We investigate, using finite size numerical calculations, the spin-polarized fractional quantum Hall effect (FQHE) in the first excited Landau level (LL). We find evidence for the existence of an incompressible state at v = 7 3 = 2 + 1 3, but not at v = 2 + 2 5. Surprisingly, the 7 3 state is found to be strongest at a finite thickness. The structure of the low-lying excited states is found to be markedly different from that in the lowest LL. This study also rules out FQHE at a large number of odd-denominator fractions in the lowest LL.
All Science Journal Classification (ASJC) codes
- Condensed Matter Physics
- Materials Chemistry