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We study the leading low temperature dependence of magnetic susceptibility ofone-dimensional electrons with fixed total number of particles at the magneticfields equal to zero temperature critical values where magnetic field inducescommensurate-incommensurate quantum phase transitions. For free and repulsivelyinteracting electrons there is only one such critical field corresponding tothe transition to the fully polarized state. For attractively interactingelectrons besides saturation field there is another critical field equal to thespin gap where zero temperature magnetization sets in. For all cases, except ofthe lattice models at half filling, the magnetic susceptibility at criticalvalues of magnetic field has a universal logarithmic temperaturedependence,x(T)=x(0)(1+2/Log(T)+...) for T -> 0.

Universal logarithmic temperature dependence of magnetic susceptibility of one-dimensional electrons at critical values of magnetic field