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We theoretically investigate the interplay between charge ordering andmagnetic states in quasi-one-dimensional molecular conductors TMTTF$_2X$,motivated by the observation of a complex variation of competing and/orcoexisting phases. We show that the ferroelectric-type charge order increasestwo-dimensional antiferromagnetic spin correlation, whereas in theone-dimensional regime two different spin-Peierls states are stabilized. Byusing first-principles band calculations for the estimation for the transferintegrals and comparing our results with the experiments, we identify thecontrolling parameters in the experimental phase diagram to be not only theinterchain transfer integrals but also the amplitude of the charge order.

Tuning the magnetic dimensionality by charge ordering in the molecular TMTTF salts