English

Spinless basis for spin-singlet FQH states

Mesoscale and Nanoscale Physics 2015-03-20 v2 High Energy Physics - Theory

Abstract

We investigate an alternative description of the SU(M)-singlet FQH state by using the spinless basis. The SU(M)-singlet Halperin state is obtained via the q-deformation of the Laughlin state and its root of unity limit, by applying the Yangian Gelfand-Zetlin basis for the spin Calogero-Sutherland model. The squeezing rule for the SU(M) state is also investigated in terms of the spinless basis.

Cite

@article{arxiv.1201.1903,
  title  = {Spinless basis for spin-singlet FQH states},
  author = {Taro Kimura},
  journal= {arXiv preprint arXiv:1201.1903},
  year   = {2015}
}

Comments

1+17 pages, 2 figures; discussion in Sec 3.2 improved, published version

R2 v1 2026-06-21T20:02:20.834Z