Bulletin of the American Physical Society
APS March Meeting 2011
Volume 56, Number 1
Monday–Friday, March 21–25, 2011; Dallas, Texas
Abstract: C1.00123 : Trial Wavefunctions and Ground State Energies of Some Non-Laughlin Correlated Quantum Hall Systems
Author:
In the lowest Landau level (LL0), incompressible quantum liquid
(IQL) states occur at the Laughlin-Jain sequence of filling
factors $\nu = n (2 p n \pm 1)^{-1}$, where n and p are positive
integers. In all of these states, Laughlin correlations
(avoidance of pair states with the largest repulsion) are the
cause. In the first excited Landau level (LL1), IQL states occur
at $\nu' = \nu - 2 = 1/2$. This state and daughter states of
Laughlin quasiparticles with $\nu_{QE} = 1/3$ cannot be caused by
Laughlin correlations. Paired states described by the Moore-Reed
Pfaffian wavefunction and by a novel wavefunction with different
pairing correlations are studied as candidate wavefunctions. The
energy of each of these states is evaluated analytically for an
arbitrary pair pseudopotential $V(L_2)$, where $L_2$ is the pair
angular momentum. Explicit results are derived for a six particle
system. The generalization to N particle systems is proposed and
compared for both trial functions.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2011.MAR.C1.123
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