An antisymmetric exchange interaction between spins, proportional to with a bond-dependent vector . The overall sign is conventional and must be specified. It favors a handed twist rather than simple parallel or antiparallel alignment. For a uniform chain term , common spin rotations about and time reversal remain symmetries, although reversing the bond orientation changes the sign of .
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Antisymmetric exchange, often referred to in the context of spin interactions in quantum mechanics and condensed matter physics, describes a specific type of interaction between particles with spin, particularly in systems of localized magnetic moments (like in magnetic materials). In quantum mechanics, particles with spin can interact with each other through exchange interactions, which arise from the principles of quantum superposition and the Pauli exclusion principle.