Enhancement of Odd-parity Pairing near Inversion-breaking Quantum Critical Points in Two-dimensional Systems

Microscopic mechanism for topological superconductivity in 2D has attracted many attentions in the past several years. It was proposed that the quantum fluctuation near an inversion-symmetry-breaking quantum critical point (QCP) may lead to the enhancement of odd-parity pairings. We study the effect of inversion-breaking quantum fluctuations in a microscopic model of electrons on a bilayer lattice by fermion-problem-free quantum Monte-Carlo (QMC) simulations. Our results show that pairing in odd-parity channels can be more enhanced than the even-parity channels in the vicinity of the inversion-breaking QCP, which is consistent with the renormalization-group analysis.