Realization of Weyl semimetal phase in a non-centrosymmetric superlattice in Kane-Mele model.

We investigate a superlattice alternately composed of quantum spin Hall insulators in Kane-Mele model and two-dimensional normal insulators due to the staggered lattice potential. The staggered lattice potential in normal insulators as a spacer layer has a role of breaking an inversion symmetry in current study. We show a realization of Weyl semimetal (WSM) phase in a finite region and a phase transition to a weak topological insulator.

Intrinsic finite-size effects in the two-dimensional XY model with irrational frustration.

This study investigates in detail the finite-size scaling of the two-dimensional irrationally frustrated XY model. By means of Monte Carlo simulations with entropic sampling, we examine the size dependence of the specific heat, and find remarkable deviation from the conventional finite-size scaling theory, which reveals novel intrinsic finite-size effects. Relaxation dynamics of the system is also considered, and, correspondingly, finite-size scaling of the relaxation time is examined, again giving evidence for the intrinsic finite-size effects and suggesting a zero-temperature glass transition.