2008

Structure of Quasiparticles and Their Fusion Algebra in Fractional Quantum Hall States

Barkeshli, Maissam, Wen, Xiao-Gang

Understand

It was recently discovered that fractional quantum Hall (FQH) states can be classified by the way ground state wave functions go to zero when electrons are brought close together.

Quasiparticles in the FQH states can be classified in a similar way, by the pattern of zeros that result when electrons are brought close to the quasiparticles.
In this paper we combine the pattern-of-zero approach and the conformal-field-theory (CFT) approach to calculate the topological properties of quasiparticles.
We discuss how the quasiparticles in FQH states naturally form representations of a magnetic translation algebra, with members of a representation differing from each other by Abelian quasiparticles.

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