I show the symmetries of the compass model and spin transformations making the Hamiltonian block‐diagonal. I present the new form of the Hamiltonian and explain how the diagonal blocks are related by translational symmetry and by the isotropy of interactions. I reveal the hidden symmetry of the lowest‐energy block and resulting identities in four‐point dimer‐dimer correlators. Using exact diagonalization I show that the ground state has classical order with local quantum fluctuation vanishing in a long range and that the energy spectrum consists of discrete and continuous part.
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Exact Properties of the Quantum Compass Model
Brzezicki, Wojciech
Follow AIP Conference Proceedings
, Volume 1419 (1)
American Institute of Physics – Dec 13, 2011
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