Studying the robustness of topological phases with iPEPS and pCUT methods

Seminar date and time: 
Monday, 21 May, 2012 - 09:30
Affiliation: 
Max Planck Institute for Quantum Optics
Author: 
Roman Orus
Location: 
IFAE seminar room

We investigate the stability of the topological phases of the Z2 and Z3 Toric Code models in the presence of uniform magnetic fields by means of infinite Projected Entangled Pair State algorithms (iPEPS) and perturbative Continuous Unitary Transformations (pCUT). We find that when the perturbation is strong enough, the system undergoes a topological phase transition whose first- or second-order nature depends on the field orientation and symmetry. The phase diagrams of these systems are explored, and we see that they offer a very rich behavior in terms of different universality classes and phase transitions breaking topological order.

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