Breaking of Ginzburg-Landau description in the temperature dependence of the anisotropy in the nematic superconductor

Abstract

Nematic superconductors are characterized by an apparent crystal symmetry breaking that results in the anisotropy of the in-plane upper critical magnetic field $H_{c2}$. The symmetry breaking is usually attributed to the strain of the crystal lattice. The nature and the value of the strain are debatable. We perform systematic measurements of the $H_{c2}$ anisotropy in the high-quality Sr$_x$Bi$_2$Se$_3$ single crystals in the temperature range 1.8~K$<T<T_c\approx 2.7$~K using temperature stabilization with an accuracy of 0.0001 K. We observe that in all tested samples the anisotropy is weakly temperature dependent when $T<0.8\,T_c$ and smoothly decreases at higher temperatures without any sign of singularity when $T\rightarrow T_c$. Such a behavior {is in a drastic contradiction with the prediction of} the Ginzburg-Landau theory for the nematic superconductors. We discuss possible reasons for this discrepancy.