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An integrable sl(2|1) vertex model for the spin quantum Hall critical point

R M Gade

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An integrable vertex model associated to the Lie superalgebra sl(2|1) is constructed for the description of the spin quantum Hall critical phase. The model involves R-matrix solutions of the Yang-Baxter equation with respect to both the vector representation of sl(2|1) and its dual and an inhomogenity in the spectral parameters. On the torus the model can be mapped onto a Chalker-Coddington-type network model.


PACS

73.43.Cd Theory and modeling

02.10.Yn Matrix theory

02.10.Ud Linear algebra

MSC

81V70 Many-body theory; quantum Hall effect

Subjects

Mathematical physics

Surfaces, interfaces and thin films

Dates

Issue 41 (15 October 1999)

Received 26 March 1999



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