Excitation and tunneling spectra of a fractional quantum Hall system in the thin-cylinder limit
Abstract
The excitations of fractional quantum Hall effect (FQHE) states have been largely inaccessible to experimental probes until recently. New electron scanning tunneling microscopy (STM) results from Hu et.al. (arXiv:2308.05789) show promise in detecting and identifying these excited states via the local density of states (LDOS) spectrum. On a torus, there exists a mapping {from the lowest Landau level states} to a 1D lattice {with a Hamiltonian that features} dipole moment conservation. In this work, we apply perturbation theory starting from the thin cylinder limit ($L_x \rightarrow \infty, L_y
Fields of Study & Subjects
Quantum and electron transport phenomena
Topological Materials and Phenomena
Semiconductor Quantum Structures and Devices
Publication details
- Journal / source
- Physical review. B./Physical review. B
- Volume
- 113
- Issue
- 7
- Publication date
- 20 January 2026
- Language
- EN