Josephson-junction arrays in transverse magnetic fields: Ground states and critical currents

Journal Article · Wed May 01 04:00:00 EDT 1985 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.31.5728· OSTI ID:5901520

Halsey, T C

Josephson-junction arrays in transverse magnetic fields are most simply described by uniformly frustrated XY models. Frustration in these models is parametrized by f, the ratio of the magnetic flux through one cell of the array to the magnetic flux quantum. We propose a quasi-one-dimensional structure for the ground states of these models, valid for (1/3)< or =f< or =(1/2). The energies and zero-temperature critical currents for this structure can be calculated exactly. For rational f = p/q, energies and critical currents are functions of q only; for irrational f, they are independent of f. Numerical calculations of the ground-state form agree with this quasi-one-dimensional conjecture for several f in the range (1/3)< or =f< or =(1/2). .AE

• Research Organization: Department of Physics, Harvard University, Cambridge, Massachusetts 02138
• OSTI ID: 5901520
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 31:9; ISSN PRBMD
• Country of Publication: United States
• Language: English

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75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CRITICAL CURRENT
CURRENTS
ELECTRIC CURRENTS
ENERGY LEVELS
GROUND STATES
JOSEPHSON JUNCTIONS
JUNCTIONS
MAGNETIC FIELDS
SUPERCONDUCTING DEVICES
SUPERCONDUCTING JUNCTIONS