Broken symmetry of two-component nu =1/2 quantum Hall states.
Broken symmetry of two-component nu =1/2 quantum Hall states.
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二元 nu =1/2 量子霍尔态的对称性破缺。
DOI：
10.1103/physrevlett.75.1186
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发表时间：
1995
影响因子：
8.6
通讯作者：
Ho
中科院分区：
文献类型：
--
作者：
Ho
我们证明了最近在双层系统中发现的$\nu=1/2$量子霍尔态是复合费米子的三重态p波对态，其形式与He超流体完全相同。在两组分到一组分的交叉区中观察到的1/nu=1/2$态的持续(虽然减弱)对应于所谓的(331)态向‘Pfaffian’态的连续形变，这与著名的在{3}$He中的A到A{1}$跃迁相同。这一形变也证明了这样一个显著的事实，即电子可以通过自旋旋转以连续和不可压缩的方式释放和捕获‘涡旋’。三重态对称态的破缺对称性是一个“配对”矢量，它还隐含着一个(伪自旋)磁化强度proto i{\bf d}\x{\bf d}^{\ast}$。在层隧道存在的情况下，(331)态({\bf d}Real)相对于具有磁化({\bf d}复合体)的其他态是不稳定的。最近观察到的单层系统在两组分到一组分交叉区的{nu=5/2$态的持久性也与三重态配对的解释一致。
We show that the recently discovered $\nu=1/2$ quantum Hall states in bilayer systems are triplet p-wave pairing states of composite Fermions, of exactly the same form as $^{3}$He superfluids. The observed persistence (though weakening) of the $\nu=1/2$ state in the two- to one-component crossover region corresponds to a continuous deformation of the so-called (331) state towards the ``Pfaffian" state, identical to the well known A to A$_{1}$ transition in $^{3}$He. This deformation also demonstrates the remarkable fact that electrons can release and capture ``vortices" in a continuous and incompressible manner through spin rotations. The broken symmetry of the triplet pairing state is a ``pairing" vector ${\bf d}$. It also implies a (pseudo-spin) magnetization $\propto i{\bf d}\times {\bf d}^{\ast}$. In the presence of layer tunneling, the (331) state ({\bf d} real) is unstable against other states with a magnetization ({\bf d} complex). The recently observed persistence of the $\nu=5/2$ state in single layer systems in the two- to one-component crossover region is also consistent with triplet pairing interpretation.