Electron correlations in partially filled lowest and excited Landau levels
The electron correlations near the half-filling of the lowest and excited Landau levels (LL's) are studied using numerical diagonalization. It is shown that in the low-lying states electrons avoid pair states with relative angular momenta R corresponding to positive anharmonicity of the interaction pseudopotential V(R). In the lowest LL, the superharmonic behavior of V(R) causes Laughlin correlations (avoiding pairs with R=1) and the Laughlin-Jain series of incompressible ground states. In the first excited LL, V(R) is harmonic at short range and a different series of incompressible states results. Similar correlations occur in the paired Moore-Read {nu}=5/2 state and in the {nu}=7/3 and 8/3 states, all having small total parentage from R=1 and 3 and large parentage from R=5. The {nu}=7/3 and 8/3 states are different from Laughlin {nu}=1/3 and 2/3 states and, in finite systems, occur at a different LL degeneracy (flux). The series of Laughlin-correlated states of electron pairs at {nu}=2+2/(q{sub 2}+2)=8/3, 5/2, 12/5, and 7/3 is proposed, although only in the {nu}=5/2 state pairing has been confirmed numerically. In the second excited LL, V(R) is subharmonic at short range and (near the half-filling) the electrons group into spatially separated larger {nu}=1 droplets to minimize the number of strongly repulsive pair states at R=3 and 5.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40205445
- Journal Information:
- Physical Review B, Vol. 63, Issue 12; Other Information: DOI: 10.1103/PhysRevB.63.125312; Othernumber: PRBMDO000063000012125312000001; 082112PRB; PBD: 15 Mar 2001; ISSN 0163-1829
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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