Far-field thermal properties of β₁₂ borophene under an external electric field

Borophene has been reported as the latest very promising 2D material. We theoretically investigate the thermal radiation of β₁₂ borophene. β₁₂ borophene has been composited on Ag substrate. Theoretical research frequently mentions three types of model of β₁₂ borophene. The energy bands of the three models are different. Homogeneous and inversion symmetric models have a gapless Dirac cone near the K(K') point, while they are gapped in the inversion non-symmetric model. The homogeneous model has gapless triplet fermions and three-band touching points at high-symmetry points. The optical conductivity exhibits peaks due to the energy transition of high-symmetry points. The radiation spectrum follows Wien's displacement law in homogeneous and inversion symmetric models, while it is broken in the inversion non-symmetric model. The total energy radiation changes as the voltage increases for the three β₁₂ borophene models. The radiation of energy can be controlled by applying a suitable voltage.