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Lambert W function framework for graphene nanoribbon quantum sensing: Theory, verification, and multi-modal applications
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DOI：10.1016/j.rineng.2026.112238.png)
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Abstract
En 中文
• Lambert W branch-point at zc=−1/e yields δ−1/2 sensitivity enhancement. • FSW-GNR analogy validated: 2πℏvF/3=1.379 matches empirical 1.38 eV · nm to 0.1%. • Tight-binding benchmark confirms the band-gap correspondence across W=2--20nm. • Universal law SX=GkηenhPX spans biomedical, gas, and physical sensing. • Branch-point ηenh predicts multiplicative gains over demonstrated device detection limits.
Keywords:
Graphene nanoribbons
Lambert W function
Quantum sensing
Finite square well
Sensitivity enhancement
Branch-point singularity
Journal
IF:
7.9
Papers:
1.1W
Citations:
1.7W
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