Fig. 5: H–T phase diagram of the TiO SIT system.
From: Quantum Griffiths singularities in TiO superconducting thin films with insulating normal states
The plot is based on the experimental data of TiO ~ 17.5 nm. Orange squares, green diamonds, purple hexagons, red circles, and cyan triangles represent the crossing points Hc of the Rs(H) curves in Fig. 3d at neighboring temperatures, the superconducting onset \(T_{\mathrm{c}}^{{\mathrm{onset}}}\) (see Supplementary Fig. S10), the upper critical field Hc2 (see Supplementary Fig. S7), the mean field upper critical field \(H_{{\mathrm{c2}}}^{{\mathrm{MF}}}\) derived from the Ullah–Dorsey (UD) scaling (see Supplementary Fig. S17), and the crossover temperature Tcross (see Supplementary Fig. S18), respectively. The solid line is the fitting result based on the WHH model. The true superconducting state is realized below the Berezinskii–Kosterlitz–Thouless (BKT) transition temperature (TBKT) (see Supplementary Fig. S19). A thermal fluctuation regime exists between \(H_{{\mathrm{c2}}}^{{\mathrm{MF}}}\left( T \right)\) and \(T_{\mathrm{c}}^{{\mathrm{onset}}}(T)\). Cyan triangles show the crossover temperature Tcross(H) between the thermal creep regime and the quantum tunneling regime. The system eventually exhibits the quantum Griffiths state up to the characteristic critical magnetic field \(H_{\mathrm{c}}^ \ast\) (red star).
