Thermodynamic studies of Cu$_{0.10}$TiSe$_2$ via ac-calorimetry and Hall-probe magnetometry

TiSe$_{2}$ is a compound with the charge density wave (CDW) transition at 200 K, the CDW state is gradually suppressed when intercalated by copper and for certain amount of Cu superconductivity occurs. We report the studies of the critical fields of an optimally doped sample with a superconducting transition at $T_{\mathrm{c}}$ $\sim$ 3.9 K. Upper critical field $H_{\mathrm{c2}}$ has been derived from the specific heat measurements while the lower critical field $H_{\mathrm{c1}}$ has been extracted from local magnetization measurements using miniature Hall-probes. The temperature dependence of $H_{\mathrm{c2}}$ and $H_{\mathrm{c1}}$ and its anisotropy will be presented. Moreover, local magnetometry using array of 8 Hall-probes shows that vortices after penetration into the sample move towards the centre resulting into a dome-shape induction profile suggesting relatively low pinning.