Hidden dimer order in the quantum compass model
arXiv:1008.2312 · doi:10.1103/PhysRevB.82.060401
Abstract
We introduce an exact spin transformation that maps frustrated Z_{i,j}Z_{i,j+1} and X_{i,j}X_{i+1,j} spin interactions along the rows and columns of the quantum compass model (QCM) on an LxL square lattice to (L-1)x(L-1) quantum spin models with 2(L-1) classical spins. Using the symmetry properties we unravel the hidden dimer order in the QCM, with equal two-dimer correlations <X_{i,i}X_{i+1,i}X_{k,l}X_{k+1,l}> and <X_{i,i}X_{i+1,i}X_{l,k}X_{l+1,k}> in the ground state, which is independent of the actual interactions. This order coexists with Ising-type spin correlations which decay with distance.
4 pages, 4 figures
References in corpus (5)
- First order phase transition in the anisotropic quantum orbital compass model
- Orbital order in classical models of transition-metal compounds
- Monte Carlo simulations of the directional-ordering transition in the two-dimensional classical and quantum compass model
- Nature of the Quantum Phase Transition in Quantum Compass Model
- Topologically decoherence-protected qubits with trapped ions