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.

7 pages, 7 figures

References in corpus (5)

• Controlling Luttinger liquid physics in spin ladders under a magnetic field
• Field-induced Tomonaga-Luttinger liquid phase of a two-leg spin-1/2 ladder with strong leg interactions
• Critical properties and Bose Einstein Condensation in dimer spin systems
• Scaling of temporal correlations in an attractive Tomonaga-Luttinger spin liquid
• Novel metallic and insulating states at a bent quantum Hall junction

Cited by in corpus (2)

• 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