Groundstate energy and quasiparticle gaps in ν=N/(2N+/1) fractionalquantumHalleffect states
Abstract
Applying the transformation of fermion operators to the fermion quasiparticles introduced by Halperin, Lee, and Read, we estimate the scaling behavior of the groundstate energy and quasiparticle gaps as a function of filling fraction for a ``principal sequence'' of fractionalquantumHalleffect ν=N/(2N+/1) states converging towards the gapless state at half filling. The exponent describing the shape of the cusp δE(ν)~δν^{η} is found to be greater than 1 and to depend nontrivially on the interaction potential. The dependence of quasiparticle gaps agrees with the results of recent measurements by R. R. Du et al.
 Publication:

Physical Review B
 Pub Date:
 April 1994
 DOI:
 10.1103/PhysRevB.49.10514
 arXiv:
 arXiv:condmat/9401066
 Bibcode:
 1994PhRvB..4910514K
 Keywords:

 73.20.Dx;
 71.10.+x;
 Condensed Matter
 EPrint:
 15 pages, TeX, C Version 3.0, preprint ETHTH/9334