Phases of Josephson junction ladders.

  title={Phases of Josephson junction ladders.},
  author={Denniston and Tang},
  journal={Physical review letters},
  volume={75 21},
  • Denniston, Tang
  • Published 6 July 1995
  • Physics, Medicine
  • Physical review letters
We study a Josephson junction ladder in a magnetic field in the absence of charging effects via a transfer matrix formalism. The eigenvalues of the transfer matrix are found numerically, giving a determination of the different phases of the ladder. The spatial periodicity of the ground state exhibits a devil’s staircase as a function of the magnetic flux filling factor f. If the transverse Josephson coupling is varied a continuous superconducting-normal transition in the transverse direction is… 

Figures and Topics from this paper

Vortex interaction in Josephson-junction ladders☆
Abstract We calculate the vortex interaction in Josephson-junction ladders with an external transverse magnetic field. Using the dual transformation we transform the phase model of the
Dynamics of one-dimensional Josephson-junction arrays
Abstract We study the dynamics of one-dimensional arrays of Josephson junctions connected in parallel by superconducting wires. These arrays are model systems for the discrete, damped sine-Gordon
Ground states of a Bose–Hubbard ladder in an artificial magnetic field: field-theoretical approach
We consider a Bose–Hubbard ladder subject to an artificial magnetic flux and discuss its different ground states, their physical properties, and the quantum phase transitions between them. A
Critical fields and devil's staircase in superconducting ladders
Abstract We have used an intuitively simple method to determine the interaction between vortices and ground state for both a ladder array of Josephson junctions and a ladder of thin superconducting
Dynamics Of Kinks And Vortices In Josephson-Junction Arrays
We present an experimental as well as theoretical study of kink motion in one-dimensional arrays of Josephson junctions connected in parallel by superconducting wires. The boundaries are closed to
Superconducting states and depinning transitions of Josephson ladders
We present analytical and numerical studies of pinned superconducting states of open-ended Josephson ladder arrays, neglecting inductances but taking edge effects into account. Treating the edge
Nonlinear dynamics of two-dimensional Josephson junction arrays
Arrays of superconducting Josephson junctions can be modelled as systems of coupled nonlinear oscillators. We present analytical and numerical studies of the spatiotemporal behavior of
Universal Hall Response in Interacting Quantum Systems.
Focusing on SU(M) symmetric interacting bosons and fermions, this work identifies an extensive regime in which the Hall imbalance Δ_{H} is universal and corresponds to a classical Hall resistivity R{H}=-1/n for a large class of quantum phases.
REVIEW ARTICLE: Static properties of classical Josephson junction arrays: models and experimental achievements
This review deals with the static properties of classical Josephson arrays. We first comment on the model describing the system, both in the phase representation - the frustrated XY model - and in
Quantum phases of strongly interacting bosons on a two-leg Haldane ladder
We study the ground-state physics of a single-component Haldane model on a hexagonal two-leg ladder geometry with a particular focus on strongly interacting bosonic particles. We concentrate our


The Riemann problem, complete integrability and arithmetic applications : proceedings of a seminar held at the Institut des hautes études scientifiques, Bures-sur-Yvette, France, and at Columbia University, New York, U.S.A., 1979-1980
Continuous exponents of spin correlation functions of inhomogeneous layered ising models.- to holonomic quantum fields.- Planar ising ferromagnet: correlation functions and the inverse scattering
Introduction to Superconductivity
Appropriate for intermediate or advanced courses in superconductivity, this edition has been revised to incorporate the many new developments in superconductivity. Expanded topic coverage includes
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
Stroud (to be publis e; z ev. B to be published)
  • Phys. Rev. B
  • 1990
  • Rev. B 42, 4797
  • 1990
Phys. Rev. B
  • Phys. Rev. B
  • 1990
in Solitons
  • edited by Trullinger, Zakharov, and Pokrovsky,
  • 1986
Phys. Rev. B Kardar, Phys. Rev. B
  • Phys. Rev. B Kardar, Phys. Rev. B
  • 1984
  • Rev. B 28, 2566
  • 1983
Phys. Rev. B
  • Phys. Rev. B
  • 1983