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Classical and quantum properties of variable-coordination number Josephson junction arrays

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Title
Classical and quantum properties of variable-coordination number Josephson junction arrays
Name (type = personal)
NamePart (type = family)
Paramanandam
NamePart (type = given)
Joshua
NamePart (type = date)
1980-
DisplayForm
Joshua Paramanandam
Role
RoleTerm (authority = RULIB)
author
Name (type = personal)
NamePart (type = family)
Gershenson
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Michael
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Michael Gershenson
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Advisory Committee
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chair
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Chandra
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Premi
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Premi Chandra
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Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Andrei
NamePart (type = given)
Eva
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Eva Andrei
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Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Gawiser
NamePart (type = given)
Eric
DisplayForm
Eric Gawiser
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Valles
NamePart (type = given)
James
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James Valles
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
outside member
Name (type = corporate)
NamePart
Rutgers University
Role
RoleTerm (authority = RULIB)
degree grantor
Name (type = corporate)
NamePart
Graduate School - New Brunswick
Role
RoleTerm (authority = RULIB)
school
TypeOfResource
Text
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theses
OriginInfo
DateCreated (encoding = w3cdtf); (qualifier = exact)
2015
DateOther (qualifier = exact); (type = degree)
2015-10
CopyrightDate (encoding = w3cdtf); (qualifier = exact)
2015
Place
PlaceTerm (type = code)
xx
Language
LanguageTerm (authority = ISO639-2b); (type = code)
eng
Abstract (type = abstract)
Josephson junction arrays are a quintessential platform which has been widely used in the study a wide range of problems in classical and quantum dynamics. In this thesis, we introduce a Josephson lattice with a new topology which allows the adjustment of the coordination number. For large coordination numbers, the lattice is amenable to mean field predictions. We have employed this lattice to study classical phase transitions. The lattice has been studied by Monte-Carlo simulations to determine TC. The experimental deter mination of TC agrees with numerical studies and are close to the mean field predictions. We have also studied the magnetic field dependence of the transition temperatures using a tight-binding model. The experimental results agree fairly well with the results of numerical calculations. The classical dynamics of this lattice has been simulated with RCSJ model and are compared with the switching dynamics of the array. We have studied both zero field and field-tuned quantum phase transitions the VZN lattice. The zero-field transition occurs at a critical value of the control parameter g smaller than the disorder-free case. When frustrated by the magnetic field, the arrays demonstrated several quantum phase transitions at different critical values of the resistance between RC = 3 − 10kΩ, which is in line with earlier observations. In particular, with increasing B we observed transitions between three states: a) the superconducting state with zero R, b) the metallic state with a weak R dependence on T in the range 0.05K<T<0.2K, and c) the insulating state with an activation dependent R(T). From studies of magnetic field dependences of TC(f), we can state that the origin of the intermediate metallic state is due to the vortex liquid phase. In this sense, we do not observe the intermediate metallic state observed in all prior experiments on 2D Josephson arrays. The activation energy, extracted from the current-voltage characteristics and the Arrhenius fitting of R(T) in the insulating regime, has been studied as a function of the temperature and the magnetic field. This data together with a suppressed critical point suggest the possible development of a strongly inhomogeneous state in the vicinity of the superconducting-to-insulating transition.
Subject (authority = RUETD)
Topic
Physics and Astronomy
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_6622
PhysicalDescription
Form (authority = gmd)
electronic resource
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
1 online resource (xix, 214 p. : ill.)
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
Subject (authority = ETD-LCSH)
Topic
Phase transformations (Statistical physics)
Subject (authority = ETD-LCSH)
Topic
Josephson junctions
Note (type = statement of responsibility)
by Joshua Paramanandam
RelatedItem (type = host)
TitleInfo
Title
Graduate School - New Brunswick Electronic Theses and Dissertations
Identifier (type = local)
rucore19991600001
Location
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NjNbRU
Identifier (type = doi)
doi:10.7282/T3CR5WB7
Genre (authority = ExL-Esploro)
ETD doctoral
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The author owns the copyright to this work.
RightsHolder (type = personal)
Name
FamilyName
Paramanandam
GivenName
Joshua
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2015-07-15 22:11:35
AssociatedEntity
Name
Joshua Paramanandam
Role
Copyright holder
Affiliation
Rutgers University. Graduate School - New Brunswick
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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.
RightsEvent
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2015-10-31
DateTime (encoding = w3cdtf); (qualifier = exact); (point = end)
2016-05-01
Type
Embargo
Detail
Access to this PDF has been restricted at the author's request. It will be publicly available after May 1st, 2016.
Copyright
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Copyright protected
Availability
Status
Open
Reason
Permission or license
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windows xp
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