Direct determination of the Tomonaga-Luttinger parameter $K$ in quasi-one-dimensional spin systems

Abstract

We test the analytical formula for the enhancement of the nuclear magnetic resonance rate $T_1^{-1}$ by the critical spin fluctuations, over the simple power-law dependence predicted for a purely one-dimensional spin system, recently derived in the random phase approximation [M. Dupont et al., Phys. Rev. B 98, 094403 (2018)]. This prediction is experimentally confirmed by excellent fits to the published temperature dependence of $T_1^{-1}$ data in the two representative spin compounds, (C${}_7$H${}_{10}$N)${}_2$CuBr${}_4$ (DIMPY) and BaCo${}_2$V${}_2$O${}_8$, providing at the same time a direct and convenient experimental determination of the Tomonaga-Luttinger-liquid parameter $K$, very well in agreement with theoretical predictions.

Main manuscript (5 pages, 4 figures) and Supplemental Material (3 pages, 2 figures), 8 pages, 6 figures in total

References in corpus (3)

• Controlling Luttinger liquid physics in spin ladders under a magnetic field
• Field-induced incommensurate order for the quasi-one-dimensional XXZ model in a magnetic field
• Nuclear magnetic resonance study of the magnetic-field-induced ordered phase in the NiCl2-4SC(NH2)2 compound

Cited by in corpus (10)

• $E_8$ Spectra of Quasi-one-dimensional Antiferromagnet BaCo${}_2$V${}_2$O${}_8$ under Transverse Field
• Spatiotemporal Crossover between Low- and High-Temperature Dynamical Regimes in the Quantum Heisenberg Magnet
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Zigzag materials: selective interchain couplings control the coexistence of one-dimensional physics and deviations from it
• Field-induced antiferromagnetism and Tomonaga-Luttinger liquid behavior in the quasi-one-dimensional Ising-Antiferromagnet SrCo2V2O8
• Critical Berezinskii-Kosterlitz-Thouless dynamics in the archetypal two-dimensional spin system Ba${}_2$CuSi${}_2$O${}_6$Cl${}_2$
• Ising spin-1/2 XXZ chain's quantum problems beyond the spinon paradigm
• Properties of an organic model $S=1$ Haldane chain system
• Haldane phase, field-induced magnetic ordering and Tomonaga-Luttinger liquid behavior in a spin-one chain compound NiC${}_2$O${}_4$$\cdot$2NH${}_3$
• Site-selective observation of spin dynamics of a Tomonaga-Luttinger liquid in frustrated Heisenberg chains