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Most superconducting materials have an inversion center in their crystallattices. One of few exceptions is the recently discovered heavy-fermionsuperconductor CePt3Si [E. Bauer et al, Phys. Rev. Lett. 92, 027003 (2004)]. Inthis paper, we analyze the implications of the lack of inversion symmetry forthe superconducting pairing. We show that the order parameter is an oddfunction of momentum, and that there always are lines of zeros in theexcitation energy gap for one-component order parameters, which seems to agreewith the experimental data. The superconducting phase can be non-uniform, evenwithout external magnetic field, due to the presence of unusual gradient termsin the Ginzburg-Landau free energy. Also, we performed ab initio electronicstructure calculations for CePt3Si, which showed that the spin-orbit couplingin this material is strong, and the degeneracy of the bands is liftedeverywhere except along some high symmetry lines in the Brillouin zone.Comment: 10 pages, 3 color figure

physical review. b, condensed matter and materials physics

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">CePt</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mi mathvariant="normal">Si</mml:mi><mml:mo>:</mml:mo></mml:math>An unconventional superconductor without inversion center

CePt3Si:An unconventional superconductor without inversion center