Dissipation and quantum fluctuations in granular superconductivity
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, R/sub S/. Most surprisingly the system is always statically disordered even in the superconducting state. For dgreater than or equal to2 both the dynamical response and static ordering depend sensitively on R/sub S/. Specifically, for R/sub S/ less than a critical value of order the quantum of resistance, h/4e/sup 2/, 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.
- Research Organization:
- IBM Thomas J. Watson Research Center, Yorktown Heights, New York 10598
- OSTI ID:
- 6459649
- Journal Information:
- Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 36:4; ISSN PRBMD
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ABSOLUTE ZERO TEMPERATURE
COULOMB FIELD
ELECTRIC CONDUCTIVITY
ELECTRIC FIELDS
ELECTRICAL EQUIPMENT
ELECTRICAL PROPERTIES
EQUIPMENT
FLUCTUATIONS
GRANULAR MATERIALS
JOSEPHSON JUNCTIONS
JUNCTIONS
MATERIALS
MECHANICS
ORDER PARAMETERS
PHYSICAL PROPERTIES
QUANTUM MECHANICS
RESISTORS
STRUCTURAL MODELS
SUPERCONDUCTING JUNCTIONS
SUPERCONDUCTIVITY
TUNNEL EFFECT
VARIATIONS