Quantum critical dynamics in the two-dimensional transverse Ising model

In the vicinity of quantum critical point (QCP), thermodynamic properties diverge toward zero temperature governed by universal exponents. Although this fact is well known, how it reflected in dynamics has not been addressed. The QCP transverse Ising model on a triangular lattice an ideal platform to test issue, since experimental realization, dielectrics being realized organic dimer Mott insulator, $\ensuremath{\kappa}\text{\ensuremath{-}}{\mathrm{ET}}_{2}X$, where electric dipole represents degrees freedom. We track Glauber-type constructing kinetic protocol based Monte Carlo method. dynamical susceptibility takes form Debye function and shows significant peak narrowing approaching due divergence relaxation timescale. It explains anomaly dielectric constants observed materials, indicating that material very near ferroelectric QCP. disclose other exponents develop beyond simple field theory.