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Classical and quantum properties of variable-coordination number Josephson junction arrays
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Paramanandam, Joshua. Classical and quantum properties of variable-coordination number Josephson junction arrays. Retrieved from https://doi.org/doi:10.7282/T3CR5WB7

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TitleClassical and quantum properties of variable-coordination number Josephson junction arrays
NameParamanandam, Joshua (author); Gershenson, Michael (chair); Chandra, Premi (internal member); Andrei, Eva (internal member); Gawiser, Eric (internal member); Valles, James (outside member); Rutgers University; Graduate School - New Brunswick
Date Created2015
Other Date2015-10 (degree)
SubjectPhysics and Astronomy, Phase transformations (Statistical physics), Josephson junctions
Extent1 online resource (xix, 214 p. : ill.)
DescriptionJosephson 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
NotePh.D.
NoteIncludes bibliographical references
Noteby Joshua Paramanandam
Genretheses, ETD doctoral
Persistent URLhttps://doi.org/doi:10.7282/T3CR5WB7
Languageeng
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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