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MATLAB Code: Raman Scattering Intensity for Quadratic Hamiltonians

Perreault, Brent M (2015)

MATLAB Code: Raman Scattering Intensity for Quadratic Hamiltonians

2015-09-14

Dataset

Software Code

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.

The primary plots for the paper (available at http://arxiv.org/abs/1507.01639) and the paper that follows come mainly from calling the following functions: runner14_82, runner14_H1_r, runner14_H1_pi_r, runner14_weights_double_8, runner_H1_weights_pi, runner_H1_weights, run_script_2D_3, runit2D_weights_4. For the second paper the primary functions are runner_slab_max8_a1_6 and runit14_8_ac. The energies for the plots were found with GS_energies2. The other functions included in the folder are either called by these or are otherwise interesting. The zip archive cell defines functions for the cell class that mimics matrices and thereby gives an additional dimension (or set of dimensions) to the effective array made up of cell and array dimensions combined. The text file example_procedures provides steps for using the code.

Brent Perreault, Johannes Knolle, Natalia B. Perkins, F. J. Burnell. Theory of Raman response in three-dimensional Kitaev spin liquids: application to β− and γ−Li2IrO3 compounds. arXiv:1507.01639

Perreault, Brent M.
(2015). MATLAB Code: Raman Scattering Intensity for Quadratic Hamiltonians.
Retrieved from the Data Repository for the University of Minnesota,
http://dx.doi.org/10.13020/D6W888.

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