = rulib)
Role
Copyright holder
Name
Rebecca Flint
Affiliation
Rutgers University. Graduate School - New Brunswick
AssociatedObject (ID = AO-1); (AUTHORITY = rulib)
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.
Back to the top

Technical

ContentModel
ETD
MimeType (TYPE = file)
application/pdf
MimeType (TYPE = container)
application/x-tar
FileSize (UNIT = bytes)
8089600
Checksum (METHOD = SHA1)
6cffa0f5a4d0abdd358310da6d6b655f153f64f4
Back to the top
Version 8.4.8
Rutgers University Libraries - Copyright ©2022