Excitation and tunneling spectra of a fractional quantum Hall system in the thin cylinder limit

2025/07/28 by Adhidewata, Jyesta M., Moore, Joel E.
#FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Strongly Correlated Electrons (cond-mat.str-el)

paper · doi:10.48550/arxiv.2507.21375

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. (2023) show promise in detecting and identifying these excited states via the local density of states (LDOS) spectrum. On a torus, there exists a mapping to a 1D lattice Hamiltonian with center-of-mass or dipole moment conservation. In this work, we apply perturbation theory starting from the thin cylinder limit (L_x → ∞, L_y

Citations

• The charge gap is greater than the neutral gap in fractional quantum Hall systems
• Emergent Fracton Hydrodynamics of Ultracold Atoms in Partially Filled Landau Levels
• Scaling and localization in multipole-conserving diffusion
• Thin-Torus Limit of Fractional Topological Insulators
• Half-Filled Lowest Landau Level on a Thin Torus
• The Quantum Hall Effect: Novel Excitations and Broken Symmetries
• Tunneling into a two-dimensional electron system in a strong magnetic field

Related

• Fractional quantum Hall states by Feynman's diagrammatic expansion
• Probing fractional quantum Hall effect by photoluminescence
• Developments in the Theory of the Quantum Hall Effect, Proceedings of the 1994 Vancouver Semiconductor Conference
• Exploring the fractional quantum Hall effect with electron tunneling
• Probing Fractional Quantum Hall states in weakly interacting Fermi gases