Local dynamics and thermal activation in the transverse-field Ising chain

Abstract

There has been considerable recent progress in identifying candidate materials for the transverse-field Ising chain (TFIC), a paradigmatic model for quantum criticality. Here, we study the local spin dynamical structure factor of different spin components in the quantum disordered region of the TFIC. We show that the low-frequency local dynamics of the spins in the Ising- and transverse-field directions have strikingly distinctive temperature dependencies. This leads to the thermal-activation gap for the secular term of the NMR $1/T_2^{\prime }$ relaxation rate to be half of that for the $1/T_1$ relaxation rate. Our findings reveal a new surprise in the nonzero-temperature dynamics of the venerable TFIC model and uncover a means to evince the material realization of the TFIC universality.

arXiv comment17 pages, 5 figures

References in corpus (24)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
• Quantum criticality
• Quantum phases driven by strong correlations
• Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
• Iron pnictides as a new setting for quantum criticality
• Low temperature relaxational dynamics of the Ising chain in a transverse field
• Heavy-electron quantum criticality and single-particle spectroscopy
• Criticality in correlated quantum matter
• Evolution of Quantum Fluctuations Near the Quantum Critical Point of the Transverse Field Ising Chain System CoNb${}_2$O${}_6$
• Form factor expansion for thermal correlators
• Heat capacity anomaly at the quantum critical point of the Transverse Ising Magnet CoNb_2O_6
• Quantum Criticality of an Ising-like Spin-1/2 Antiferromagnetic Chain in Transverse Magnetic Field
• Quantum criticality of the Ising-like screw chain antiferromagnet SrCo2V2O8 in a transverse magnetic field
• Finite Temperature Dynamical Correlations in Massive Integrable Quantum Field Theories
• $E_8$ Spectra of Quasi-one-dimensional Antiferromagnet BaCo${}_2$V${}_2$O${}_8$ under Transverse Field
• Observation of E8 Particles in an Ising Chain Antiferromagnet
• Finite temperature spin dynamics in a perturbed quantum critical Ising chain with an $E_8$ symmetry
• "Quasi-particle breakdown" in the quasi-one-dimensional Ising ferromagnet CoNb${}_2$O${}_6$
• Crossovers and critical scaling in the one-dimensional transverse-field Ising model
• Spectral expansion for finite temperature two-point functions and clustering
• Cascade of singularities in the spin dynamics of a perturbed quantum critical Ising chain
• NMR relaxation in Ising spin chains
• Spin operator matrix elements in the quantum Ising chain: fermion approach

Cited by in corpus (7)

• Shedding Light on Microscopic Details: 2D Spectroscopy of 1D Quantum Ising Magnets
• Magnetic excitations in the one-dimensional Heisenberg-Ising model with external fields and their experimental realizations
• Spin-echo and quantum versus classical critical fluctuations in TmVO${}_4$
• Truncated string state space approach and its application to nonintegrable spin-$\frac{1}{2}$ Heisenberg chain
• Spin dynamics and dark particle in a weak-coupled quantum Ising ladder with ${\mathcal{D}}_8^{(1)}$ spectrum
• Dynamical correlation functions in the Ising field theory
• Thermally activated detection of dark particles in a weakly coupled quantum Ising ladder