Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level
Beyond paired quantum Hall states: Parafermions and incompressible states in the first excited Landau level
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DOI：
10.1103/physrevb.59.8084
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发表时间：
1999-03-15
影响因子：
3.7
通讯作者：
Rezayi, E
中科院分区：
文献类型：
--
作者：
Read, N;Rezayi, E
Pfronan量子霍尔态，可以被看作是涉及自旋极化电子或复合费米子的配对，通过寻找具有k+ l体相互作用的某些哈密顿量的精确基态来推广，对于所有整数k大于或等于l。这些状态的波函数非常简单，涉及k粒子的簇，并且与二维共形场论中的parafermion电流的交换子有关。k=2的情况是Pfweian。当k大于或等于2时，这些系统的准粒子激发被期望具有非阿贝尔统计，就像Pfweian统计一样。当k=3时，在总填充因子v= 2 + 3/5，2 + 2/5时，这些基态与第一激发朗道能级电子的（两体）库仑相互作用哈密顿量的基态有很大的重叠. [S0163-1829（99）06911-8]
The Pfaffian quantum Hall states, which can be viewed as involving pairing either of spin-polarized electrons or of composite fermions, are generalized by finding the exact ground states of certain Hamiltonians with k+l-body interactions, for all integers k greater than or equal to l. The remarkably simple wave functions of these states involve clusters of k particles, and are related to correlators of parafermion currents in two-dimensional conformal field theory. The k=2 case is the Pfaffian. For k greater than or equal to 2, the quasiparticle excitations of these systems are expected to possess non-Abelian statistics, like those of the Pfaffian. For k=3, these ground states have large overlaps with the ground states of the (two-body) Coulomb-interaction Hamiltonian for electrons in the first excited Landau level at total filling factors v= 2 + 3/5,2 + 2/5. [S0163-1829(99)06911-8]