Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
Phys Rev Lett. 2010 Nov 19;105(21):216804. doi: 10.1103/PhysRevLett.105.216804.
We find a series of possible continuous quantum phase transitions between fractional quantum Hall states at the same filling fraction in two-component quantum Hall systems. These can be driven by tuning the interlayer tunneling and/or interlayer repulsion. One side of the transition is the Halperin (p,p,p-3) Abelian two-component state, while the other side is the non-Abelian Z4 parafermion (Read-Rezayi) state. We predict that the transition is a continuous transition in the 3D Ising class. The critical point is described by a Z2 gauged Ginzburg-Landau theory. These results have implications for experiments on two-component systems at ν=2/3 and single-component systems at ν=8/3.
我们在双层量子 Hall 体系中同一填充因子下发现了一系列分数量子霍尔态之间可能的连续量子相变。这些相变可以通过调节层间隧道和/或层间排斥来驱动。相变的一侧是哈伯林（p，p，p-3）阿贝尔双分量态，另一侧是非阿贝尔 Z4 准粒子（Read-Rezayi）态。我们预测该相变是 3D Ising 类的连续相变。临界点由一个 Z2 规范的金兹堡-朗道理论来描述。这些结果对于ν=2/3 的双分量体系和ν=8/3 的单分量体系的实验具有重要意义。
