Josephson junction transmission lines as tunable artificial crystals

Carsten Hutter, Erik A. Tholén, Kai Stannigel, Jack Lidmar, and David B. Haviland
Phys. Rev. B 83, 014511 – Published 20 January 2011

Abstract

We investigate one-dimensional Josephson junction arrays with generalized unit cells as a circuit approach to engineer microwave band gaps. An array described by a lattice with a basis can be designed to have a gap in the electromagnetic spectrum, in full analogy to electronic band gaps in diatomic or many-atomic crystals. We derive the dependence of this gap on the array parameters in the linear regime and suggest experimentally feasible designs to bring the gap below the single-junction plasma frequency. The gap can be tuned in a wide frequency range by applying external flux, and it persists in the presence of small imperfections.

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  • Received 27 June 2008

DOI:https://doi.org/10.1103/PhysRevB.83.014511

© 2011 American Physical Society

Authors & Affiliations

Carsten Hutter1,2, Erik A. Tholén2, Kai Stannigel1,*, Jack Lidmar3, and David B. Haviland2

  • 1Department of Physics, Stockholm University, AlbaNova University Center, SE-106 91 Stockholm, Sweden
  • 2Nanostructure Physics, Royal Institute of Technology, SE-106 91 Stockholm, Sweden
  • 3Theoretical Physics, Royal Institute of Technology, SE-106 91 Stockholm, Sweden

  • *Present address: Institute for Theoretical Physics, University of Innsbruck, and Institute for Quantum Optics and Quantum Information, A-6020 Innsbruck, Austria.

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Vol. 83, Iss. 1 — 1 January 2011

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