Sequence of phase transitions induced in an array of Josephson junctions by their crossover to π-state

2009/09/30 by S. E. Korshunov · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Algorithm #Bipartite graph #Chemistry #Combinatorics #Computer science #Condensed matter physics #Crossover #Geometry #Honeycomb #Josephson effect #Mathematics #Phase (matter) #Phase diagram #Phase transition #Physics #Physics of Superconductivity and Magnetism #Pi Josephson junction #Quantum and electron transport phenomena #Quantum mechanics #Semiconductor Quantum Structures and Devices #Sequence (biology) #Square (algebra) #State (computer science) #Superconductivity #cond-mat.supr-con

paper · pdf · doi:10.1209/0295-5075/89/17004

published as EPL 89, 17004 (2010) · 5 pages, v2: as published in EPL

openalex publication_date 2010/01/01 · arxiv created 2010/01/18 · arxiv updated 2015/05/14 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We show that the transition of Josephson junctions between the conventional and π states caused by the decrease in temperature induces in a regular two-dimensional array of such junctions not just a single phase transition between two phases with different ordering but a sequence of two, three or four phase transitions. The corresponding phase diagrams are constructed for the cases of bipartite (square or honeycomb) and triangular lattices.

Citations

• The current-phase relation in Josephson junctions
• Nematic and Chiral Order for Planar Spins on a Triangular Lattice
• Coupling of Two Superconductors through a Ferromagnet: Evidence for aπJunction
• Existence of Long-Range Order in One and Two Dimensions
• Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
• Kink Pairs Unbinding on Domain Walls and the Sequence of Phase Transitions in Fully FrustratedXYModels

Cited by

• Phase transitions in generalized XY models