Hidden dimer order in the quantum compass model

Details Hidden dimer order in the quantum compass model Hidden dimer order in the quantum compass model

2010-08-13

arxiv.org/abs/1008.2312v1

Physical Review B 82, 060401(R), 2010

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures

Scientific paper

10.1103/PhysRevB.82.060401

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 and in the ground state, which is independent of the actual interactions. This order coexists with Ising-type spin correlations which decay with distance.

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