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arXiv · 1008.2312

Hidden dimer order in the quantum compass model

Wojciech Brzezicki·Andrzej M. Oleś
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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 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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Wojciech Brzezicki, Andrzej M. Oleś. 2010-08-13. Hidden dimer order in the quantum compass model. https://doi.org/10.1103/physrevb.82.060401

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