Under Lindblad-type environmental coupling, the flux-free sector of the Kitaev honeycomb model relaxes to a maximally mixed state for most noise operators, its energy gap closes, and only the periodic Kitaev chain limit keeps a non-mixed steady state.
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Robustness of the flux-free sector of the Kitaev honeycomb against environment
Under Lindblad-type environmental coupling, the flux-free sector of the Kitaev honeycomb model relaxes to a maximally mixed state for most noise operators, its energy gap closes, and only the periodic Kitaev chain limit keeps a non-mixed steady state.