Advances in wearable technology, IoT, and mobile applications have increased the demand for ultra-low-power electronic devices. Adiabatic Logic Circuit (ALC) is a design technique utilized in digital circuits to decrease the power consumption by decreasing the dynamic power dissipation. Current technologies face challenges in achieving both high performance and ultra-low power consumption. This research work introduces a novel approach in digital circuit design, specifically the Gate All-around Carbon Nanotube Field Effect Transistor with Discrepancy Cascode Pass Transistor Adiabatic Logic (GAA-CNTFET-DCPTAL), tailored for ultra-low power applications. This design operates efficiently with a four-phase Power Clock (PC) and demonstrates remarkable performance by achieving operation frequencies of up to 1 GHz while minimizing energy dissipation. GAA-CNTFET provides superior electrostatic control and high carrier mobility, reducing leakage currents and enhancing switching speeds. Simultaneously, Discrepancy Cascode Pass Transistor Adiabatic Logic (DCPTAL) uses adiabatic logic principles and a cascode structure to minimize energy dissipation during switching events. The technology node of proposed model is 10 nm. The software used for assessment is HSPICE is used for the simulation and validation of the proposed design. The proposed GAA-design attains 25.36 %, 14.28 %, and 16.06 % lower average power analyzed with existing techniques, such as Design with Evaluation of Clocked Differential Adiabatic Logic Families for the applications of low Power (DE-CDAL-LPA), Adiabatic logic-base strong ARM comparator for ultra-low power applications (AL-SARM-ULPA) and Analysis of 2PADCL Energy Recovery Logic for Ultra Low Power VLSI Design for SOC with Embedded Applications (2PADCL-ULP-VLSI) respectively.