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We report on high-pressure (p_max = 2.1 GPa) muon spin rotation experimentsprobing the temperature-dependent magnetic penetration depth in the layeredsuperconductor 2H-NbSe_2. Upon increasing the pressure, we observe asubstantial increase of the superfluid density n_s, which we find to scalelinearly with T_c. This linear scaling is considered a hallmark feature ofunconventional superconductivity, especially in high-temperature cupratesuperconductors. Our current results, along with our earlier findings on1T'-MoTe_2 (Z. Guguchia et. al., Nature Communications 8, 1082 (2017)),demonstrate that this linear relation is also an intrinsic property of thesuperconductivity in transition metal dichalcogenides, whereas the ratioT_c/T_F is approximately a factor of 20 lower than the ratio observed inhole-doped cuprates. We, furthermore, find that the values of thesuperconducting gaps are insensitive to the suppression of thequasi-two-dimensional CDW state, indicating that the CDW ordering and thesuperconductivity in 2H-NbSe_2 are independent of each other.

Linear Scaling of the Superfluid Density with the Critical Temperature in the Layered Superconductor 2H-NbSe_2