Correlation function diagnostics for type-I fracton phases
Physical Review B: Condensed Matter and Materials Physics American Physical Society 97 (2018) 041110
Abstract:
Fracton phases are recent entrants to the roster of topological phases in three dimensions. They are characterized by subextensively divergent topological degeneracy and excitations that are constrained to move along lower dimensional subspaces, including the eponymous fractons that are immobile in isolation. We develop correlation function diagnostics to characterize Type I fracton phases which build on their exhibiting partial deconfinement. These are inspired by similar diagnostics from standard gauge theories and utilize a generalized gauging procedure that links fracton phases to classical Ising models with subsystem symmetries. En route, we explicitly construct the spacetime partition function for the plaquette Ising model which, under such gauging, maps into the X-cube fracton topological phase. We numerically verify our results for this model via Monte Carlo calculations.Order by disorder and by doping in quantum Hall valley ferromagnets
Physical Review B American Physical Society (APS) 93:1 (2016) 014442
Fractional quantum Hall physics in topological flat bands
Comptes Rendus Physique Cellule MathDoc/CEDRAM 14:9-10 (2013) 816-839
Kibble-Zurek scaling and string-net coarsening in topologically ordered systems.
Journal of physics. Condensed matter : an Institute of Physics journal 25:40 (2013) 404214
Abstract:
We consider the non-equilibrium dynamics of topologically ordered systems driven across a continuous phase transition into proximate phases with no, or reduced, topological order. This dynamics exhibits scaling in the spirit of Kibble and Zurek but now without the presence of symmetry breaking and a local order parameter. The late stages of the process are seen to exhibit a slow, coarsening dynamics for the string-net that underlies the physics of the topological phase, a potentially interesting signature of topological order. We illustrate these phenomena in the context of particular phase transitions out of the Abelian Z2 topologically ordered phase of the toric code/Z2 gauge theory, and the non-Abelian SU(2)k ordered phases of the relevant Levin-Wen models.Microscopic theory of a quantum Hall Ising nematic: Domain walls and disorder
Physical Review B American Physical Society (APS) 88:4 (2013) 045133