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Phys. Rev. B 70, 180401(R) (2004) [4 pages]

Random antiferromagnetic SU(N) spin chains

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José Abel Hoyos* and E. Miranda
Instituto de Física Gleb Wataghin, Unicamp, Caixa Postal 6165, 13083-970 Campinas, São Paulo, Brazil

Received 9 September 2004; published 11 November 2004

We analyze random isotropic antiferromagnetic SU(N) spin chains using the real-space renormalization group. We find that they are governed at low energies by a universal infinite randomness fixed point different from the one of random spin-1∕2 chains. We determine analytically the important exponents: the energy-length scale relation is Ω∼exp(−Lψ), where ψ=1∕N, and the mean correlation function is given by Cij̅ ∼(−1)ij∕∣ijϕ, where ϕ=4∕N. Our analysis shows that the infinite-N limit is unable to capture the behavior obtained at any finite N.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.70.180401
DOI:
10.1103/PhysRevB.70.180401
PACS:
75.10.Jm, 75.10.Nr

*Electronic address: joseabel@ifi.unicamp.br

Electronic address: emiranda@ifi.unicamp.br