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On the ground state energy scaling in quasi-rung-dimerized spin ladders

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Abstract

On the basis of periodic boundary conditions we study perturbatively a large N asymptotics (N is the number of rungs) for the ground state energy density and gas parameter of a spin ladder with slightly destroyed rung-dimerization. Exactly, rung-dimerized spin ladder is treated as the reference model. Explicit perturbative formulas are obtained for three special classes of spin ladders.

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References

  1. P. Lecheminant, K. Totsuka, Phys. Rev. B 74, 224426 (2006)

    Article  ADS  Google Scholar 

  2. M.T. Batchelor, X.-W. Guan, N. Oelkers, Z. Tsuboi, Adv. Phys. 56, 465 (2007)

    Article  ADS  Google Scholar 

  3. G. Barcza, Ö. Legeza, R.M. Noack, J. Sólyom, Phys. Rev. B 86, 075133 (2012)

    Article  ADS  Google Scholar 

  4. A.K. Kolezhuk, H.-J. Mikeska, Int. J. Mod. Phys. B 12, 2325 (1998)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. E. Dagotto, Rep. Prog. Phys. 62, 1525 (1999)

    Article  ADS  Google Scholar 

  6. P.N. Bibikov, J. Phys. A 42, 315212 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  7. P.N. Bibikov, P.P. Kulish, J. Math. Sci. 168, 781 (2010)

    Article  MathSciNet  Google Scholar 

  8. H. Betsuaki, Phys. Rev. B 34, 8125 (1986)

    Article  ADS  Google Scholar 

  9. J.C. Bonner, M.E. Fisher, Phys. Rev. 135, A640 (1964)

    Article  ADS  Google Scholar 

  10. K. Hijii, K. Nomura, Phys. Rev. 65, 104413 (2002)

    Article  Google Scholar 

  11. K. Buchta, Ö. Legeza, G. Fáth, J. Sólyom, Phys. Rev. B 72, 054433 (2005)

  12. P.N. Bibikov, Int. J. Mod. Phys. B 25, 1293 (2011)

    Article  ADS  Google Scholar 

  13. T. Barnes, E. Dagotto, J. Riera, E.S. Swanson, Phys. Rev. B 47, 3196 (1993)

    Article  ADS  Google Scholar 

  14. D.B. Yang, W.C. Haxton, Phys. Rev. B 57, 10603 (1998)

    Article  ADS  Google Scholar 

  15. M. Reigrotzki, H. Tsunetsugu, T.M. Rice, J. Phys.: Condens. Matter 6, 9235 (1994)

    Article  ADS  Google Scholar 

  16. Z. Weihong, V. Kotov, J. Oitmaa, Phys. Rev. B 57, 11439 (1998)

    Article  ADS  Google Scholar 

  17. M. Müller, T. Vekua, H.-J. Mikeska, Phys. Rev. B 66, 134423 (2002)

    Article  ADS  Google Scholar 

  18. T. Barnes, Phys. Rev. B 67, 024412 (2003)

    Article  ADS  Google Scholar 

  19. K.P. Schmidt, G.S. Uhrig, Mod. Phys. Lett. B 19, 1179 (2005)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Saint-Petersburg State University, Ulyanovskaya 1, Petrodvorets, 198504, Saint-Petersburg, Russia

    Petr N. Bibikov

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  1. Petr N. Bibikov
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Correspondence to Petr N. Bibikov.

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Bibikov, P. On the ground state energy scaling in quasi-rung-dimerized spin ladders. Eur. Phys. J. B 86, 174 (2013). https://doi.org/10.1140/epjb/e2013-30839-3

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  • DOI: https://doi.org/10.1140/epjb/e2013-30839-3

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