Random Antiferromagnetic SU(N) Spin Chains
Abstract
Description
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 $Ω\sim\exp(-L^ψ)$, where $ψ=1/N$, and the mean correlation function is given by $\bar{C_{ij}}\sim(-1)^{i-j}/|i-j|^ϕ$, where $ϕ=4/N$. Our analysis shows that the infinite-N limit is unable to capture the behavior obtained at any finite N.
4 pages, 3 figures
4 pages, 3 figures