2004/06/30 by J. A. Hoyos, José A. Hoyos, E. Miranda · 4 citations
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum many-body systems #Theoretical and Computational Physics #cond-mat.dis-nn #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.70.180401
published as Phys. Rev. B 70, 180401(R) (2004) · 4 pages, 3 figures
arxiv created 2004/11/11 · openalex publication_date 2004/11/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 \mathrm\ensuremathΩ\ensuremath∼exp(\ensuremath-L^\ensuremathψ), where \ensuremathψ=1∕N, and the mean correlation function is given by Cij\ensuremath∼(\ensuremath-1)^i\ensuremath-j∕\ensuremath|i\ensuremath-j\ensuremath|^\ensuremathφ, where \ensuremathφ=4∕N. Our analysis shows that the infinite-N limit is unable to capture the behavior obtained at any finite N.