Boundary Criticality for the Gross-Neveu-Yukawa Models
ORAL
Abstract
We study the boundary criticality for the Gross-Neveu-Yukawa (GNY) models. Employing interacting Dirac fermions on a honeycomb lattice with armchair boundaries, we use determinant quantum Monte Carlo simulation to uncover rich boundary criticalities at the quantum phase transition to a charge density wave (CDW) insulator, including the ordinary, special, and extraordinary transitions. The Dirac fermions satisfy a Dirichlet boundary condition, while the boson field, representing the CDW order, obeys Dirichlet and Neumann conditions at the ordinary and special transitions, respectively, thereby enriching the critical GNY model. We develop a perturbative 4 −𝜀 renormalization group approach to compute the boundary critical exponents. Our framework generalizes to other GNY universality class variants and provides theoretical predictions for experiments.
*The numerical mean field calculation was performed using the high-performance computational resources provided by the Louisiana Optical Network Infrastructure. The DQMC simulations utilized ACES at Texas A&M University High Performance Research Computing, through the allocation No. PHY250116 granted by the Advanced Cyberinfrastructure Coordination Ecosystem: Services and Support (ACCESS) program, which is supported by National Science Foundation Grants No. 2138259, No. 2138286, No. 2138307, No. 2137603, and No. 2138296. This work is supported by a start-up fund (H. J., Y. G., and S.-K. J.) and a COR Research Fellowship (S.-K. J.) at Tulane University.
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Publication:H. Jiang, Y. Ge, and S.-K. Jian, Boundary Criticality for the Gross-Neveu-Yukawa Models, Phys. Rev. Lett. 135, 141602 (2025).
