Thermal Ising transitions in the vicinity of two-dimensional quantum critical points

• DOI: 10.1103/physrevb.93.155157
• Publication Date: 2016-04-27T19:37:51Z
• Authors: S. Hesselmann; S. Wessel
• Keywords: Critical point (mathematics); Quantum annealing; Quantum phases

The scaling of the transition temperature into an ordered phase close to a quantum critical point as well order parameter fluctuations inside region provide valuable information about universal properties underlying point. Here, we employ Monte Carlo simulations examine these relations in detail for two-dimensional systems that exhibit finite-temperature Ising-transition line vicinity belongs universality class either (i) three-dimensional Ising model case transverse magnetic field on square lattice or (ii) chiral half-filled system spinless fermions honeycomb with nearest-neighbor repulsion. While first allows large-scale assess predictions high precision terms known values exponents at point, later case, extract $\ensuremath{\nu}$ and $\ensuremath{\eta}$, related fluctuations, which discuss relation other recent estimates from ground-state calculations analytical approaches.