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Magnetic properties and quantum entanglement on decorated zigzag ladder

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Journal of Contemporary Physics (Armenian Academy of Sciences) Aims and scope

Abstract

Magnetic properties and quantum entanglement of Heisenberg model with two-, three- and four-site exchange interactions on zigzag ladder are studied. Magnetic properties and concurrence (measure of quantum entanglement) are analyzed by means of variational mean-field-like treatment based on the Gibbs-Bogoliubov inequality. The magnetization plateau and second-order phase transition are obtained. A comparison of the entanglement and magnetic characteristics for the zigzag ladder is made. Our calculations show that in the antiferromagnetic region the behavior of the concurrence coincides with that of the magnetization.

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References

  1. Amico, L., Fazio, R., Osterloh, A., and Vedral, V., Rev. Mod. Phys., 2008, vol. 80, p. 517; Gëuhne, O. and Toth, G., Phys. Rep., 2009, vol. 474, p. 1; Horodecki, R. et al., Rev. Mod. Phys., 2009, vol. 81, p. 865.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Wang, X., Fu, H., and Solomon, A.I., J. Phys. A: Math. and Gen., 2001, vol. 34, p. 11307.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. Bennett, C.H. and Di Vincenzo, D.P., Nature, 2000, vol. 404, p. 247.

    Article  ADS  Google Scholar 

  4. Sachdev, S., Quantum Phase Transitions, Cambridge: Cambridge University Press, 2000.

    MATH  Google Scholar 

  5. Osterloh, A., Amico, L., Falci, G., and Fazio, R., Nature (London), 2000, vol. 416, p. 608.

    Article  ADS  Google Scholar 

  6. Osborne, T.J. and Nielsen, M.A., Phys. Rev. A, 2002, vol. 66, p. 032110.

    Article  ADS  MathSciNet  Google Scholar 

  7. Vidal, J., Phys. Rev. A, 2006, vol. 73, p. 062318.

    Article  ADS  Google Scholar 

  8. Yi, S. and Pu, H., Phys. Rev. A, 2006, vol. 73, p. 023602.

    Article  ADS  Google Scholar 

  9. Bose, A. and Tribedi, A., Phys. Rev. A, 2005, vol. 72, p. 022314.

    Article  ADS  Google Scholar 

  10. Song, J.L., Gu, S.J., and Lin, H.Q., Phys. Rev. B, 2006, vol. 74, p. 155119.

    Article  ADS  Google Scholar 

  11. Abgaryan, V.S., Ananikian, N.S., Ananikyan, L.N., and Kocharian, A.N., Physica Scripta, 2011, vol. 83 (in press).

  12. Hill, S. and Wootters, W.K., Phys. Rev. Lett., 1997, vol. 78, p. 5022; Wootters, W.K., Phys. Rev. Lett., 1998, vol. 580, p. 2245.

    Article  ADS  Google Scholar 

  13. Bogoliubov, N.N., J. Phys. (USSR), 1947, vol. 11, p. 23.

    Google Scholar 

  14. Mahan, G.D., Many-Particle Physics, New York: Kluwer/Plenum, 2000; Wen, X.-G., Quantum Field Theory of Many-Body Systems, Oxford: OUP, 2004.

    Google Scholar 

  15. Gong, S.S. and Su, G., Phys. Rev. A, 2009, vol. 80, p. 012323; Asoudeh, M. and Karimipour, V., Phys. Rev. A, 2006, vol. 73, p. 062109.

    Article  ADS  Google Scholar 

  16. Ananikian, N.S., Ananikyan, L.N., Chakhmakhchyan, L.A., and Kocharian, A.N., J. Phys. A: Math. Theor., 2011, vol. 44, p. 025001.

    Article  ADS  MathSciNet  Google Scholar 

  17. Ananikian, N.S., Ananikyan, L.N., and Lazaryan, H.A., Phys. Atomic Nuclei, 2011, vol. 74 (in press).

  18. Roger, M., Hetherington, J.H., and Delrieu, J.M., Rev. Mod. Phys., 1983, vol. 55, p. 1.

    Article  ADS  Google Scholar 

  19. Arakelyan, T.A., Ohanyan, V.R., Ananikyan, L.N., Ananikian, N.S., and Roger, M., Phys. Rev. B, 2003, vol. 67, p. 024424; Ananikyan, L.N., Int. J. Mod. Phys. B, 2007, vol. 21, p. 755.

    Article  ADS  Google Scholar 

  20. Rice, T.M., Gopalan, S., and Sigrist, M., Europhys. Lett., 1994, vol. 23, p. 445.

    Article  ADS  Google Scholar 

  21. Martson, J.B., Fjaerested, J.O., and Sudb, A., Phys. Rev. Lett., 2002, vol. 89, p. 056404.

    Article  ADS  Google Scholar 

  22. Schollwk, U., Chakravarty, S., Fraerested, J.O., et al., Phys. Rev. Lett., 2003, vol. 90, p. 186401.

    Article  ADS  Google Scholar 

  23. Shiramura, W. et al., J. Phys. Soc. Jpn., 1998, vol. 67, p. 1548.

    Article  ADS  Google Scholar 

  24. Hovhannisyan, V.V. and Ananikian, N.S., Phys. Lett. A, 2008, vol. 372, p. 3363.

    Article  ADS  MATH  Google Scholar 

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Original Russian Text © L.N. Ananikyan, H.A. Lazaryan, 2011, published in Izvestiya NAN Armenii, Fizika, 2011, Vol. 46, No. 4, pp. 289–297.

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Ananikyan, L.N., Lazaryan, H.A. Magnetic properties and quantum entanglement on decorated zigzag ladder. J. Contemp. Phys. 46, 184–190 (2011). https://doi.org/10.3103/S1068337211040104

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  • DOI: https://doi.org/10.3103/S1068337211040104

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