Demler E, Nayak C, Das Sarma S
Physics Department, Harvard University, Cambridge, Massachusetts 02138, USA.
Phys Rev Lett. 2001 Feb 26;86(9):1853-6. doi: 10.1103/PhysRevLett.86.1853.
We consider a fully spin-polarized quantum Hall system with no interlayer tunneling at total filling factor nu = 1/k (where k is an odd integer) using the Chern-Simons-Ginzburg-Landau theory. Exploiting particle-vortex duality and the concept of quantum disordering, we find a large number of possible compressible and incompressible ground states, some of which may have relevance to recent experiments of Spielman et al. [Phys. Rev. Lett. 84, 5808 (2000)]. We find interlayer coherent compressible states without Hall quantization and interlayer incoherent incompressible states with Hall quantization in addition to the usual (k,k,k) Halperin states, which are both interlayer coherent and incompressible.
我们使用陈 - 西蒙斯 - 金兹堡 - 朗道理论来考虑一个完全自旋极化的量子霍尔系统，该系统在总填充因子$\nu = 1/k$（其中$k$为奇数整数）时不存在层间隧穿。利用粒子 - 涡旋对偶性和量子无序概念，我们发现了大量可能的可压缩和不可压缩基态，其中一些可能与斯皮尔曼等人最近的实验[《物理评论快报》84, 5808 (2000)]相关。除了通常的（$k,k,k$）哈珀林态（其既是层间相干又是不可压缩的）之外，我们还发现了没有霍尔量子化的层间相干可压缩态以及具有霍尔量子化的层间非相干不可压缩态。
