Modelling Two-Roton Bound State Formation in Fractional Quantum Hall System

Abstract

Composite Fermion approach using extensive and parallalized numerical analysis has recently established a two-roton bound state as the lowest energy long wavelength neutral excitation of FQHE for finite particle (N~30) system. By focussing on the "oriented dipole" character of magneto roton, we model the two roton problem and solve it variationally (analytically) to find a two-roton bound state with binding energy which is in good agreement with the composite fermion numerical results.

4 pages, REVTEX file, 3 figures, Minor changes, Accepted for publication in Physical Review Letters

References in corpus (2)

• Inelastic Light Scattering by Gap Excitations of Fractional Quantum Hall States at 1/3 <= ν<= 2/3
• Two-Roton Bound State in the Fractional Quantum Hall Effect

Cited by in corpus (6)

• Splitting of Long-Wavelength Modes of the Fractional Quantum Hall Liquid at $\nu =1/3$
• A new collective mode in the fractional quantum Hall liquid
• Analytic exposition of the graviton modes in fractional quantum Hall effects and its physical implications
• Shape of the magnetoroton at $\nu =1/3$ and $\nu =7/3$ in real samples
• Unified hydrodynamics theory of the lowest Landau level
• Splitting of Girvin-MacDonald-Platzman density wave and the nature of chiral gravitons in fractional quantum Hall effect