Abstract:The response characteristics of terahertz (THz) detectors based on graphene nanoribbons(GNRs) with the lateral p-i-n structure were studied. With the consideration of carrier mobility, carrier diffusion, carrier generation, carrier recombination, the mathematical model of THz detectors was established based on carrier transport equation and Poisson equation. The terahertz response of the graphene nanoribbons terahertz detector was simulated according to this mathematical model. The band diagram of the p-i-n diode whose p-section and n-section are induced by the reverse gate voltage was obtained. Then the primary factors influencing on the response current, such as nanoribbons width, i-section length and bias voltage were discussed. It is indicated that the response current increases with the i-section length, reaches the maximum when the length of i-section and bias voltage are matched, and decreases when the i-section continues to increase. The photocurrent increases with the bias voltage, and will saturate gradually when the space charge region extends to the entire i-section region. The band gap and response frequence decrease with the increase of the nanoribbons’ width.