Effect of the electromagnetic environment on the dynamics of charge and phase particles in one-dimensional arrays of small Josephson junctions

¹ Institute of Physics, Academia Sinica - Taipei 115, Taiwan
² Department of Physics, National Chung Hsing University - 250, Taichung, Taiwan
³ Department of Electronic Engineering, National Chiao-Tung University - Hsinchu 300, Taiwan
⁴ Department of Physics, National Taiwan University - Taipei 106, Taiwan
⁵ Department of Physics, National Chang-Hua University of Education - ChangHua 500, Taiwa n
⁶ Department of Physics, National Chen-Kung University - Tainan 701, Taiwan

^a wucs@cc.ncue.edu.tw

Received: 29 March 2011
Accepted: 30 September 2011

Abstract

The effect of the electromagnetic environment on the dynamics of quasi-particles, Cooper pairs and phase particles in one-dimensional arrays of small Josephson junctions is investigated experimentally and theoretically. It is found that the environment enhances the phase ordering and thus suppresses quasi-particle tunneling at high temperature and localization of Cooper pairs at low temperature. The dynamics is studied in the context of phase-charge duality, and the experimental results are quantitatively analyzed in both charge-ordered and phase-ordered regimes. Based on these analyses, a low-temperature phase diagram as well as a finite-temperature crossover phase diagram are constructed and compared to the experimental diagrams.