Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1596126 | Solid State Communications | 2006 | 9 Pages |
Abstract
A system of Fermions in a shell of angular momentum l can form a set of multiplets of total angular momentum L. The composite Fermion (CF) picture picks out the lowest lying energy multiplets by selecting from this set a subset that is “Laughlin correlated”, i.e. which maximally avoids pair orbits with the largest pair angular momentum Lâ² (or smallest relative angular momentum R=2lâLâ²). We demonstrate that Laughlin correlations occur only when the pseudopotential V(Lâ²) (the interaction energy of a pair as a function of Lâ²) increases with Lâ² more rapidly, than the eigenvalue of Lâ²2 at the value of Lâ² (or R) avoided in the Laughlin correlated state. This requirement is not satisfied for QEs and QHs of the Laughlin ν=1/3 and ν=1/5 states at R=1 and R=3 respectively. At νQE=1/3 and νQH=1/5, clustering of QPs gives lower energy than Laughlin correlations. Novel spin polarized incompressible states at ν=4/11 and ν=4/13 cannot be explained as a second generation in the CF hierarchy.
Related Topics
Physical Sciences and Engineering
Materials Science
Materials Science (General)
Authors
John J. Quinn, Jennifer J. Quinn,