Tunneling gap of laterally separated quantum Hall states
arXiv:cond-mat/0106001 · doi:10.1103/PhysRevB.65.121304
Abstract
We use a method of matched asymptotics to determine the energy gap of two counter-propagating, strongly interacting, quantum Hall edge states. The microscopic edge state dispersion and Coulomb interactions are used to precisely constrain the short-distance behavior of an integrable field theory, which then determines the low energy spectrum. We discuss the relationship of our results to the tunneling measurements of Kang et al., Nature 403, 59 (2000).
arXiv comment4 pages, 1 figure
References in corpus (5)
- Exact expectation values of local fields in quantum sine-Gordon model
- Tunneling between the Edges of Two Lateral Quantum Hall Systems
- Interedge Phase Coherence in Quantum Hall Line Junctions
- Oscillatory Tunneling between Quantum Hall Systems
- Bosonization Theory of Excitons in One-dimensional Narrow Gap Semiconductors
Cited by in corpus (22)
- Mechanism of High Temperature Superconductivity in a striped Hubbard Model
- The structure of a single sharp quantum Hall edge probed by momentum-resolved tunneling
- Inter-edge interactions and novel fixed points at a junction of quantum Hall line junctions
- Inter edge Tunneling in Quantum Hall Line Junctions
- Cascade of Quantum Phase Transitions in Tunnel-Coupled Edge States
- Conductance oscillations in strongly correlated fractional quantum Hall line junctions
- Line junction in a quantum Hall system with two filling fractions
- Quantum Hall line junction with impurities as a multi-slit Luttinger liquid interferometer
- Strongly Correlated Fractional Quantum Hall Line Junctions
- Double point contact in Quantum Hall Line Junctions
- Edge Magnetoplasmons in Quantum Hall Line Junction Systems
- Quantum railroads and directed localization at the juncture of quantum Hall systems
- Hopping conduction in strongly insulating states of a diffusive bent quantum Hall junction
- Tunneling in Fractional Quantum Hall line junctions
- Calculation and spectroscopy of the Landau band structure at a thin and atomically precise tunneling barrier
- Electrostatics of Edge States of Quantum Hall Systems with Constrictions: Metal--Insulator Transition Tuned by External Gates
- Interaction Effects and Pseudogap in Two-Dimensional Lateral Tunnel Junctions
- Explanation of the tunneling phenomena between the edges of two lateral quantum Hall systems
- AC conductivity of a quantum Hall line junction
- Bound states induced giant oscillations of the conductance in the quantum Hall regime
- Tunneling between Two Quantum Hall Droplets
- Laterally coupled and field-induced quantum Hall systems