Phase diagram of the lattice superconductor

Journal Article · Mon Aug 01 00:00:00 EDT 1988 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.38.2543· OSTI ID:6966876

Shenoy, S R; Gupte, N

In a mean-field approximation the phase transition of a lattice superconductor is understood in terms of an orientation of its topological excitations (vortex loops and magnetic field loops). The loops are obtained through a duality transformation of the original variables. The phase boundary T/sub c/(e/sup 2/,b/sup -1/) is found as a function of the charge e and a Ginzburg-Landau quartic term coefficient b. Second-order behavior is found for a region b>b/sub c/(e/sup 2/) and a tricritical point with first-order behavior appears for bT/sub c/(e/sup 2/, b/sup -1/) is also found, consistent with the early continuum results of Halperin, Lubensky, and Ma (HLM). T/sub HLM/(e/sup 2/,b/sup -1/) is associated with ordering within a superconducting grain, while T/sub c/(e/sup 2/,b/sup -1/) involves phase locking between grains.

• Research Organization: School of Physics, University of Hyderabad, Hyderabad 500 134, Andhra Pradesh, India
• OSTI ID: 6966876
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 38:4; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
COLLECTIVE EXCITATIONS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
DIAGRAMS
ENERGY-LEVEL TRANSITIONS
EXCITATION
FIELD THEORIES
GINZBURG-LANDAU THEORY
GRANULAR MATERIALS
LATTICE FIELD THEORY
MATERIALS
MATHEMATICAL MODELS
MATHEMATICS
MEAN-FIELD THEORY
PARTICLE MODELS
PHASE DIAGRAMS
QUANTUM FIELD THEORY
SUPERCONDUCTORS
TOPOLOGY
UNIFIED GAUGE MODELS