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arXiv · 0807.2713

Super Spin-Charge Separation for class A, C, and D disorder

André LeClair·Dean J. Robinson
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Abstract

We prove versions of super spin-charge separation for all three of the symmetry groups SU(N), Sp(2N), and SO(N) of disordered Dirac fermions in 2+1 dimensions, which involve the supercurrent-algebras gl (1|1)_{N}, osp(2|2)_{-2N}, and osp(2|2)_N respectively. For certain restricted classes of disordered potentials, the latter supercurrent algebra based conformal field theories can arise as non-trivial low energy fixed points. For all cases with such a fixed point, we compute the density of states exponents as a function of N.

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André LeClair, Dean J. Robinson. 2008-07-17. Super Spin-Charge Separation for class A, C, and D disorder. https://doi.org/10.1088/1751-8113/41/45/452002

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