Gauge invariance of fractionally charged quasiparticles and hidden topologicalZnsymmetry | Zendy

Yong-Shi Wu | Zendy; Yasuhiro Hatsugai | Zendy; Mahito Kohmoto | Zendy

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Gauge invariance of fractionally charged quasiparticles and hidden topologicalZnsymmetry

Author(s) -

Yong-Shi Wu,

Yasuhiro Hatsugai,

Mahito Kohmoto

Publication year - 1991

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.66.659

Subject(s) - anyon , quasiparticle , physics , charge (physics) , topological quantum computer , gauge theory , quantum number , quantum mechanics , quantum , mathematical physics , theoretical physics , superconductivity

Using the braid-group formalism we study the consequences of gauge invariance for fractionally charged anyonic quasiparticles in a two-dimensional multiply connected system. It is shown that gauge invariance requires multicomponent wave functions, and leads to the emergence of a hidden topological Zn symmetry with associated quantum number and unavoidable occurrence of level crossings for many-body eigenstates. In certain situations, it relates the fractional charge to anyon statistics. The implications for the fractional quantum Hall effect are also discussed

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