T-graphene has four atoms in its unit cell and is a member of the graphene allotrope family. In this essay, our computations were done using the tight-binding approach and in the presence of an external magnetic field. Also, the Density of states (DOS), electronic heat capacity, and Pauli susceptibility of T-graphene monolayer under the influence of parameters such as external magnetic field, temperature, and strain have been studied with the help of Green's function model. On the other hand, the metallic property is evident in the DOS and band structure for the T-graphene monolayer. Observations of the electronic heat capacity's temperature dependence illustrate variable states, showing an increase under external magnetic field and tensile biaxial strain and a decrease under compressive biaxial strain. On the other hand, studies on the Pauli susceptibility under the control of different parameters show the paramagnetic property of the T-graphene monolayer.
