6533b820fe1ef96bd1279959
RESEARCH PRODUCT
Self-duality and periodicity at finite filling fraction
T D StanescuGh-s Paraoanusubject
Physical systemGeneral Physics and AstronomyDuality (optimization)Statistical and Nonlinear PhysicsGeometryFixed pointQuantum Hall effectSpace (mathematics)Symmetry (physics)Transformation (function)Topological orderMathematical PhysicsMathematicsMathematical physicsdescription
We investigate a model of interacting charged particles in two space dimensions, with manifest invariance under duality and periodicity under flux attachment. This model, introduced by Fradkin and Kivelson (1996 Nucl. Phys. B 474 543), shares many qualitative features of real quantum Hall systems. We extend this model to the case of finite filling fraction, i.e., to physical systems without particle–hole symmetry and without time-reversal invariance. We derive the transformation laws for the the average currents and prove that they have an SL (2, Z) symmetry. We can then calculate the filling factors at the modular fixed points and further explore the topological order of the model by constructing the hierarchy of states.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-03-10 | Journal of Physics A: Mathematical and General |