# Robustness of 2d topological order and cluster states using classical simulations with infinite Projected Entangled Pair States

Roman Orus (MPQI, Garching)

29.06.2012 at 10:15

We investigate the stability of the topological phases of the Z2 and Z3 Toric Code models and the 2d Cluster State Hamiltonian in the presence of uniform magnetic fields by means of infinite Projected Entangled Pair State algorithms (iPEPS) and series expansion techniques. We find that when the perturbation is strong enough, the systems undergo a plethora of phase transitions whose first- or second-order nature depends on the field orientation and symmetry. The phase diagrams of these systems are investigated.

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