Electron correlations in partially filled lowest and excited Landau levels -: art. no. 125312

被引:45
|
作者
Wójs, A
机构
[1] Univ Tennessee, Dept Phys, Knoxville, TN 37996 USA
[2] Wroclaw Univ Technol, Inst Phys, PL-50370 Wroclaw, Poland
关键词
D O I
10.1103/PhysRevB.63.125312
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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 v = 5/2 state and in the v = 7/3 and 8/3 states, all having small total parentage from R = 1 and 3 large parentage from R = 5. The v = 7/3 and 8/3 states are different from Laughlin v = 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 v = 2 + 2/(q(2) + 2) = 8/3, 5/2, 12/5, and 7/3 is proposed, although only in the v = 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 v = 1 droplets to minimize the number of strongly repulsive pair states at R = 3 and 5.
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页数:10
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