Dissipation and quantum fluctuations in granular superconductivity

Journal Article · Sat Aug 01 00:00:00 EDT 1987 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.36.1917· OSTI ID:6459649

Fisher, M P.A.

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), Vol. 36:4
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
GRANULAR MATERIALS
SUPERCONDUCTIVITY
ABSOLUTE ZERO TEMPERATURE
COULOMB FIELD
FLUCTUATIONS
JOSEPHSON JUNCTIONS
ORDER PARAMETERS
QUANTUM MECHANICS
RESISTORS
STRUCTURAL MODELS
TUNNEL EFFECT
ELECTRIC CONDUCTIVITY
ELECTRIC FIELDS
ELECTRICAL EQUIPMENT
ELECTRICAL PROPERTIES
EQUIPMENT
JUNCTIONS
MATERIALS
MECHANICS
PHYSICAL PROPERTIES
SUPERCONDUCTING JUNCTIONS
VARIATIONS
656100* - Condensed Matter Physics- Superconductivity