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Helical edge states exist in the mixed spin-singlet and -triplet phase of anoncentrosymmetric superconductor (NCSS) when the pair amplitude (PA) in thenegative helicity band, $\Delta_-$, is smaller than the PA in the positivehelicity band, $\Delta_+$, i.e., when the PA in the triplet component is morethan the same in the singlet component. We numerically determine energies ofthese edge states as a function of $\gamma = \Delta_-/\Delta_+$. The presenceof these edge states is reflected in the tunneling process from a normal metalto an NCSS across a bias energy $eV$: (i) Angle resolved spin conductance (SC)obeying the symmetry $g_s(\phi) =-g_s(-\phi)$ shows peaks when the bias energyequals the available quasiparticle edge state energy provided $|eV| \lesssim\Delta_-$. (ii) The total SC, $G_s$, is zero but modulates with $eV$ for finitemagnetic field $H$. (iii) The zero bias peaks of $G_s$ and total chargeconductance, $G_c$, at finite $H$ split into two at finite $eV$ for moderate$H$. (iv) At zero bias, $G_c$ and $G_s$ increase with $H$ and show peaks at$|H|\sim \gamma H_0$ where $H_0$ is a characteristic field.

Manifestation of helical edge states as zero-bias magneto-tunneling-conductance peaks in non-centrosymmetric superconductors