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.

arXiv comment5 pages, 3 figures

References in corpus (14)

• Quantum criticality and universal scaling of a quantum antiferromagnet
• Finite Temperature Properties of Quantum Antiferromagnets in a Uniform Magnetic Field in One and Two Dimensions
• Confinement of fractional quantum number particles in a condensed matter system
• Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field
• Field-induced Tomonaga-Luttinger liquid phase of a two-leg spin-1/2 ladder with strong leg interactions
• Spectral and thermodynamic properties of a strong-leg quantum spin ladder
• Spin correlations in the two-leg antiferromagnetic ladder in a magnetic field
• Spectrum of a magnetized strong-leg quantum spin ladder
• Attractive Tomonaga-Luttinger Liquid in a Quantum Spin Ladder
• Symmetric and asymmetric excitations of a strong-leg quantum spin ladder
• Spin pseudogap in Ni-doped SrCuO2
• Long-lived magnons throughout the Brillouin zone of the strong-leg spin ladder (C${}_7$H${}_{10}$N)${}_2$CuBr${}_4$
• Novel metallic and insulating states at a bent quantum Hall junction
• Scaling of dynamic spin correlations in BaCu2SiGeO7

Cited by in corpus (26)

• HORACE: software for the analysis of data from single crystal spectroscopy experiments at time-of-flight neutron instruments
• Reconstructing the quantum critical fan of strongly correlated systems via quantum correlations
• Measurement of the Dynamical Structure Factor of a 1D Interacting Fermi Gas
• Dichotomy between Attractive and Repulsive Tomonaga-Luttinger Liquids in Spin Ladders
• Giant magnetic-field dependence of the coupling between spin Tomonaga-Luttinger liquids in BaCo2V2O8
• Thermodynamics of a frustrated quantum magnet on a square lattice
• $z=2$ Quantum Critical Dynamics in a Spin Ladder
• Novel Crossover in Coupled Spin Ladders
• Phonon-modulated magnetic interactions and spin Tomonaga-Luttinger liquid in the p-orbital antiferromagnet CsO2
• ESR modes in a Strong-Leg Ladder in the Tomonaga-Luttinger Liquid Phase
• Finite-temperature correlations in a quantum spin chain near saturation
• Quantum Critical Scaling for a Heisenberg Spin-$1/2$ Chain around Saturation
• Emergent interacting spin islands in a depleted strong-leg Heisenberg ladder
• Finite-temperature scaling of spin correlations in a partially magnetized Heisenberg $S=1/2$ chain
• Singlet ground state in the alternating spin-$1/2$ chain compound NaVOAsO${}_4$
• Finite-temperature scaling of spin correlations in an experimental realization of the one-dimensional Ising quantum critical point
• Quantum criticality in a three dimensional spin system at zero field and pressure
• Magnetic field induced bound states in spin-$\frac{1}{2}$ ladders
• Quantum-critical spin dynamics in a Tomonaga-Luttinger liquid studied with muon-spin relaxation
• Quantum critical dynamics and scaling in one-dimensional antiferromagnets
• Anisotropy-induced soliton excitation in magnetized strong-rung spin ladders
• Deficiency of the scaling collapse as an indicator of a superconductor-insulator quantum phase transition
• LT-scaling in depleted quantum spin ladders
• Electron spin resonance study of spin relaxation in the strong-leg spin ladder with nonmagnetic dilution
• Finite-temperature dynamics and the role of disorder in nearly critical Ni(Cl${}_{1-x}$Br${}_x$)${}_2$$\cdot$4SC(NH${}_2$)${}_2$
• Dynamics and field-induced order in the layered spin $S=1/2$ dimer system (C${}_5$H${}_6$N${}_2$F)${}_2$CuCl${}_4$