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Inverse limits and full families /Fassett, Jonathon E. January 2001 (has links)
Thesis (Ph. D.)--Oregon State University, 2001. / Typescript (photocopy). Includes bibliographical references (leaves 56-58). Also available on the World Wide Web.
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Inverse limits and full familiesFassett, Jonathon E. 30 April 2001 (has links)
Graduation date: 2001
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Theoretical studies of topological DIII-class chains and Weyl semimetals / y Ting Mao, MSci. Nanjing UniversityMao, Ting, 毛汀 January 2015 (has links)
Topological insulators and superconductors, which are featured by not only the topological characteristics of their gapped bulk band structure but also the special edge or surface states, have attracted great attention in the past few years. A complete classification of topological insulators and superconductors in terms of symmetry and spatial dimension has been established, while the application of their surface states remains a challenge. The gapless phases which have topologically stable Fermi surfaces could also exhibit peculiar surface states and topological transport phenomena in the bulk. In this thesis, the topological DIII-classs superconducting chains and the application of its Majorana edge states are studied. On the other hand, Weyl semimetals, as the representative example of topological gapless phases, and its exotic transport phenomena are also investigated.
Majorana edge states have been a focus of condensed matter research for their potential applications in topological quantum computation, which appear in the topological DIII-class superconducting chains protected by both the particle-hole and time reversal symmetries. We utilize two charge-qubit arrays to explicitly simulate one type of DIII-class superconducting chains and the universal quantum operations performed on the Majorana edge states. It is shown that combined with one braiding operation, universal single-qubit operations on a Majorana-based qubit can be implemented by a controllable inductive coupling between two charge qubits at the ends of the arrays. It is further shown that in a similar way, a controlled-NOT gate for two topological qubits can be simulated in four charge-qubit arrays. Although the current scheme may not truly realize topological quantum operations, we elaborate that the operations in charge-qubit arrays are indeed robust against certain local perturbations.
Weyl semimetals possess nontrivial Fermi surface topology in that the pair of Weyl points with opposite topological charges is separated from each other in momentum space. The physical manifestations of this Fermi surface topology are protected surface states and exotic transport phenomena including the anomalous Hall effect as well as the chiral magnetic effect. By studying the path integral measure under the chiral transformation, it is shown that these transport phenomena can be described by the chiral anomaly which appears when the chiral Weyl fermion couples to the topologically nontrivial gauge field. The case of the gauge anomaly for the Weyl fermion coupled to a non-Abelian gauge field is also discussed. / published_or_final_version / Physics / Doctoral / Doctor of Philosophy
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Application on nonstandard analysis to dynamical systemsHomer, B. J. January 1988 (has links)
No description available.
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On the density of minimal free subflows of general symbolic flowsSeward, Brandon Michael. Gao, Su, January 2009 (has links)
Thesis (M.A.)--University of North Texas, August, 2009. / Title from title page display. Includes bibliographical references.
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Homoclinic tangencies and families of interval maps with non-constant topological entropyPederson, Steven M. 05 1900 (has links)
No description available.
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On ℓ²-homology of low dimensional buildingsBoros, Dan, January 2003 (has links)
Thesis (Ph. D.)--Ohio State University, 2003. / Title from first page of PDF file. Document formatted into pages; contains vi, 77 p. Includes abstract and vita. Advisor: Michael Davis, Dept. of Mathematics. Includes bibliographical references (p. 75-77).
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Scaling dependence on the fluid viscosity ratio in the selective withdrawal transition /Cohen, Itai. January 2001 (has links)
Thesis (Ph. D.)--University of Chicago, Dept. of Physics, 2001. / Includes bibliographical references. Also available on the Internet.
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Exploring global dynamics : a numerical algorithm based on the Conley index theoryEidenschink, Michael 08 1900 (has links)
No description available.
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Finite abelian group actions on orientable circle bundles over surfacesIbrahim, Caroline Maher Boulis. Heil, Wolfgang. January 2004 (has links)
Thesis (Ph. D.)--Florida State University, 2004. / Advisor: Dr. Wolfgang Heil, Florida State University, College of Arts and Sciences, Dept. of Mathematics. Title and description from dissertation home page (viewed Sept. 28, 2004). Includes bibliographical references.
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