Scaling of temporal correlations in an attractive Tomonaga-Luttinger spin liquid

Abstract

We report temperature-dependent neutron scattering measurements of the local dynamic structure factor in the quantum spin ladder (C${}_7$H${}_{10}$N)${}_2$CuBr${}_4$ in a magnetic field $H=9$~T, in its gapless quantum-critical phase. We show that the measured quantity has a scaling form consistent with expectations for a Tomonaga-Luttinger liquid with attraction. The measured Luttinger parameter $K\approx 1.25$ and scaling function are in excellent agreement with density matrix renormalization group numerical calculations for the underlying spin Hamiltonian.

5 pages, 3 figures

References in corpus (2)

• Field-induced Tomonaga-Luttinger liquid phase of a two-leg spin-1/2 ladder with strong leg interactions
• Novel metallic and insulating states at a bent quantum Hall junction

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• Quantum critical dynamics and scaling in one-dimensional antiferromagnets
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• Finite-temperature dynamics and the role of disorder in nearly critical Ni(Cl${}_{1-x}$Br${}_x$)${}_2$$\cdot$4SC(NH${}_2$)${}_2$