Modelling Two-Roton Bound State Formation in Fractional Quantum Hall System
Mesoscale and Nanoscale Physics
2019-05-15 v2
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.
Keywords
Cite
@article{arxiv.cond-mat/0012241,
title = {Modelling Two-Roton Bound State Formation in Fractional Quantum Hall System},
author = {Tarun Kanti Ghosh and G. Baskaran},
journal= {arXiv preprint arXiv:cond-mat/0012241},
year = {2019}
}
Comments
4 pages, REVTEX file, 3 figures, Minor changes, Accepted for publication in Physical Review Letters