Hostname: page-component-586b7cd67f-tf8b9 Total loading time: 0 Render date: 2024-11-25T17:59:28.309Z Has data issue: false hasContentIssue false

Phase Transitions in Dissipative Josephson Chains

Published online by Cambridge University Press:  28 February 2011

P.A. Bobbert
Affiliation:
Department of Applied Physics, Delft University of Technology, 2628 CJ Delft, The Netherlands
R. Fazio
Affiliation:
Department of Applied Physics, Delft University of Technology, 2628 CJ Delft, The Netherlands
Gerd Schon
Affiliation:
Department of Applied Physics, Delft University of Technology, 2628 CJ Delft, The Netherlands
GT. Zimanyi
Affiliation:
Department of Physics, University of California, Davis CA 95616
Get access

Abstract

We study the zero temperature phase transitions of a chain of Josephson junctions, taking into account the quantum fluctuations due to the charging energy and the effects of an Ohmic dissipation. We map the problem onto a generalized Coulomb gas model, which then is transformed into a sine-Gordon field theory. Apart from the expected dipole unbinding transition, which describes a transition between globally superconducting and resistive behavior, we find a quadrupole unbinding transition at a critical strength of the dissipation. This transition separates two superconducting states characterized by different local properties.

Type
Research Article
Copyright
Copyright © Materials Research Society 1990

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Kosterlitz, J.M. and Thouless, D.J., J. Phys. C6 (1973) 1181; V.L. Berezinskii, Zh. Eksp. Teor. Fiz. 59 (1970) 907 (Sov. phys. JETP 32 (1970) 493).Google Scholar
2. Abeles, B., Phys. Rev. B 15 (1977) 2828.Google Scholar
3. Bradley, R.M. and Doniach, S., Phys. Rev. B 30 (1984) 1138.Google Scholar
4. Jaeger, H.M. et al. , Phys. Rev. B 34 (1986) 4920; Phys. Rev. B 40 (1989) 182.Google Scholar
5. Geerligs, L.G. and Mooij, J.E., Physica B 152 (1988) 212; L.J. Geerligs, M. Peters, L.E.M. de Groot, A. Verbruggen, and J.E. Mooij, Phys. Rev. Lett. 63, 326 (1989).Google Scholar
6. Caldeira, A.O. and Leggett, A.J., Ann. Phys. (N.Y.) 149 (1983) 374.Google Scholar
7. Villain, J., J. Phys. 36 (1975) 581; M.P.A. Fischer and D.H. Lee, Phys. Rev. B. 39 (1989) 2756.Google Scholar