Random Antiferromagnetic SU(N) Spin Chains

Details Random Antiferromagnetic SU(N) Spin Chains Random Antiferromagnetic SU(N) Spin Chains

2004-06-04

arxiv.org/abs/cond-mat/0406130v4

Phys. Rev. B 70, 180401(R) (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.70.180401

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 $\Omega\sim\exp(-L^{\psi})$, where $\psi=1/N$, and the mean correlation function is given by $\bar{C_{ij}}\sim(-1)^{i-j}/|i-j|^{\phi}$, where $\phi=4/N$. Our analysis shows that the infinite-N limit is unable to capture the behavior obtained at any finite N.

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