Aharonov-Bohm effect: gauge-invariant phase, period Φ_0 = h/e

Layer 1 — Physicsin the mesoscopic-physics subtree

Aharonov-Bohm 1959 (Phys. Rev. 115:485) — a charged particle encircling a region of magnetic flux Φ acquires a gauge-invariant phase φ = (e/ℏ)·∮A·dℓ = 2π·Φ/Φ_0 with flux quantum Φ_0 = h/e, even if the magnetic field vanishes everywhere…

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