Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2006-04-21
Phys. Rev. Lett. 97, 010601 (2006)
Physics
Condensed Matter
Strongly Correlated Electrons
5pages, 2 figures; reference added
Scientific paper
10.1103/PhysRevLett.97.010601
Topological order in two-dimensional systems is studied by combining the braid group formalism with a gauge invariance analysis. We show that flux insertions (or large gauge transformations) pertinent to the toroidal topology induce automorphisms of the braid group, giving rise to a unified algebraic structure that characterizes the ground-state subspace and fractionally charged, anyonic quasiparticles. Minimal ground state degeneracy is derived without assuming any relation between quasiparticle charge and statistics. We also point out that noncommutativity between large gauge transformations is essential for the topological order in the fractional quantum Hall effect.
Kohmoto Mahito
Sato* Masatoshi
Wu Yong-Shi
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