Two-dimensional superconducting arrays in a magnetic field: Effects of lattice structures

Journal Article · Mon Jul 01 00:00:00 EDT 1985 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.32.158· OSTI ID:5465440

Shih, W Y; Stroud, D

We study the effects of lattice structures on the behavior of two-dimensional ordered superconducting arrays in a transverse magnetic field, using both mean-field approximations and Monte Carlo simulations. The transition temperature T/sub c/ and the ground-state energy E/sub g/ are found to be periodic in the field with a period one flux quantum per lattice cell while the substructure within one period depends upon the underlying lattice structure: The curves T/sub c//sup MF/ and -E/sub g/ show a secondary maximum at f = (1/2) in both square and triangular lattices but at f = (1/3) in honeycomb; furthermore, the triangular array shows a conspicuous cusp at f = (1/4), which is not seen in other lattices but is in apparent agreement with the experiment. (f is the fractional number of flux quanta per lattice cell.) In addition to f = (1/4), a similar double transition is found at f = (3/8) in a triangular lattice. The T = 0 critical current densities, T = 0 helicity moduli, and the Monte Carlo transition temperatures at a few values of f all show similar characteristics.

• Research Organization: Department of Physics, The Ohio State University, Columbus, Ohio 43210-1106
• OSTI ID: 5465440
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Vol. 32:1
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
SUPERCONDUCTORS
CRYSTAL MODELS
MICROSTRUCTURE
PHASE TRANSFORMATIONS
CRITICAL CURRENT
LATTICE PARAMETERS
MAGNETIC FIELDS
MEAN-FIELD THEORY
MONTE CARLO METHOD
CRYSTAL STRUCTURE
CURRENTS
ELECTRIC CURRENTS
MATHEMATICAL MODELS
656101* - Solid State Physics- Superconductivity- General Theory- (-1987)