Document Type
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BL
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Record Number
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649961
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Doc. No
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dltt
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Main Entry
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Knolle, Johannes
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Title & Author
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Dynamics of a quantum spin liquid /\ Johannes Knolle
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Series Statement
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Springer theses
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Page. NO
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1 online resource (xv, 140 pages) :: illustrations (some color).
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ISBN
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9783319239538
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: 3319239538
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9783319239514
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Notes
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"Doctoral thesis accepted by the Max Planck Institute for the Physics of Complex Systems, Dresden, Germany."
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Bibliographies/Indexes
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Includes bibliographical references
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Contents
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Introduction -- Kitaev's Honeycomb Lattice Model -- Dynamic Spin Correlations -- Mapping to a Quantum Quench -- Results for the Structure Error -- Non-Abelian Phase and the Effect of Disorder -- Raman Scattering -- Conclusion and Outlook -- Appendix A: Pfaffians from Path Integrals -- Appendix B: X-Ray Edge and Singular Integral Equations -- Appendix C: Exact Diagonalization of Four Dimers -- Appendix D: Calculation of Matrix Elements
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Abstract
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This thesis presents an exact theoretical study of dynamical correlation functions in different phases of a two-dimensional quantum spin liquid. By calculating the dynamical spin structure factor and the Raman scattering cross section, this thesis shows that there are salient signatures--qualitative and quantitative--of the Majorana fermions and the gauge fluxes emerging as effective degrees of freedom in the exactly solvable Kitaev honeycomb lattice model. The model is a representative of a class of spin liquids with Majorana fermions coupled to Z2 gauge fields. The qualitative features of the response functions should therefore be characteristic for this broad class of topological states
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Subject
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Quantum theory.
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Subject
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Quantum liquids.
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Dewey Classification
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530.12
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LC Classification
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QC174.12
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Added Entry
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Ohio Library and Information Network.
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