Abstract:
Metastable states with surprising properties abound in Hilbert space. Are there Kitaev type metastable spin liquid states, in spin systems, which have FM/AFM ordered ground states ? After a short introduction to exactly solvable anisotropic spin-half Kitaev Hamiltonian on the Honeycomb lattice we study isotropic spin-half Heisenberg models in honeycomb lattice. We show presence of metastable Kitaev type spin liquids, which possess 3-sublattice and 2-spin nematic long range order. This spontaneous symmetry broken state supports Goldstone like Fermionic collective modes. A method, symmetric decomposition of Hamiltonians, is introduced to look for designer metalstable phases. Relevance to real experimental systems will be pointed out.