Compass-Heisenberg Model on the Square Lattice : Spin Order and Excitations

Details Compass-Heisenberg Model on the Square Lattice : Spin Order and Excitations Compass-Heisenberg Model on the Square Lattice : Spin Order and Excitations

2010-05-10

arxiv.org/abs/1005.1508v4

EPL 91, 40005 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 5 figures

Scientific paper

We explore the physics of the anisotropic compass model under the influence of perturbing Heisenberg interactions and present the phase diagram with multiple quantum phase transitions. The macroscopic ground state degeneracy of the compass model is lifted in the thermodynamic limit already by infinitesimal Heisenberg coupling, which selects different ground states with Z_2 symmetry depending on the sign and size of the coupling constants --- then low energy excitations are spin waves, while the compass states reflecting columnar order are separated from them by a macroscopic gap. Nevertheless, nanoscale structures relevant for quantum computation purposes may be tuned such that the compass states are the lowest energy excitations, thereby avoiding decoherence, if a size criterion derived by us is fulfilled.

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