Recently we reported an enhanced superconductivity in restacked monolayer TaS 2 nanosheets compared with the bulk TaS 2 , pointing to the exotic physical properties of low dimensional systems. Here we tune the superconducting properties of this system with magnetic field along different directions, where a strong Pauli paramagnetic spin-splitting effect is found in this system. Importantly, an unusual enhancement as high as 3.8 times of the upper critical field B c2 , as compered with the Ginzburg-Landau (GL) model and Tinkham model, is observed under the inclined external magnetic field. Moreover, with the out-of-plane field fixed, we find that the superconducting transition temperature T c can be enhanced by increasing the in-plane field and forms a dome-shaped phase diagram. An extended GL model considering the special microstructure with wrinkles was proposed to describe the results. The restacked crystal structure without inversion center along with the strong spin-orbit coupling may also play an important role for our observations. ). Y.H.M. and J.P. contributed equally to this work.Here we present a detailed investigation on the Abrikosov vortex phase of the above-mentioned superconductor, restacked TaS 2 nanosheets, by measuring the conducting properties with magnetic fields along different directions. The in-plane upper critical field B ab c2 is clear larger than the Pauli paramagnetic limiting fields B P , indicating a strong Pauli paramagnetic spin-splitting effects in this material. Importantly, the angle dependence of the upper critical field deviates severely from the Ginzburg-Landau (GL) model and Tinkham model. Moreover, the value of T c is found to increase with the in-plane field B ab under a fixed out-of-plane field B c . Both the intrinsic and extrinsic origins for the observations were discussed and we found that the highly noncentrosymmetric crystal structure, the strong spin-orbit coupling, and the special microstructure with wrinkles are important factors for the unusual behaviors we observed.
ResultsDetails regarding the samples preparation and resistance measurements are given in the Methods section. By a careful characterization using combining methods, the structure of the restacked TaS 2 was determined and reported in our previous paper 9 . The inter-layer spacing is close to bulk 2H-TaS 2 , while the 2H symmetry has been broken after the restacking process because of rotations between different layers (see Fig. S1). In such a structure, both the in-plane inversion symmetry in each individual layer and the global inversion symmetry are broken. As a consequent, the inversion symmetry breaking will be severer than the bulk, monolayer, and few layered TaS 2