Symanzik's Method Applied To The Fractional Quantum Hall Edge States
arXiv:0804.0164 · doi:10.1002/andp.200810323
Abstract
In this paper we consider an abelian Chern-Simons theory with plane boundary and we show, following Symankiz's quite general approach, how the known results for edge states in the Laughlin series can be derived in a systematic way by the separability condition. Moreover we show that the conserved boundary currents find a natural and explicit interpretation in terms of the continuity equation and the Tomonaga-Luttinger commutation relation for electronic density is recovered.
13 pages
References in corpus (6)
- Liquid Crystal Phases of Quantum Hall Systems
- Impurity scattering and transport of fractional Quantum Hall edge state
- Edge reconstruction in the fractional quantum Hall regime
- Conformal Symmetry and Universal Properties of Quantum Hall States
- Field Theoretical Description of Quantum Hall Edge Reconstruction
- Universal structure of the edge states of the fractional quantum Hall states
Cited by in corpus (12)
- Non-Abelian BF theory for 2+1 dimensional topological states of matter
- Maxwell-Chern-Simons Theory With Boundary
- Holography in flat spacetime: 4D theories and electromagnetic duality on the border
- 3D Dynamics of 4D Topological BF Theory With Boundary
- Covariant fracton gauge theory with boundary
- New point-like sources and a conducting surface in Maxwell-Chern-Simons electrodynamics
- From Chern-Simons to Tomonaga-Luttinger
- Holographic reduction of Maxwell-Chern-Simons theory
- Higher order derivatives extension of Maxwell-Chern-Simons electrodynamics in the presence of field sources and material boundaries
- Conserved chiral currents on the boundary of 3D Maxwell theory
- Towards a new proposal for the time delay in gravitational lensing
- Notes from the bulk: metric dependence of the edge states of Chern-Simons theory