Critical points in edge tunneling between generic fractional quantum Hall states
Critical points in edge tunneling between generic fractional quantum Hall states
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DOI：
10.1103/physrevb.66.115305
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发表时间：
2002-09-15
影响因子：
3.7
通讯作者：
Wen, XG
中科院分区：
文献类型：
--
作者：
Moore, JE;Wen, XG
在量子霍尔边缘态的手性- luttinger -液体模型中，给出了弱和强隧穿不动点的一般描述。隧道不动点是“终止”不动点的子集，它描述了多分量边缘上的边界条件。有界边的幺正时间演化要求给出了可能存在的低能边界条件的非平凡一致性条件。通过微扰重整化群（RG）方法研究了相互作用和随机跳变对不动点的影响，将无序Luttinger液体的Giamarchi-Schulz RG推广到左右对称破缺和多模态。我们将我们的方法应用于许多例子，例如量子霍尔边缘和超导体之间的隧穿，以及存在相互作用的两个量子霍尔边缘之间的隧穿。在两个劳克林态之间的可积隧穿情况下，相互作用可以诱导有效隧穿电荷的连续重整化。
A general description of weak and strong tunneling fixed points is developed in the chiral-Luttinger-liquid model of quantum Hall edge states. Tunneling fixed points are a subset of "termination" fixed points, which describe boundary conditions on a multicomponent edge. The requirement of unitary time evolution for bounded edges gives a nontrivial consistency condition for possible low-energy boundary conditions. The effects of interactions and random hopping on fixed points are studied through a perturbative renormalization-group (RG) approach which generalizes the Giamarchi-Schulz RG for disordered Luttinger liquids to broken left-right symmetry and multiple modes. We apply our approach to a number of examples, such as tunneling between a quantum Hall edge and a superconductor and tunneling between two quantum Hall edges in the presence of interactions. Interactions are shown to induce a continuous renormalization of effective tunneling charge for the integrable case of tunneling between two Laughlin states.