  We present a comprehensive study of magnetoconductivity for general
three-dimensional non-magnetic metals within the Berry-curvature-corrected
semiclassical and Boltzmann framework. We find a new contribution, which is
intrinsic in the sense that its ratio to the zero-magnetic-field conductivity
is fully determined by the intrinsic band properties, independent of the
transport relaxation time, showing a clear violation of Kohler's rule.
Remarkably, this contribution can generally be positive for the longitudinal
configuration, providing a new mechanism for the appearance of positive
magnetoconductivity under longitudinal configuration besides the chiral anomaly
effect.
