Oblique Confinement and Phase Transitions in Chern-Simons Gauge Theories

Details Oblique Confinement and Phase Transitions in Chern-Simons Gauge Theories Oblique Confinement and Phase Transitions in Chern-Simons Gauge Theories

1994-07-16

arxiv.org/abs/cond-mat/9407073v1

Phys.Rev.Lett. 75 (1995) 3517-3520

Physics

Condensed Matter

8 pages, harvmac, DFUPG 91/94 and MPI-PhT/94-92

Scientific paper

10.1103/PhysRevLett.75.3517

We investigate non-perturbative features of a planar Chern-Simons gauge theory modeling the long distance physics of quantum Hall systems, including a finite gap M for excitations. By formulating the model on a lattice, we identify the relevant topological configurations and their interactions. For M bigger than a critical value, the model exhibits an oblique confinement phase, which we identify with Lauglin's incompressible quantum fluid. For M smaller than the critical value, we obtain a phase transition to a Coulomb phase or a confinement phase, depending on the value of the electromagnetic coupling.

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