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Non-centrosymmetric superconductors, whose crystal structure is absent ofinversion symmetry, have recently received special attentions due to theexpectation of unconventional pairings and exotic physics associated with suchpairings. The newly discovered superconductors A2Cr3As3 (A=K, Rb), featured bythe quasi-one dimensional structure with conducting CrAs chains, belongs tosuch kind of superconductor. In this study, we are the first to report thefinding that the superconductivity of A2Cr3As3 (A=K, Rb) has a positivecorrelation with the extent of non-centrosymmetry. Our in-situ high pressure acsusceptibility and synchrotron x-ray diffraction measurements reveal that thelarger bond angle of As-Cr-As in the CrAs chains can be taken as a key factorcontrolling superconductivity. While the smaller bond angle and the distancebetween the CrAs chains also affect the superconductivity due to theirstructural connections with the angle. We find that the larger value of thedifference between the larger and samller angles, which is associated with theextent of the non-centrosymmetry of the lattice structure, is in favor ofsuperconductivity. These results are expected to shed a new light on theunderlying mechanism of the superconductivity in these Q1D superconductors andalso to provide new perspective in understanding other non-centrosymmetricsuperconductors.

Correlation between non-centrosymmetry and superconductivity in quasi-one-dimensional compounds A2Cr3As3 (A=K, Rb)