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

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