This study utilizes the Kane-Mele (KM) and Hubbard models
to investigate
the thermodynamic and magnetic properties of the α-T3 system, a two-dimensional (2D) material with unique electronic characteristics.
The α-T3 system features a distinct flat band in
its electronic structure, influencing its behavior under various external
conditions such as spin–orbit coupling (SOC), on-site Coulomb
repulsion (OSCR), temperature, and doping. The research demonstrates
how SOC and OSCR significantly change the electronic density of states,
electronic heat capacity, and Pauli magnetic susceptibility. Notably,
SOC induces band splitting, while increased OSCR shifts and splits
the flat band, enhancing thermodynamic properties. The results display
that the α-T3 system exhibits paramagnetic behavior
for a SOC strength (λ) of 0.5 eV and an α value of 0.5.
An intriguing observation is that OSCR induces a transition from a
paramagnetic phase to an antiferromagnetic phase. These findings highlight
the potential of the α-T3 system for applications
in spintronics, thermal management, and nanoelectronics, offering
new avenues for technological advancements in energy storage and sensing.