We theoretically investigate the light response of a two-dimensional material with a finite Berry curvature dipole under a static temperature gradient. Based on the semiclassical Boltzmann equation, we derive the frequency-dependent non-Hermitian optical conductivity tensor. For an electron system in ${\mathrm{Cl}}_2{\mathrm{Rh}}_2{\mathrm{S}}_2–\mathrm{GeS}$ heterostructure described by a gapped merging double-Dirac-cone model, we demonstrate the absorption gain of THz light exceeding $-10\%$, which can be tuned by the amplitude and orientation of the temperature gradient, the light frequency, and the chemical potential. An analytical expression for dissipation power is presented. The optical amplification arising from thermally driven steady states offers a path to Berry curvature engineering and thermal control of optoelectronic functionalities.

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• Optical conductivity
• Photoinduced effect
• Thermoelectric effects
• Narrow band gap systems
• Phosphorene
• Boltzmann theory