Anyon condensation and continuous topological phase transitions in non-Abelian fractional quantum Hall states.
Anyon condensation and continuous topological phase transitions in non-Abelian fractional quantum Hall states.
复制标题
DOI：
10.1103/physrevlett.105.216804
复制
发表时间：
2010-07
影响因子：
8.6
通讯作者：
M. Barkeshli;X. Wen
中科院分区：
文献类型：
--
作者：
M. Barkeshli;X. Wen
在两组分量子霍尔系统中，我们发现了一系列可能的分数量子霍尔态之间的连续量子相变。这些可以通过调整层间隧穿和/或层间排斥来驱动。跃迁的一侧是Halperin（p，p，p-3）阿贝尔双分量态，另一侧是非阿贝尔Z4副费米子（Read-Rezayi）态。我们预测，过渡是一个连续的过渡在3D伊辛类。临界点由Z2规范的Ginzburg-Landau理论描述。这些结果对在ν=2/3的双组分体系和在ν=8/3的单组分体系的实验具有意义。
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.