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Quantum entanglement effects between the electronic spin and charge degreesof freedom are examined in an organic molecular solid, termed a dimer-Mottinsulating system, in which molecular dimers are arranged in a crystal asfundamental units. A low energy effective model includes an antisymmetricexchange interaction, as one of the dominant magnetic interactions. Thisinteraction favors a 90 degree spin configuration, and competes with theHeisenberg-type exchange interaction. Stabilities of the magnetic orderedphases are examined by using the spin-wave theory, as well as theSchwinger-boson theory. It is found that the spin-charge interaction promotesan instability of the long-range magnetic ordered state around a parameterregion where two spin-spiral phases are merged. Implication for the quantumspin liquid state observed in $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$ isdiscussed.

Quantum Melting of Magnetic Order in an Organic Dimer-Mott Insulating System