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Quantum corrections of the Dzyaloshinskii-Moriya interaction on the spin-\(\frac{1}{2}\) AF-Heisenberg chain in an uniform magnetic field

  • Statistical and Nonlinear Physics
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Abstract.

We have investigated the ground state phase diagram of the 1D AF spin-\(\frac{1}{2}\) Heisenberg model with the staggered Dzyaloshinskii-Moriya (DM) interaction in an external uniform magnetic field H. We have used the exact diagonalization technique. In the absence of the uniform magnetic field (H=0), we have shown that the DM interaction induces a staggered chiral phase. The staggered chiral phase remains stable even in the presence of the uniform magnetic field. We have identified that the ground state phase diagram consists of four Luttinger liquid, staggered chiral, spin-flop, and ferromagnetic phases.

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References

  • C.N. Yang, C.P. Yang, Phys. Rev. 150, 321 (1966); C.N. Yang, C.P. Yang 150, 327 (1966)

    Article  ADS  Google Scholar 

  • V.L. Pokrovsky, A.L. Talapov, Soc. Phys. JETP 51, 134 (1980)

    Google Scholar 

  • R.B. Griffiths, Phys. Rev. A 133, 768 (1964)

    ADS  Google Scholar 

  • D.C. Dender, P.R. Hammar, D.H. Reich, C. Broholm, G. Aeppli, Phys. Rev. Lett. 79, 1750 (1997)

    Article  ADS  Google Scholar 

  • J. Sirker, A. Weibe, O.P. Sushkov, Europhys. Lett. 68, 275 (2004); J. Sirker, A. Weibe, O.P. Sushkov, J. Phys. Soc. Jpn, Suppl. 74, 129 (2005)

    Article  ADS  Google Scholar 

  • T. Sakai, H. Shiba, J. Phys. Soc. Jpn 63, 867 (1994)

    Article  ADS  Google Scholar 

  • G. Chaboussant, M.-H. Julien, Y. Fagot-Revurat, M. Hanson, L.P. Levy, C. Berthier, M. Horvatic, O. Piovesana, Eur. Phys. J. B 6, 167 (1998)

    Article  ADS  Google Scholar 

  • H. Kageyama, K. Yoshimura, R. Stern, N. Mushnikov, K. Onizuda, M. Kato, K. Kosuge, C.-P. Slichter, T. Goto, Y. Veda, Phys. Rev. Lett. 82, 3168 (1999)

    Article  ADS  Google Scholar 

  • O. Cepas, K. Kakurai, L.P. Regnault, T. Ziman, J.P. Boucher, N. Aso, M. Nishi, H. Kageyama, Y. Veda, Phys. Rev. Lett. 87, 167205 (2001)

    Article  ADS  Google Scholar 

  • M. Jaime, V.F. Correa, N. Harrison, C.D. Batista, N. Kawashima, Y. Kazuma, G.A. Jorge, R. Stern, I. Heinmaa, S.A. Zveyagin, Y. Sasago, K. Uchinokura, Phys. Rev. Lett. 93, 087203 (2004)

    Article  ADS  Google Scholar 

  • I.E. Dzyaloshinskii, J. Phys. Chem. Solids 4, 241 (1958)

    Article  Google Scholar 

  • T. Moriya, Phys. Rev. Lett. 4, 288 (1960)

    Article  ADS  Google Scholar 

  • M. Oshikawa, I. Affleck, Phys. Rev. Lett. 79, 2883 (1997); M. Oshikawa, I. Affleck, Phys. Rev. B 60, 1038 (1999)

    Article  ADS  Google Scholar 

  • M. Sato, M. Oshikawa, Phys. Rev. B 69, 054406 (2004)

    Article  ADS  Google Scholar 

  • J.-B. Fouet, O. Tchernyshyov, F. Mila, Phys. Rev. B 70, 174427 (2004)

    Article  ADS  Google Scholar 

  • S. Mahdavifar, Eur. Phys. J. B 55, 371 (2007)

    Article  ADS  Google Scholar 

  • K. Kodama, S. Miyahara, M. Takigawa, M. Horvatic, C. Berthier, F. Mila, H. Kageyama, Y. Ueda, J. Phys.: Condens. Matter 17, L61 (2005)

  • Y.-J. Wang, F.H.L. Essler, M. Fabrizio, A.A. Nersesyan, Phys. Rev. B 66, 024412 (2002)

    Article  ADS  Google Scholar 

  • F.C. Alcaraz, A.L. Malvazzi, J. Phys. A 28, 1521 (1995)

    Article  ADS  MathSciNet  Google Scholar 

  • J. Lou, C. Chen, J. Zhao, X. Wang, T. Xiang, Z. Su, L. Yu, Phys. Rev. Lett. 94, 217207 (2005)

    Article  ADS  Google Scholar 

  • A.L. Chernyshev, Phys. Rev. B 72, 174414 (2005)

    Article  ADS  Google Scholar 

  • S. Miyahara, J.-B. Fouet, S.R. Manmana, R.M. Noack, H. Mayaffre, I. Sheikin, C. Berthier, F. Mila, cond-mat/0610861 (2006)

  • A.A. Nersesyan, A.O. Gogolin, F.H.L. Ebler, Phys. Rev. Lett. 81, 910 (1998)

    Article  ADS  Google Scholar 

  • M. Kaburagi, H. Kawamura, T. Hikihara, J. Phys. Soc. Jpn 68, 3185 (1999)

    Article  ADS  Google Scholar 

  • T. Hikihara, M. Kaburagi, H. Kawamura, T. Tonegawa, J. Phys. Soc. Jpn 69, 259 (2000)

    Article  ADS  Google Scholar 

  • G. Grosso, L. Martinelli, Phys. Rev. B 51, 13033 (1995)

    Article  ADS  Google Scholar 

  • A. Langari, S. Mahdavifar, Phys. Rev. B 73, 54410 (2006)

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics, Guilan University, PO Box 41335-1914, Rasht, Iran

    S. Mahdavifar

  2. Institute for Advanced Studies in Basic Sciences, PO Box 45195-1159, Zanjan, Iran

    S. Mahdavifar

  3. Physics Research Center, Science Research Branch, Islamic Azad University, PO Box 19585-466, Tehran, Iran

    M. R. Soltani

  4. Department of Physics, Islamic Azad university, Branch of North Tehran, PO Box 19585-936, Tehran, Iran

    A. A. Masoudi

  5. Department of Physics, Alzahra University, PO Box 19834, Tehran, Iran

    A. A. Masoudi

Authors
  1. S. Mahdavifar
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  2. M. R. Soltani
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  3. A. A. Masoudi
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Correspondence to S. Mahdavifar.

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Mahdavifar, S., Soltani, M. & Masoudi, A. Quantum corrections of the Dzyaloshinskii-Moriya interaction on the spin-\(\frac{1}{2}\) AF-Heisenberg chain in an uniform magnetic field. Eur. Phys. J. B 62, 215–220 (2008). https://doi.org/10.1140/epjb/e2008-00141-x

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  • DOI: https://doi.org/10.1140/epjb/e2008-00141-x

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