Exact Analytic Formula for Conductance Predicting a Tunable Sommerfeld–Arrhenius Thermal Transition within a Single‐Step Tunneling Mechanism in Molecular Junctions Subject to Mechanical Stretching

We show that the conductance $G$ of molecular tunnel junctions wherein charge transport is dominated by a single energy level can be expressed in closed analytic form which exact and valid at arbitrary temperature $T$ model parameter values. On this basis, we single-step tunneling mechanism compatible with continuous thermal transition from weakly $T$-dependent low (Sommerfeld regime) to nearly exponential $1/T$-dependent high (Arrhenius-like regime). predict Sommerfeld-Arrhenius observed real % (e.g., based on perylene diimide) continuously tuned, e.g., via mechanical stretching.