Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational Monte Carlo Method in the Presence of Spin-Orbit Interaction
  and Its Application to the Kitaev and Kitaev-Heisenberg Model   We propose an accurate variational Monte Carlo method applicable in the
presence of the strong spin-orbit interaction. Our variational wave functions
consist of generalized Pfaffian-Slater wave functions that involve mixtures of
singlet and triplet Cooper pairs, Jastrow-Gutzwiller-type pro- jections, and
quantum number projections. The generalized wave functions allow any symmetry
breaking states, ranging from magnetic and/or charge ordered states to
superconducting states and their fluctuations, on equal footing without any ad
hoc ansatz for variational wave functions. We de- tail our optimization scheme
for the generalized Pfaffian-Slater wave functions with complex-number
variational parameters. Generalized quantum number projections are also
introduced, which im- poses the conservation of not only spin and momentum
quantum numbers but also Wilson loops. As a demonstration of the capability of
the present variational Monte Carlo method, the accuracy and efficiency of the
present method is tested for the Kitaev and Kitaev-Heisenberg models. The
Kitaev model serves as a critical benchmark of the present method: The exact
ground state of the model is a typical gapless quantum spin liquid far beyond
the applicability range of simple mean-field wave functions. The newly
introduced quantum number projections precisely reproduce the ground state
degeneracy of the Kitaev spin liquids, in addition to their ground state
energy. Our framework offers accurate solutions for the systems where strong
electron correlation and spin-orbit interaction coexist.

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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: math
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con