Quantum disorder, duality, and fractional statistics in 2+1 dimensions
- 24 April 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 62 (17) , 1937-1940
- https://doi.org/10.1103/physrevlett.62.1937
Abstract
We discover a low-energy equivalence between two apparently unrelated Lagrangians with fractional statistics. Exploiting this equivalence, we are able to study the quantum disordered phase of the nonlinear σ model with Hopf term. We find that the quasiparticles in the disordered phase also have fractional statistics. There appears to be a dual relationship between the ordered and disordered phases.Keywords
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