Quantum-Classical Transition Analogy of Diffusion-Mobility Relation for Organic Semiconductors

We propose the quantum-classical transition analogy for Einstein’s diffusion-mobility (D/μ) relation to reveal the electron hole dynamics in both the degenerate and nondegenerate molecular solids. Here, one to one variation between differential entropy and chemical potential (Δη/Δhs) is the proposed analogy, which unifies quantum and classical transport. The degeneracy stabilization energy on D/μ decides whether the transport is quantum or classical; accordingly, the transformation occurs in the Navamani-Shockley diode equation.