Exact solution to a class of generalized Kitaev spin-1/2 models in arbitrary dimensions |
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Authors: | JianJian Miao HuiKe Jin FuChun Zhang Yi Zhou |
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Institution: | Kavli Institute for Theoretical Sciences;Department of Physics;CAS Center for Excellence in Topological Quantum Computation;Collaborative Innovation Center of Advanced Microstructures;Beijing National Laboratory for Condensed Matter Physics&Institute of Physics |
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Abstract: | We construct a class of exactly solvable generalized Kitaev spin-1/2 models in arbitrary dimensions, which is beyond the category of quantum compass models. The Jordan-Wigner transformation is employed to prove the exact solvability. An exactly solvable quantum spin-1/2 model can be mapped to a gas of free Majorana fermions coupled to static Z_2 gauge fields. We classify these exactly solvable models according to their parent models. Any model belonging to this class can be generated by one of the parent models. For illustration, a two dimensional(2D) tetragon-octagon model and a three dimensional(3D) xy bond model are studied. |
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Keywords: | exactly solvable models Kitaev honeycomb model quantum spin liquid |
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