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- W2068070670 abstract "We analyze random isotropic antiferromagnetic $mathrm{SU}(N)$ 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 $mathrm{ensuremath{Omega}}ensuremath{sim}mathrm{exp}(ensuremath{-}{L}^{ensuremath{psi}})$, where $ensuremath{psi}=1∕N$, and the mean correlation function is given by $overline{{C}_{ij}}ensuremath{sim}{(ensuremath{-}1)}^{iensuremath{-}j}∕{ensuremath{mid}iensuremath{-}jensuremath{mid}}^{ensuremath{phi}}$, where $ensuremath{phi}=4∕N$. Our analysis shows that the infinite-$N$ limit is unable to capture the behavior obtained at any finite $N$." @default.
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- W2068070670 date "2004-11-11" @default.
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- W2068070670 title "Random antiferromagneticSU(N)spin chains" @default.
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- W2068070670 doi "https://doi.org/10.1103/physrevb.70.180401" @default.
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