Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)
We find a series of possible continuous quantum phase transitions between fractional quantum Hall states at the same filling fraction in two-component quantum Hall systems. These can be driven by tuning the interlayer tunneling and/or interlayer repulsion. One side of the transition is the Halperin (p,p,p-3) Abelian two-component state, while the other side is the non-Abelian Z{sub 4} parafermion (Read-Rezayi) state. We predict that the transition is a continuous transition in the 3D Ising class. The critical point is described by a Z{sub 2} gauged Ginzburg-Landau theory. These results have implications for experiments on two-component systems at {nu}=2/3 and single-component systems at {nu}=8/3.
- OSTI ID:
- 21541739
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 21 Vol. 105; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
Similar Records
Clustering Properties and Model Wave Functions for Non-Abelian Fractional Quantum Hall Quasielectrons
Properties of Non-Abelian Fractional Quantum Hall States at Filling {nu}=k/r