Quasi-Spin-Charge Separation and the Spin Quantum Hall Effect

Details Quasi-Spin-Charge Separation and the Spin Quantum Hall Effect Quasi-Spin-Charge Separation and the Spin Quantum Hall Effect

2000-03-06

arxiv.org/abs/cond-mat/0003075v2

Phys.Rev. B64 (2001) 045306

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

20 pages, two figures, Some subtleties in implementing the coset are pointed out, so that the resulting fixed point theory is

Scientific paper

10.1103/PhysRevB.64.045306

We use quantum field theory methods to study the network model for the spin quantum hall transition. When the couplings are fine tuned in a certain way, the spin and charge degrees of freedom, corresponding to the supercurrent algebras su(2) and osp(2|2) respectively, decouple in the renormalization group flow. The infrared fixed point of this simpler theory is the coset osp(4|4)/su(2) which is closely related to the current algebra osp(2|2) but not identical. Some critical exponents are computed and shown to agree with the recent predictions based on percolation.

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