Symmetry-induced anyon breeding in fractional quantum Hall states

Article

关键词: EXCITATIONS;    STATISTICS;    HIERARCHY;    CHARGE;    FLUID;   

DOI  :  10.1103/PhysRevB.89.115321

来源: SCIE

【 摘 要 】

An exotic feature of the fractional quantum Hall effect is the emergence of anyons, which are quasiparticle excitations with fractional statistics. In the presence of a symmetry, such as U( 1) charge conservation, it is well known that anyons can carry fractional symmetry quantum numbers. In this paper we reveal a different class of symmetry realizations, i.e., anyons can breed in multiples under symmetry operation. We focus on the global Ising (Z2) symmetry and show examples of these unconventional symmetry realizations in Laughlin-type fractional quantum Hall states. One remarkable consequence of such an Ising symmetry is the emergence of anyons on the Ising symmetry domain walls. We also provide a mathematical framework which generalizes this phenomenon to any Abelian topological orders.

【 授权许可】

Free