NMR study of the S=1/2 Heisenberg Ladder Cu2(C5H12N2)2Cl4 : Quantum phase transition and critical dynamics
G. Chaboussant, Y. Fagot-Revurat, M. -H. Julien, M. E. Hanson, C. Berthier, M. Horvatic, L. P. Levy, O. Piovesana
Abstract
We present an extensive NMR study of the spin-1/2 antiferromagnetic Heisenberg ladder Cu2(C5H12N2)2Cl4 in a magnetic field range 4.5 - 16.7 T. By measuring the proton NMR relaxation rate 1/T1 and varying the magnetic field around the critical field Hc1 = Delta / gμB = 7.5 T, we have studied the transition from a gapped spin liquid ground state to a gapless magnetic regime which can be described as a Luttinger liquid. We identify an intermediate regime T > |H-Hc1|, where the spin dynamics is (possibly) only controlled by the T=0 critical point Hc1.
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