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Zero temperature phase diagram of a small metallic junction

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Zeitschrift für Physik B Condensed Matter

Abstract

We discuss the phase diagram for a metal tunnel junction with quasiparticle dissipation. We present some evidences of aT=0 phase transition induced by dissipation, by means of Monte Carlo simulation and studying the problem by means of a selfconsistent harmonic approximation. When the nominal conductance of the junctioin is large the predictions of the spin wave theory turn out to be correct and the algebraic decay of correlations implies quasi-long range order (phase with infinite susceptibility), this situation corresponds to the absence of a Coulomb blockade voltage threshold. The critical value of the nominal junction resistance is estimated to beR t ≈0.6 kΩ.

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References

  1. Leggett, A.J.: In: Directions in condensed matter physics. Grinstein, G., Mazenko, G. (eds.), Vol. 1. Singapore: World Scientific 1986. Proceedings of the NATO-ASI on Quantum Coherence in Mesoscopic Systems: Les Arcs 1990. Kramer, B., Mooij, J.E. (eds.). New York: Plenum Press 1991

    Google Scholar 

  2. Caldeira, A.O., Leggett, A.J.: Ann. Phys. (N.Y.)149, 374 (1983)

    Google Scholar 

  3. Schmid, A.: Phys. Rev. Lett.51, 1506 (1983)

    Google Scholar 

  4. Schön, G., Zaikin, A.D.: Phys. Rep.198, 237 (1990)

    Google Scholar 

  5. Guinea, F., Schön, G.: J. Low Temp. Phys.69, 219 (1987)

    Google Scholar 

  6. Kosterlitz, J.M.: Phys. Rev. Lett.37, 1577 (1976)

    Google Scholar 

  7. Brown, R., Simanek, E.: Phys. Rev. B34, 2957 (1986)

    Google Scholar 

  8. Odintsov, A.A.: Zh. Eksp. Teor. Fiz.94, 312 (1988) [Sov. Phys. JETP67, 1265 (1988)]

    Google Scholar 

  9. Averin, D.V., Likharev, K.K.: Zh. Eksp. Teor. Fiz.90, 733 (1986) [Sov. Phys. JETP63, 427 (1986)]

    Google Scholar 

  10. Geerligs, L.J., Anderegg, V.F., Jeugd, C.A. van der, Romijn, J., Mooij, J.E.: Europhys. Lett.10, 79 (1989)

    Google Scholar 

  11. Brown, R., Simanek, E.: Phys. Rev. B38, 9264 (1988); Scalia, V., Falci, G., Fazio, R., Giaquinta, G.: Physica B165&166, 975 (1990); Romano, S.: Nuovo Cimento D10, 1459 (1988); Scalia, V., Falci, G., Fazio, R., Giaquinta, G.: Phys. Rev. Lett.67, 2203 (1991)

    Google Scholar 

  12. Thouless, D.J.: Phys. Rev.187, 732 (1969); Fisher, M.E., Ma, S., Nickel, B.: Phys. Rev. Lett.29, 917 (1972); Battacharjee, J., Chakravarty, S., Richardson, J.L., Scalapino, D.J.: Phys. Rev. B24, 3862 (1980)

    Google Scholar 

  13. Simanek, E.: Phys. Lett. A119, 477 (1987)

    Google Scholar 

  14. Paniukov, S.V., Zaiking, A.D.: J. Low Temp. Phys.73, 1 (1990)

    Google Scholar 

  15. Zwerger, W.: Preprint 1991

  16. Ben-Jacob, E., Mottola, E., Schön, G.: Phys. Rev. Lett.51, 2064 (1983)

    Google Scholar 

  17. Fisher, M.P.A., Zwerger, W.: Phys. Rev. B32, 6190 (1985)

    Google Scholar 

  18. Feynman, R.P., Hibbs, A.R.: Quantum mechanics and path integrals. New York: McGraw-Hill 1965

    Google Scholar 

  19. Himbergen, J. van, Chakravarty, S.: Phys. Rev. B23, 359 (1981)

    Google Scholar 

  20. Kosterlitz, J.M., Thouless, D.J.: J. Phys. C6, 1181 (1973)

    Google Scholar 

  21. Berezinskii, V.L.: Zh. Eksp. Teor. Fiz.59, 907 (1970) [Sov. Phys. JETP, 32, 493 (1971)]

    Google Scholar 

  22. Saito, Y., Müller-Krumbhaar, H.: Phys. Rev. B23, 308 (1981)

    Google Scholar 

  23. Swedsen, R.H.: Phys. Rev. B15, 5421 (1977); Strandburg, K.J., Solla, S., Chester, G.V.: Phys. Rev. B28, 2717 (1983); Strandburg, K.J.: Rev. Mod. Phys.60, 161 (1988)

    Google Scholar 

  24. Cardy, J., Parga, N.: Phys. C. Solid St.13, 571 (1980); Otha, T., Jasnow, D.: Phys. Rev. B20, 139 (1979)

    Google Scholar 

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Scalia, V., Falci, G., Fazio, R. et al. Zero temperature phase diagram of a small metallic junction. Z. Physik B - Condensed Matter 85, 427–433 (1991). https://doi.org/10.1007/BF01307640

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  • DOI: https://doi.org/10.1007/BF01307640

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