Dissipation and quantum fluctuations in granular superconductivity
Matthew P. A. Fisher
DOI 10.1103/PhysRevB.36.1917 · Physical Review B
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Abstract
The effects of dissipation and quantum fluctuations on the onset of superconductivity are discussed. A model for a granular superconductor is considered which consists of a d-dimensional array of resistively shunted Josephson junctions with charging energy incorporating the long-ranged Coulomb interaction. In one dimension the model exhibits a T=0 dynamical transition into a state with vanishing resistivity at a critical value of the shunt resistance, RS. Most surprisingly the system is always statically disordered even in the superconducting state. For d≥2 both the dynamical response and static ordering depend sensitively on RS. Specifically, for RS less than a critical value of order the quantum of resistance, h/4e2, the dissipation suppresses quantum fluctuations enabling the array to order at T=0 for arbitrarily weak Josephson coupling. Above this critical resistance and for weak coupling, the order parameter suffers phase slips due to quantum tunneling driving the system normal.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| Sn Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | — | Pressure not reported | unknown |
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