Quasi-Spin-Charge Separation and the Spin Quantum Hall Effect
classification
❄️ cond-mat.mes-hall
cond-mat.dis-nnhep-th
keywords
quantumspinhalltheoryagreealgebraalgebrascertain
read the original abstract
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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