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    Phase diagram for the S equals one-half and J equals three-halves Kondo lattice model

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    Genre
    Thesis/Dissertation
    Date
    2018
    Author
    Abele, Miguel
    Advisor
    Riseborough, Peter
    Committee member
    Iavarone, Maria
    Metz, Andreas
    Matsika, Spiridoula
    Department
    Physics
    Subject
    Physics, Condensed Matter
    Theoretical Physics
    3d
    J Equals Three-halves
    Kondo Model
    Lattice
    Mean-field
    Phase Diagram
    Permanent link to this record
    http://hdl.handle.net/20.500.12613/625
    
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    DOI
    http://dx.doi.org/10.34944/dspace/607
    Abstract
    A Kondo lattice Hamiltonian for arbitrary total angular momentum J is formulated using a pseudofermion representation and without addition of RKKY interaction terms. An Hartree-Fock treatment is applied, and both variational and Green's function methods are used to calculate physical quantities from the linearized Hamiltonian. The Kondo phase is represented by finite hybridization. Magnetic ordering is examined via ordering vectors, but coexistence with the Kondo phase is not allowed. Phase diagrams are produced in S=1/2 and J=3/2 with second-order transitions at Kondo-paramagnetic and magnetic-paramagnetic boundaries, and first order transitions between Kondo and magnetic phases. Various coupling strengths are explored. Magnetic phases found include antiferromagnetism, ferromagnetism, and spin-density wave ordering of both commensurate and incommensurate varieties. In S=1/2, the magnetic phase exhibits a spike in critical temperature at half-filling. In J=3/2, the Kondo phase is reentrant at weaker coupling but not at stronger coupling.
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