Experimental Study of Spectral Properties of a Frenkel-Kontorova System

M. Lucci, D. Badoni, V. Merlo, I. Ottaviani, G. Salina, M. Cirillo, A. V. Ustinov, and D. Winkler
Phys. Rev. Lett. 115, 107002 – Published 3 September 2015

Abstract

We report on microwave emission from linear parallel arrays of underdamped Josephson junctions, which are described by the Frenkel-Kontorova (FK) model. Electromagnetic radiation is detected from the arrays when biased on current singularities (steps) appearing at voltages Vn=Φ0(nc¯/L), where Φ0=2.07×1015Wb is the magnetic flux quantum, and c¯, L, and n are, respectively, the speed of light in the transmission line embedding the array, L its physical length, and n an integer. The radiation, detected at fundamental frequency c¯/2L when biased on different singularities, indicates shuttling of bunched 2π kinks (magnetic flux quanta). Resonance of flux-quanta motion with the small-amplitude oscillations induced in the arrays gives rise to fine structures in the radiation spectrum, which are interpreted on the basis of the FK model describing the resonance. The impact of our results on design and performances of new digital circuit families is discussed.

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  • Received 6 March 2015

DOI:https://doi.org/10.1103/PhysRevLett.115.107002

© 2015 American Physical Society

Authors & Affiliations

M. Lucci, D. Badoni, V. Merlo, I. Ottaviani, G. Salina, and M. Cirillo*

  • Dipartimento di Fisica and MINAS Lab, Università di Roma Tor Vergata, 00133 Roma, Italy and INFN sezione “Tor Vergata”, via della Ricerca Scientifica, 00133 Roma, Italy

A. V. Ustinov

  • Physikalisches Institut, Karlsruhe Institute of Technology, D-76128 Karlsruhe, Germany and National University of Science and Technology MISIS, Leninsky prosp. 4, Moscow 119049, Russia

D. Winkler

  • Department of Microtechnology and Nanoscience–MC2, Chalmers University of Technology, SE-412 96 Göteborg, Sweden

  • *Also at CNR-SPIN Institute, via Giovanni Paolo II, 84084 Fisciano, Italy.

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Issue

Vol. 115, Iss. 10 — 4 September 2015

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