Low-temperature phases obtained by linear programming: An application to a lattice system of model chiral molecules

► We study low-temperature phases for more complex systems with linear constraints. ► A new technique based on linear programming is introduced. ► We compare it with the m-potential method for a specific model molecular system. ► Our technique yields the results in wider ranges of interactions. ► The existence of a racemic phase as well as a homochiral phase is proven.