Controlling Luttinger liquid physics in spin ladders under magnetic field

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  • 11 June 2008
Abstract
We present a 14N nuclear magnetic resonance study of a single crystal of CuBr4(C5H12N)2 (BPCB), which contains weakly coupled spin-1/2 Heisenberg antiferromagnetic ladders. Treating ladders in the gapless phase as Luttinger liquids, we are able to fully account for i) the magnetic field dependence of the nuclear spin-lattice relaxation rate T_1^{-1} at 250 mK and for ii) the phase transition to a 3D ordered phase occuring below 110 mK due to weak inter-ladder exchange coupling. BPCB is thus an excellent model system where the possibility to control Luttinger liquid parameters in a continuous manner is demonstrated and Luttinger liquid model tested in detail over the whole band.

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