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Browsing by Subject "spin liquid"

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    Identifying a Kitaev Spin Liquid
    (2016-12) Perreault, Brent
    The search for quantum spin liquid (QSL) physics has been long and storied, but alpha-RuCl3 and the iridates A2IrO3 have opened up the possibility of realizing a new family of "Kitaev" quantum spin liquids. The Kitaev honeycomb model is a highly anisotropic quadratic spin model that has an exact QSL ground state. We study the Kitaev model on a variety of 3D lattices with the goal of identifying characteristic signatures of its QSL phase. We use the exact solution to demonstrate several features of the Kitaev QSL both quantitative and qualitative. These include broad Raman spectra characteristic of the fractionalized excitations and rich momentum-dependent RIXS spectra. We discuss how these measurements can probe novel features of these QSL's. For example, topological surface modes accessible to Brillouin scattering, and Landau level peaks in Raman spectra on carefully strained honeycomb flakes. In addition, the technical underpinnings of these calculations are reviewed in detail. Specifically, the theoretical predictions are completed with considerations of the effects of perturbations, finite temperature studies, and careful analysis of the experimental excitations.
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    MATLAB Code: Raman Scattering Intensity for Quadratic Hamiltonians
    (2015-09-14) Perreault, Brent M; perre035@umn.edu; Perreault, Brent
    These are codes were used to generate the Raman scattering intensity spectra of Kitaev Spin Liquid models using the Loudon-Fleury approach. In its most basic form this code diagonalizes a quadratic fermionic Hamiltonian and computes the spectra by constructing the Raman operator, using the eigenfunctions to compute matrix elements, and the eigenvalues to plot the spectrum as a function of energy. Variants are included that consider 2D and 3D lattices, finite systems, as well as the resonant Raman scattering. Neither interactions nor the bosonic case are considered.