A Trivial Geometrical Phase of an Electron Wavefunction in a Direct Band Gap Semiconductor CdGeAs$_{2}$

Abstract

Chalcopyrite compounds are extensively explored for their exotic topological phases and associated phenomena in a variety of experiments. Here, we discuss the electrical transport properties of a direct energy gap semiconductor CdGeAs$_{2}$. The observed transverse magnetoresistance (MR) is found to be around 136% at a temperature of 1.8 K and a magnetic field of 14 T, following the semiclassical exponent MR $\sim$ $B^{2.18}$. The MR analysis exhibits a violation of the Kohler rule, suggesting the involvement of multiple carriers in the system. Below 15 K, with decreasing magnetic field, the MR increases, leading to the well known quantum interference phenomenon weak localization (WL). The analysis of the magnetoconductivity data based on the Hikami-Larkin-Nagaoka (HLN) model unveils three dimensional nature of the WL and the weak spin-orbit coupling in CdGeAs$_{2}$. The phase coherence length follows the $L_{\phi}$ $\sim$ $T^{-0.66}$ power law, which exhibits the 3D nature of the observed WL feature.