Dynamic approach to the two-dimensional nonreciprocal XY model with vision cone interactions

Inspired by biological and artificial systems, the nonreciprocal XY model with a vision cone interaction has been introduced. In this paper, we clarify that the model on the square lattice with the vision cone angle in a narrow regime, Θ∈(360∘,358.5∘), undergoes two Kosterlitz-Thouless (KT) phase transitions, while it exhibits a single second-order phase transition with Θ∈(358.5∘,305∘]. With the short-time dynamic approach, the phase-transition temperatures and critical exponents are accurately determined for both the second-order phase transition and two KT phase transitions. locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon locked icon Physics Subject Headings (PhySH)Dynamic critical phenomenaLattice models in statistical physicsMonte Carlo methods