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.