  The thermal properties of a system, comprising of a spinless non-interacting
charged particle in the presence of a constant external magnetic field and
confined in a parabolic quantum well are studied. The focus has been on the
effects of a topological defect, of the form of conical disclination, with
regard to the thermodynamic properties of the system. We have obtained the
modifications to the traditional Landau-Fock-Darwin spectrum in the presence of
conical disclination. The effect of the conical kink on the degeneracy
structure of the energy levels is investigated. The canonical formalism is used
to compute various thermodynamic variables. The study shows an interplay
between magnetic field, temperature and the degree of conicity by setting two
scales for temperature corresponding to the frequency of the confining
potential and the cyclotron frequency of external magnetic field. The kink
parameter is found to affect the quantitative behaviour of the thermodynamic
quantities. It plays a crucial role in the competition between the external
magnetic field and temperature in fixing the values of the thermal response
functions. This study provides an important motivation for studying similar
systems, however with non trivial interactions in the presence of topological
defects.
