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

Journal Article · Wed May 01 00:00:00 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), Vol. 31:9
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
JOSEPHSON JUNCTIONS
CRITICAL CURRENT
MAGNETIC FIELDS
GROUND STATES
SUPERCONDUCTING DEVICES
CURRENTS
ELECTRIC CURRENTS
ENERGY LEVELS
JUNCTIONS
SUPERCONDUCTING JUNCTIONS
656102* - Solid State Physics- Superconductivity- Acoustic
Electronic
Magnetic
Optical
&amp; Thermal Phenomena- (-1987)