Second generation of composite fermions in the Hamiltonian theory
Second generation of composite fermions in the Hamiltonian theory
复制标题
哈密顿理论中的第二代复合费米子
DOI：
10.1103/physrevb.69.155324
复制
发表时间：
2003
影响因子：
3.7
通讯作者：
C. M. Smith
中科院分区：
文献类型：
--
作者：
M. Goerbig;M. Goerbig;Pascal Lederer;C. M. Smith
在最近发展的限制在一个单一的水平上的相互作用的复合费米子模型的框架内，我们计算了第二代自旋极化复合费米子的激活间隙。这些复合粒子中的每一个都由第一代的复合费米子和涡旋激发组成，并且可能是最近观察到的分数量子霍尔态的原因，这些分数量子霍尔态具有不寻常的填充因子，例如$\ensuremath{\nu}=4/11，$5/13，5/17和6/17。因为第二代复合费米子的能隙比第一代的能隙小一个数量级以上，所以这些态比在填充因子$\ensuremath{\nu}=p/（2 ps +1）下观察到的通常态更不明显。它们的稳定性进行了讨论的范围内的赝势扩展的复合费米子相互作用势。
In the framework of a recently developed model of interacting composite fermions restricted to a single level, we calculate the activation gaps of a second generation of spin-polarized composite fermions. These composite particles each consist of a composite fermion of the first generation and a vortexlike excitation and may be responsible for the recently observed fractional quantum Hall states at unusual filling factors such as $\ensuremath{\nu}=4/11,$ 5/13, 5/17, and 6/17. Because the gaps of composite fermions of the second generation are found to be more than one order of magnitude smaller than those of the first generation, these states are less visible than the usual states observed at filling factors $\ensuremath{\nu}=p/(2ps+1).$ Their stability is discussed in the context of a pseudopotential expansion of the composite-fermion interaction potential.