Matrix model for non-Abelian quantum Hall states

Article

关键词: GINZBURG-LANDAU EQUATIONS;    AHARONOV-BOHM SCATTERING;    FIELD THEORY;    VORTICES;    LEVEL;    STATISTICS;    DYNAMICS;    SYMMETRY;    SOLITONS;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.94.085114

来源: SCIE

【 摘 要 】

We propose a matrix quantum mechanics for a class of non-Abelian quantum Hall states. The model describes electrons which carry an internal SU(p) spin. The ground states of the matrix model include spin-singlet generalizations of the Moore-Read and Read-Rezayi states and, in general, lie in a class previously introduced by Blok and Wen. The effective action for these states is a U(p) Chern-Simons theory. We show how the matrix model can be derived from quantization of the vortices in this Chern-Simons theory and how the matrix model ground states can be reconstructed as correlation functions in the boundary WZW model.

【 授权许可】

Free