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We calculate the upper critical field in superconductors without inversionsymmetry at arbitrary temperatures, in the presence of scalar impurities. Bothorbital and spin (paramagnetic) mechanisms of pair breaking are considered. Thesuperconducting phase transition at nonzero field occurs into a helical vortexstate, in which the order parameter is modulated along the applied field (in acubic crystal). The helical state is stable with respect to disorder. However,if the difference between the densities of states in the electron bands splitby spin-orbit coupling is neglected, then the order parameter modulation ispresent only at low temperatures, and only if the system is sufficiently cleanand paramagnetically limited. This state resembles theLarkin-Ovchinnikov-Fulde-Ferrell state in centrosymmetric superconductors.

Upper critical field in noncentrosymmetric superconductors