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Topological Transitions in Spin Glass Systems

Boyal, Prasun (2017) Topological Transitions in Spin Glass Systems. Masters thesis, Indian Institute of Science Education and Research Kolkata.

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    Abstract

    Spin glass systems has been studied. The difference between a disordered state and a traditional ordered state is discussed. The proper order parameter for a spin glass system is defined. The necessary condition for a system to show a glassy behaviour is investigated. Then a simple model having those conditions, namely the Sherrington-Kirkpatrick model is studied in details. Parisi's exact solution through replica symmetry method has been studied. Next topological aspect of a disordered system is looked upon. Defining various topological invariant operator, we studied particular topological invariances that a Hamiltonian possess. Using these topological invariances, we argue the presence of steps in transverse magnetization. These arguments are supported with exact diagonalisation results.

    Item Type: Thesis (Masters)
    Additional Information: Supervisor: Dr. Siddhartha Lal
    Uncontrolled Keywords: Disordered System; Spin Glass Systems; Topological Transition
    Subjects: Q Science > QC Physics
    Divisions: Department of Physical Sciences
    Depositing User: IISER Kolkata Librarian
    Date Deposited: 30 Oct 2018 16:23
    Last Modified: 30 Oct 2018 16:24
    URI: http://eprints.iiserkol.ac.in/id/eprint/643

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