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Exact quantum spin liquids with Fermi surfaces in spin-half models
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An emergent Fermi surface in a Mott insulator, an exotic quantum spin liquid state, was suggested by Anderson in 1987. After a quick support for its existence in spin-half Heisenberg model in a square lattice in a RVB mean field theory, pseudo Fermi surface was found only recently in an exactly solvable spin-3/2 model by Yao, Zhang and Kivelson. We show that a minimal spin-half Kitaev model on a decorated square lattice exhibits a Fermi surface. Volume and shape of the Fermi surface change with exchange couplings or on addition of a 3 spin interaction terms.
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Cited by 2 Pith papers
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Frustrated magnetic order in hybrid Kitaev spin-orbital models
Hybrid Kitaev-Yao-Lee models on common lattices produce magnetic order in spins while preserving orbital topological order, and regain exact solvability when Yao-Lee and square-lattice couplings are equal and opposite.
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Visons in Kitaev Spin Liquids with Majorana Fermi Surfaces
Visons in Kitaev models with Majorana Fermi surfaces have a gap that decreases with Fermi surface size, indicating quantum spin liquid instability.
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