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Quantum Monte Carlo study on an ionic Hubbard model in one dimension

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Abstract

We study an ionic Hubbard model in one dimension by using a quantum Monte Carlo method. The ionic Hubbard model we study is a strongly correlated model for electrons in alternating potentials with a lattice period of 2. By modifying the Hirsch-Fye algorithm, we incorporate the local variation of the potential in the weight of the partition function at each imaginary-time segment. For a given alternating potential of strength Δ = 1.0, as we change the local Coulomb repulsion, U, between spin-up and spin-down electrons, we calculate various physical quantities, including kinetic energies, correlation energies, and band energies. We try to find the signature of the phase transitions from the behavior of the kinetic energy and that of double occupancies at finite temperatures.

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References

  1. T. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, New York, 2004).

    MATH  Google Scholar 

  2. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).

    Google Scholar 

  3. E. Dagotto, Rev. Mod. Phys. 66, 763 (1994).

    Article  ADS  Google Scholar 

  4. J. Hubbard and J. B. Torrance, Phys. Rev. Lett. 47, 1750 (1981).

    Article  ADS  Google Scholar 

  5. Y. Liao, A. S. C. Rittner, T. Paprotta, W. Li, G. B. Partridge, R. G. Hulet, S. K. Baur and E. J. Mueller, Nature 457, 567 (2010).

    Article  ADS  Google Scholar 

  6. H. A. Bethe, Z. Phys. 71, 205 (1931).

    Article  ADS  MATH  Google Scholar 

  7. M. T. Batchelor, Phys. Today 60, 36 (2007).

    Article  ADS  Google Scholar 

  8. S. R. White, Phys. Rev. Lett. 69, 2863 (1992).

    Article  ADS  Google Scholar 

  9. L. Tincani, R. M. Noack and D. Baeriswyl, Phys. Rev. B 79, 165109 (2009).

    Article  ADS  Google Scholar 

  10. T. Wilkens and R. M. Martin, Phys. Rev. B 63, 235108 (2001).

    Article  ADS  Google Scholar 

  11. S. H. Cho and J.-W. Lee, J. Korean Phys. Soc. 59, 2765 (2011).

    Article  Google Scholar 

  12. J. E. Hirsch and R. M. Fye, Phys. Rev. Lett. 56, 2521 (1986).

    Article  ADS  Google Scholar 

  13. http://openmp.org.

  14. http://software.intel.com/en-us/articles/non-commercial-software-download.

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Authors and Affiliations

  1. Department of Physics, Myongji University, Yongin, 449-728, Korea

    Sung Moon Kim & Ji-Woo Lee

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  1. Sung Moon Kim
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  2. Ji-Woo Lee
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Correspondence to Ji-Woo Lee.

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Kim, S.M., Lee, JW. Quantum Monte Carlo study on an ionic Hubbard model in one dimension. Journal of the Korean Physical Society 60, 628–632 (2012). https://doi.org/10.3938/jkps.60.628

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  • DOI: https://doi.org/10.3938/jkps.60.628

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