English

Reconstructing the electron in a fractionalized quantum fluid

Mesoscale and Nanoscale Physics 2009-11-10 v1

Abstract

The low energy physics of the fractional Hall liquid is described in terms quasiparticles that are qualitatively distinct from electrons. We show, however, that a long-lived electron-like quasiparticle also exists in the excitation spectrum: the state obtained by the application of an electron creation operator to a fractional quantum Hall ground state has a non-zero overlap with a complex, high energy bound state containing an odd number of composite-fermion quasiparticles. The electron annihilation operator similarly couples to a bound complex of composite-fermion holes. We predict that these bound states can be observed through a conductance resonance in experiments involving a tunneling of an external electron into the fractional quantum Hall liquid. A comment is made on the origin of the breakdown of the Fermi liquid paradigm in the fractional hall liquid.

Keywords

Cite

@article{arxiv.cond-mat/0412333,
  title  = {Reconstructing the electron in a fractionalized quantum fluid},
  author = {Jainendra K. Jain and Michael R. Peterson},
  journal= {arXiv preprint arXiv:cond-mat/0412333},
  year   = {2009}
}

Comments

5 pages, 2 figures

R2 v1 2026-07-22T11:11:29.255Z