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Polaron effects and boundary conditions in cylindrical wires

  • Solid and Condensed State Physics
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Abstract.

In this work we show that the polaron effects in cylindrical quantum wires are function of the cylinder radius R0 through the boundary conditions for both the ionic and the electronic motion and through the size dependence of the static and high frequency dielectric constants. We find that the dielectric constants are increasing functions of R0. This fact and the different boundary conditions for the ions and the electrons have the final consequence that polaron self-energy can either be an increasing or a decreasing function of R0.

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References

  • U. Woggon, Optical Properties of Semiconductors Quantum Dots (Springer, Berlin, 1997)

  • L. Jack, P. Hawrylak, A. Wojs, Quantum Dots (Springer-Verlag, Berlin, 1998)

  • A. Eychmüller, A. Mews, H. Weller, Chem. Phys. Lett. 208, 59 (1993); A. Mews, A. Eychmüller, M. Giersig, D. Schooss, H. Weller, J. Phys. Chem. 98, 934 (1994); A. Eychmüller, T. Vossmeyer, A. Mews, H. Weller, J. Lumin. 58, 223 (1994)

    Article  ADS  Google Scholar 

  • J. Del Castillo, V.D. Rodriguez, A.C. Yanes, J. Mendez-Ramos, M.E. Torres., Nanotechnology 16, S300 (2005)

  • X. Peng, L. Manna, W. Wang, J. Wickham, E. Scher, A. Kadanavich, A.P. Alivisados, Nature 404, 59 (2000)

    Article  ADS  Google Scholar 

  • J. Lee, H.N. Spector, J. Appl. Phys. 54, 3921 (1983); J. Lee, H.N. Spector, J. Appl. Phys. 57, 366 (1985); J. Lee, H.N. Spector, J. Appl. Phys. 97, 43511 (2005)

    Article  ADS  Google Scholar 

  • M.H. Degani, O. Hipolito, Phys. Rev. B 35, 9345 (1998)

    Article  ADS  Google Scholar 

  • K. Suenaga, C. Colliex, N. Demoncy, A. Loiseau, H. Pascard, F. Willaime, Science 278, 653 (1997); Y. Zhang, K. Suenaga, C. Colliex, S. Iijima, Science 281, 973 (1998)

    Article  ADS  Google Scholar 

  • L.L. Yang, Z.H. Yang, W.X. Cao, L. Chen, J. Xu, H.Z. Zhang, J. Phys. Chem. B 109, 11501 (2005)

    Article  Google Scholar 

  • G.H. Wang, K.X. Guo, Physica E 28, 14 (2005)

    Article  MATH  ADS  Google Scholar 

  • R.A. Farrer, F.L. Butterfield, V.W. Chen, Fourkas J.YT., Nano Letters 5, 1139 (2005)

    Article  Google Scholar 

  • Z.H. Zhong, Y. Fang, W. Lu, Lu W., Lieber C.M., Nano Letters 5, 1143 (2005)

    Article  Google Scholar 

  • J.W. Haus, S.H. Zhou, I. Honma, H. Komiyama, Phys. Rev. B 47, 1359 (1993)

    Article  ADS  Google Scholar 

  • K. Chang, J.B. Xia, Phys. Rev. B 57, 9780 (1998)

    Article  ADS  Google Scholar 

  • Y. Takahashi, Y. Hayamizu, H. Itoh, M. Yoshida, H. Akiyama, N.L. Pfeiffer, K.W. West, Appl. Phys. Lett. 86, 243101 (2005)

    Article  Google Scholar 

  • D. Ninno, G. Iadonisi, F. Buonocore, Sol. State Comm. 112, 521 (1999)

    Article  Google Scholar 

  • Z.Y. Zeng, Y. Xiang, L.D. Zhang, Eur. Phys. J. B 17, 699 (2000)

    Article  ADS  Google Scholar 

  • S.S.Z. Ashraf, A.C. Sharma, J. Phys.: Cond. Matt. 17, 3043 (2005)

    Article  ADS  Google Scholar 

  • T. Enss, V. Meden, S. Andergassen, X. Barnabé-Theriault, W. Metzner, K. Schönhammer, Phys. Rev. B 71, 155401 (2005)

    Article  ADS  Google Scholar 

  • Z. Jiang, S.Q. Duan, X.G. Zhao, Phys. Lett. A 340, 309 (2005)

    Article  ADS  Google Scholar 

  • C. Ghosh, S. Pal, B. Goswami, P. Sarkar, Chem. Phys. Lett. 407, 498 (2005)

    Article  Google Scholar 

  • G. Cantele, D. Ninno, G. Iadonisi, J. Phys.: Condens. Matter 12, 9019 (2000); G. Cantele, D. Ninno, G. Iadonisi, Nano-Letters 1, 121 (2001)

    Article  ADS  Google Scholar 

  • G. Cantele, G. Piacente, D. Ninno, G. Iadonisi, Phys. Rev. B 66, 113308 (2002); G. Cantele, F. Trani, D.Ninno, G. Iadonisi, J. Phys.: Cond. Matt. 15, 5715 (2003); F. Trani, G. Cantele, D.Ninno, G. Iadonisi, Physica E 22, 808 (2004); G. Cantele, D. Ninno, G. Iadonisi, Phys. Rev. B 64, 125325 (2001); G. Iadonisi, G. Cantele, V. Marigliano Ramaglia, D. Ninno, Phys. Status Solidi B 237, 320 (2003)

    Article  ADS  Google Scholar 

  • H. Leon, J.L. Marin, R. Riera, Physica E 27, 385 (2005)

    Article  ADS  Google Scholar 

  • D. Ninno, G. Iadonisi, F. Buonocore, G. Cantele, G. Di Francia, Sens. Actuators B 68, 17 (2000); F. Buonocore, D. Ninno, G. Iadonisi, Phys. Status Solidi B 225, 343 (2001); G. Cantele, D. Ninno, G. Iadonisi, Phys. Rev. B 61, 13730 (2000)

    Article  Google Scholar 

  • R.C.T. da Costa, Phys. Rev. A 23, 1982 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  • H. Aoki, M. Koshino, D. Takeda, H. Morise, K. Kuroki, Phys. Rev. B 65, 35102 (2002)

    Article  ADS  Google Scholar 

  • G. Parascandolo, G. Cantele, D. Ninno, G. Iadonisi, Phys. Rev. B 68, 245318 (2003)

    Article  ADS  Google Scholar 

  • H. Fröhlich, Adv. Phys. 3, 325 (1954)

    Article  MATH  ADS  Google Scholar 

  • J. Licari, R. Evrard, Phys. Rev. B 15, 2254 (1977)

    Article  ADS  Google Scholar 

  • L. Wendler, R. Haupt, Phys. Stat. Sol. (b) 143, 487 (1987)

    Google Scholar 

  • N. Mori, T. Ando, Phys. Rev. B 43, 5155 (1991)

    Article  Google Scholar 

  • J.J. Shi, S. Ling-Xi, S. Pan, Phys. Rev. B 51, 17681 (1995)

    Article  ADS  Google Scholar 

  • Z.W. Yan, X.X. Liang, Int. J. Mod. Phys. B 15, 3539 (2001)

    Article  ADS  Google Scholar 

  • S. Yu, K. W. Kim., J. Appl. Phys. 82, 3363 (1997)

    Article  ADS  Google Scholar 

  • K. Huang, B. Zhu, Phys, Rev. B 38, 13377 (1988)

    Article  Google Scholar 

  • M.A. Stroscio, K.W. Kim, M.A. Littlejohn, H. Chuang, Phys. Rev. B 42, 1488 (1990)

    Article  ADS  Google Scholar 

  • C.R. Bennett, N.C. Constantinou, M. Babiker, B.K. Ridley, J. Phys.: Cond. Matt. 7, 9819 (1995)

    Article  ADS  Google Scholar 

  • P.A. Knipp, T.L. Reinecke, Phys. Rev. B 48, 5700 (1993)

    Article  ADS  Google Scholar 

  • K.S. Klimin, E.P. Pokatilov, F.M. Fomin, Phys. Stat. Sol. (b) 184, 373 (1994)

    Google Scholar 

  • R. Fuchs, K.L. Kliever, Phys. Rev. 140, A2076 (1985)

  • S.F. Ren, Y.C. Chang, Phys. Rev B 43, 11857 (1991)

    Article  ADS  Google Scholar 

  • B. Zhu, Phys. Rev. B 44, 1926 (1991)

    Article  ADS  Google Scholar 

  • F. Rossi, L. Rota, P. Lugli, E. Molinari, Phys. Rev. B 47, 1695 (1993); H. Rucker, E. Molinari, P. Lugli, Phys. Rev. B 44, 3463 (1991); H. Rucker, E. Molinari, P. Lugli, Phys. Rev. B 45, 6747 (1992)

    Article  ADS  Google Scholar 

  • H.J. Xie, C.Y. Chen, B.K. Ma, Phys. Rev. B, 61, 4827 (2000); H.J. Xie, C.Y. Chen, B.K. Ma, J. Phys.: Cond. Matt. 12, 8623 (2000)

    Article  ADS  Google Scholar 

  • L. Zhang, X.J. Xie, C.Y. Chen, Phys. Rev. B 66, 205326 (2002); Commun. Theor. Phys. 39, 238 (2003); Li Zhang, H.J. Xie, Int. J. Mod. Phys. B 18, 379 (2004)

    Article  ADS  Google Scholar 

  • F. Comas, C. Trallero-Giner, A. Cantarero, Phys. Rev. B 47, 7602 (1993); F. Comas, C. Trallero-Giner, M. Moshinski, J. Phys. Cond. Matt. 7, 1789 (1995)

    Article  ADS  Google Scholar 

  • J.M. Bergues, R. Betancourt-Riera, R. Riera, J.L. Marin, J. Phys.: Cond. Matt. 12, 7983, (2000)

    Article  ADS  Google Scholar 

  • F. Buonocore, G. Iadonisi, D. Ninno, F. Ventriglia, Phys. Rev. B 65, 205415 (2002)

    Article  ADS  Google Scholar 

  • A. Ercelebi, R.T. Senger, Phys. Rev. B 53, 11008 (1996)

    Article  ADS  Google Scholar 

  • E.P. Pokatilov, V.M. Fomin, J.T. Devreese, S.N. Balaban, S.N. Klimin, Physica E 4, 156 (1999)

    Article  ADS  Google Scholar 

  • M. Babiker, J. Phys. C 19, 683 (1988)

    Article  ADS  Google Scholar 

  • N.C. Constantinou, B.K. Ridley, Phys. Rev. B 41, 10622 (1990)

    Article  ADS  Google Scholar 

  • F. Trani, G. Cantele, D. Ninno, G. Iadonisi, Phys. Rev. B 72, 75423 (2005)

    Article  ADS  Google Scholar 

  • T.D. Lee, F. Low, D. Pines, Phys. Rev. 90, 297 (1953)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  • G. Iadonisi, F. Bassani, G. Strinati, Physica Status Solidi (b) 153 (611), 1989; F. Bassani, M. Geddo, G. Iadonisi, D. Ninno, Phys. Rev. B 43, 5296 (1991)

    Google Scholar 

  • M. Abramowitz, I.A. Stegun, Hanbook of Mathematical Functions, (Dover Publications, Inc., N.Y., 1972)

  • O. Sato, Y. Tanaka, M. Kobayashi, Phys. Rev. B 48, 1947 (1993)

    Article  ADS  Google Scholar 

  • G.Q. Hai, F.M. Peeters, J.T. Devreese, Phys. Rev. B 48, 4666 (1993)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Coherentia CNR-INFM and Università di Napoli “Federico II” - Dipartimento di Scienze Fisiche, Complesso Universitario Monte S. Angelo, via Cintia, 80126, Napoli, Italy

    G. Iadonisi, F. Trani, G. Cantele & D. Ninno

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  1. G. Iadonisi
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  2. F. Trani
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  3. G. Cantele
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  4. D. Ninno
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Correspondence to G. Iadonisi.

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Iadonisi, G., Trani, F., Cantele, G. et al. Polaron effects and boundary conditions in cylindrical wires. Eur. Phys. J. B 53, 143–154 (2006). https://doi.org/10.1140/epjb/e2006-00359-6

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