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Spin polarized electrons in a metallic quantum wire

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Abstract

We obtain explicit expressions for the spin-resolved density response functions of a spin polarized metallic quantum wire by including the first-order exchange and self-energy contributions to the random-phase approximation. These are used to calculate the spin-resolved static structure factors, pair-correlation functions, and correlation energy of the system for various values of the spin-polarization parameter ζ. The inclusion of first-order correction is found to bring the present approximate theory in overall very good agreement with the recent quantum Monte Carlo simulations by Shulenburger et al. [L. Shulenburger, M. Casula, G. Senatore, R.M. Martin, J. Phys. A 42, 214021 (2009)]. Particularly, we find excellently close results for the fully spin-polarized (i.e., ζ = 1) electrons for even larger coupling (r s ~ 4), implying a fairly good description of exchange correlations. Interestingly, there is no crossover found from para- to ferro-magnetic ground state. The static charge and spin susceptibilities, and spin sound are obtained analytically and found to be in good agreement with the available quantum Monte Carlo simulations. Furthermore, we present results for the wavevector dependent static charge density, spin density, and charge-spin density susceptibilities for some wire parameters. The dispersion of spin sound has also been obtained and found to be strongly dependent on wire width and density parameter.

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References

  1. S.A. Wolf, D.D. Awschalom, R.A. Buhrman, J.M. Daughton, S. Von Molnar, M.L. Roukes, A.Y. Chtchelkanova, D.M. Treger, Science 294, 1488 (2001)

    Article  ADS  Google Scholar 

  2. I. Zutic, J. Fabian, S.D. Sarma, Rev. Mod. Phys. 76, 323 (2004)

    Article  ADS  Google Scholar 

  3. L. Shulenburger, M. Casula, G. Senatore, R.M. Martin, J. Phys. A 42, 214021 (2009) and private communication

    Article  ADS  Google Scholar 

  4. L. Shulenburger, M. Casula, G. Senatore, R.M. Martin, Phys. Rev. B 78, 165303 (2008)

    Article  ADS  Google Scholar 

  5. V. Garg, R.K. Moudgil, Physica E 47, 217 (2013)

    Article  ADS  Google Scholar 

  6. K.S. Singwi, M.P. Tosi, R.H. Land, A. Sjölander, Phys. Rev. 176, 589 (1968)

    Article  ADS  Google Scholar 

  7. E. Lieb, D. Mattis, Phys. Rev. 125, 164 (1962)

    Article  ADS  MATH  Google Scholar 

  8. A. Gold, L. Calmels, Philos. Mag. Lett. 74, 33 (1996)

    Article  ADS  Google Scholar 

  9. L. Calmels, A. Gold, Europhys. Lett. 39, 539 (1997)

    Article  ADS  Google Scholar 

  10. A. Gold, L. Calmels, Physica E 2, 426 (1998)

    Article  ADS  Google Scholar 

  11. S. Tanaka, S. Ichimaru, Phys. Rev. B 39, 1036 (1989)

    Article  ADS  Google Scholar 

  12. R.K. Moudgil, P.K. Ahluwalia, K.N. Pathak, Phys. Rev. B 51, 1575 (1995)

    Article  ADS  Google Scholar 

  13. R.K. Moudgil, P.K. Ahluwalia, K.N. Pathak, Phys. Rev. B 52, 11945 (1995)

    Article  ADS  Google Scholar 

  14. B. Tanatar, N. Mutluay, Eur. Phys. J. B 1, 409 (1998)

    Article  ADS  Google Scholar 

  15. B. Davoudi, M.P. Tosi, Physica B 322, 124 (2002)

    Article  ADS  Google Scholar 

  16. John F. Dobson, Hung M. Le, G. Vignale, Phys. Rev. B 70, 205126 (2004)

    Article  ADS  Google Scholar 

  17. K. Kumar, V. Garg, R.K. Moudgil, Phys. Rev. B 79, 115304 (2009)

    Article  ADS  Google Scholar 

  18. F. Kanjouri, A.H. Esmailian, M. Molayem, Eur. Phys. J. B 79, 429 (2011)

    Article  ADS  Google Scholar 

  19. J.S. Kim, S. Park, K.S. Yi, J. Korean Phys. Soc. 58, 1429 (2011)

    Article  Google Scholar 

  20. A.K. Rajagopal, Phys. Rev. 142, A152 (1965)

    Article  Google Scholar 

  21. A.K. Rajagopal, J. Rath, J.C. Kimball, Phys. Rev. B 7, 2657 (1973)

    Article  ADS  Google Scholar 

  22. A.K. Rajagopal, S.P. Singhal, M. Banerjee, J.C. Kimball, Phys. Rev. B 17, 2262 (1978)

    Article  ADS  Google Scholar 

  23. G.S. Atwal, I.G. Khalil, N.W. Ashcroft, Phys. Rev. B 67, 115107 (2003)

    Article  ADS  Google Scholar 

  24. B. Davoudi, R. Asgari, M. Polini, M.P. Tosi, Phys. Rev. B 68, 155112 (2003)

    Article  ADS  Google Scholar 

  25. D.J. Kim, H.C. Praddaude, B.B. Schwartz, Phys. Rev. Lett. 23, 419 (1969)

    Article  ADS  Google Scholar 

  26. D.J. Kim, B.B. Schwartz, H.C. Praddaude, Phys. Rev. B 7, 205 (1973)

    Article  ADS  Google Scholar 

  27. G.F. Giuliani, G. Vignale, Quantum Theory of the Electron Liquid (Cambridge University Press, Cambridge, 2005)

  28. T. Giamarchi, Quantum Physics in one Dimension (Oxford University Press, New York, 2006)

  29. D.N. Zubarev, Usp. Fiz. Nauk. 71, 71 (1960) [English Translation: Sov. Phys. Ucp. 3, 320 (1960)]

    MathSciNet  Google Scholar 

  30. R. Bala, R.K. Moudgil, S. Srivastava, K.N. Pathak, J. Phys.: Condens. Matter 24, 245302 (2012)

    ADS  Google Scholar 

  31. D.J.W. Gledart, R. Taylor, Can. J. Phys. 48, 155 (1969)

    Article  ADS  Google Scholar 

  32. J. Hubbard, Proc. Roy. Soc. Ser. A 243, 336 (1957)

    Article  ADS  MathSciNet  Google Scholar 

  33. M. Casula, S. Sorella, G. Senatore, Phys. Rev. B 74, 245427 (2006)

    Article  ADS  Google Scholar 

  34. H.J. Schulz, Phys. Rev. Lett. 71, 1864 (1993)

    Article  ADS  Google Scholar 

  35. G.D. Mahan, Many-Particle Physics, 2nd edn. (Plenium, New York, 1990)

  36. K.J. Thomas et al., Phys. Rev. Lett. 77, 135 (1996)

    Article  ADS  Google Scholar 

  37. D.J. Reilly et al., Phys. Rev. Lett. 89, 246801 (2002)

    Article  ADS  Google Scholar 

  38. L.W. Smith et al., Phys. Rev. Lett. 107, 126801 (2011)

    Article  ADS  Google Scholar 

  39. P.F. Loos, J. Chem. Phys. 138, 064108 (2013)

    Article  ADS  Google Scholar 

  40. O.M. Auslaender, H. Steinberg, A. Yacoby, Y. Tserkovnyak, B.I. Halperin, K.W. Baldwin, L.N. Pfeiffer, K.W. West, Science 308, 88 (2005)

    Article  ADS  Google Scholar 

  41. A.R. Goni, A. Pinczuk, J.S. Weiner, J.M. Calleja, B.S. Dennis, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 67, 3298 (1991)

    Article  ADS  Google Scholar 

  42. A. Schmeller, A.R. Goni, A. Pinczuk, J.S. Weiner, J.M. Calleja, B.S. Dennis, L.N. Pfeiffer, K.W. West, Phys. Rev. B 49, 14778 (1994)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Centre for Advanced Study in Physics, Panjab University, Chandigarh, 160014, India

    Renu Bala, Sunita Srivastava & K. N. Pathak

  2. Department of Physics, Kurukshetra University, Kurukshetra, 136119, India

    R. K. Moudgil

Authors
  1. Renu Bala
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  2. R. K. Moudgil
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  3. Sunita Srivastava
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  4. K. N. Pathak
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Correspondence to K. N. Pathak.

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Bala, R., Moudgil, R.K., Srivastava, S. et al. Spin polarized electrons in a metallic quantum wire. Eur. Phys. J. B 87, 5 (2014). https://doi.org/10.1140/epjb/e2013-40567-3

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