Phys. Rev. B 50, 10788–10791 (1994)Network models of quantum percolation and their field-theory representationsReceived 18 May 1994; published in the issue dated 15 October 1994 We obtain the field-theory representations of several network models that are relevant to two-dimensional transport in high magnetic fields. Among them, the simplest one, which is relevant to the plateau transition in the quantum Hall effect, is equivalent to a particular representation of an antiferromagnetic SU(2N) (N→0) spin chain. Since the latter can be mapped onto a θ≠0, U(2N)/U(N)×U(N) σ model, and since recent numerical analyses of the corresponding network give a delocalization transition with ν≊2.3, we conclude that the same exponent is applicable to the σ model. © 1994 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.50.10788
DOI:
10.1103/PhysRevB.50.10788
PACS:
73.50.Jt, 05.30.-d, 74.20.-z
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.