English

Splitting of roton minimum in the \nu=5/2 Moore-Read state

Mesoscale and Nanoscale Physics 2013-02-11 v2 Strongly Correlated Electrons

Abstract

We calculate the dynamical structure factor of the \nu=5/2 non-abelian quantum Hall state in the dipole approximation, valid for large momenta. Due to the fact that both quasi-particles (qps) and quasi-holes (qhs) have an internal Majorana degree of freedom, a qp-qh pair has a fermionic degree of freedom which can be either empty or occupied, and leads to a splitting of the roton mode. Observation of this splitting by means of finite wavelength optical spectroscopy could provide evidence for Majorana modes in the \nu=5/2 quantum Hall state.

Keywords

Cite

@article{arxiv.1106.3311,
  title  = {Splitting of roton minimum in the \nu=5/2 Moore-Read state},
  author = {Anthony R. Wright and Bernd Rosenow},
  journal= {arXiv preprint arXiv:1106.3311},
  year   = {2013}
}

Comments

8 pages including Supp. Mat., 3 figures