Quantum-critical spin dynamics in a Tomonaga-Luttinger liquid studied with muon-spin relaxation

Abstract

We demonstrate that quantum-critical spin dynamics can be probed in high magnetic fields using muon-spin relaxation (${\mu }^{+}$SR). Our model system is the strong-leg spin ladder bis(2,3-dimethylpyridinium) tetrabromocuprate (DIMPY). In the gapless Tomonaga-Luttinger liquid phase we observe finite-temperature scaling of the ${\mu }^{+}$SR $1/T_1$ relaxation rate which allows us to determine the Luttinger parameter $K$. We discuss the benefits and limitations of local probes compared with inelastic neutron scattering.

arXiv comment7 pages, 7 figures

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Cited by in corpus (5)

• Singlet ground state in the alternating spin-$1/2$ chain compound NaVOAsO${}_4$
• Quantum magnetism in molecular spin ladders probed with muon-spin spectroscopy
• Two types of alternating spin-$\frac{1}{2}$ chains and their field-induced transitions in $\epsilon$-LiVOPO${}_4$
• Numerical study of the temperature dependence of the NMR relaxation rate across the superfluid-Bose glass transition in one dimension
• Site-selective observation of spin dynamics of a Tomonaga-Luttinger liquid in frustrated Heisenberg chains