“Antichiral” exactly solvable effectively two-dimensional quantum spin model

Abstract We present a number of effectively 2D (or quasi-1D) exactly solvable quantum spin models with T and P symmetry breaking. The ground state energies have been found. For the antiferromagnetic case we show the “antichiral” spin character for the models under consideration. The behaviour of the systems in an external magnetic field and their excitations have been investigated.