Interplay of Topological Order and Spin Glassiness in the Toric Code under Random Magnetic Fields

Details Interplay of Topological Order and Spin Glassiness in the Toric Code under Random Magnetic Fields Interplay of Topological Order and Spin Glassiness in the Toric Code under Random Magnetic Fields

2010-04-26

arxiv.org/abs/1004.4632v2

Phys.Rev.B83:075124,2011

Physics

Quantum Physics

7 pages, 4 figures; published version focusing on the topological spin glass phase and percolation properties of the rigid lat

Scientific paper

10.1103/PhysRevB.83.075124

We analyze the toric code model in the presence of quenched disorder, which is introduced via different types of random magnetic fields. In general, close to a quantum phase transition between a spin polarized phase and a topologically ordered one, we find that increasing the amount of disorder favors the topological phase. For some realizations of disorder, topological order can be robust against arbitrarily strong magnetic fields. In the case of the toric code in a random \pm h field, we show that the system exhibits a quantum phase transition to a spin glass phase in an appropriate dual variables description. The survival of topological order in the spin glass phase is directly related to the percolation properties of the rigid lattice in the Edwards-Anderson bimodal spin glass model. According to recent numerical results for this model [Phys. Rev. B 82, 214401 (2010)], it is likely that the rigid lattice does not percolate and, as a result, a new intermediate quantum phase appears in the random-field toric code. In this intermediate quantum phase, topological order coexists with spin glassiness.

Affiliated with

Also associated with

No associations

Rating

Interplay of Topological Order and Spin Glassiness in the Toric Code under Random Magnetic Fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Interplay of Topological Order and Spin Glassiness in the Toric Code under Random Magnetic Fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Interplay of Topological Order and Spin Glassiness in the Toric Code under Random Magnetic Fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-236178