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Quantum Phase Transitions beyond Ginzburg-Landau theory
Quantum Phase Transitions beyond Ginzburg-Landau theory
- Topological phase transitions driven by anyon condensation
- Symmetry breaking in topological phase transitions
- Deconfined quantum criticality between symmetry protected topological phases
Recent highlights:
Recent highlights:
- Spontaneous symmetry breaking from anyon condensation (arXiv:1811.00434)
In collaboration with Dave Penneys and Corey Jones at Math@OSU, and Marcel Bichoff at Math@Ohio Univ., we prove a few theorems on quantum phase transitions between symmetry enriched topological orders (SETOs) driven by anyon condensation. We show that certain anyon condenstation transitions will enforce certain symmetries to spontaneously break in the SETO, and provide sufficient conditions for these symmetry breakings. These theorems allow us to construct a road map to neighboring phases of a given SETO.
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