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A real-space Green’s function approach for disordered Hubbard model

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Abstract

Based on the equation-of-motion approach, a real-space Green’s function method is proposed, which allows us to fully consider the disorder effect in Hubbard model. Meanwhile, we improved the decoupling scheme to obtain the quasi particle resonance peak on the Fermi energy, consistent with the DMFT method with Quantum Monte Carlo solver. After introducing the Anderson disorder into the system, the three peak structure in spectrum density still exists at intermediate regime of Coulomb interaction. However, the electronic state tends to be restricted in some small puddles in presence of on-site disorder, suggesting the Anderson localization has been introduced in the Kondo peak.

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References

  1. M. Imada, A. Fujimori, Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998)

    Article  ADS  Google Scholar 

  2. J. Hubbard, Proc. R. Soc. A 276, 238 (1963)

    ADS  Google Scholar 

  3. J. Hubbard, Proc. R. Soc. A 281, 401 (1964)

    ADS  Google Scholar 

  4. E.H. Lieb, F.Y. Wu, Phys. Rev. Lett. 20, 1445 (1968)

    Article  ADS  Google Scholar 

  5. W. Metzner, D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989)

    Article  ADS  Google Scholar 

  6. H. Mori, Prog. Theor. Phys. 33, 423 (1965)

    Article  ADS  Google Scholar 

  7. S.E. Barnes, J. Phys. F: Met. Phys. 6, 1375 (1976)

    Article  ADS  Google Scholar 

  8. A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)

    Article  ADS  Google Scholar 

  9. D.N. Zubarev, Usp. Fiz. Nauk. 71, 71 (1960)

    Article  Google Scholar 

  10. B. Velický, S. Kirkpatrick, H. Ehrenreich, Phys.Rev. 175, 747 (1968)

    Article  ADS  Google Scholar 

  11. J.-X. Zhu, R.C. Albers, J.M. Wills, Mod. Phys. Lett. B 20, 1629 (2006)

    Article  ADS  Google Scholar 

  12. C. Gros, Phys. Rev. B 50, 7295 (1994)

    Article  ADS  Google Scholar 

  13. P.A. Lee, T.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985)

    Article  ADS  Google Scholar 

  14. D. Belitz, T.R. Kirkpatrick, Rev. Mod. Phys. 66, 261 (1994)

    Article  ADS  Google Scholar 

  15. A.L. Efros, B.I. Shklovskii, J. Phys., C: Solid State Phys. 8, L49 (1975)

    Article  ADS  Google Scholar 

  16. C. Lacroix, J. Appl. Phys. 53, 2131 (1982)

    Article  ADS  Google Scholar 

  17. G. Górski, J. Mizia, Physica B 427, 42 (2013)

    Article  ADS  Google Scholar 

  18. Y. Liu, D.-Y. Liu, J.-L. Wang, J. Sun, Y. Song, L.-J. Zou, Phys. Rev. B 92, 155146 (2015)

    Article  ADS  Google Scholar 

  19. Y. Liu, Y.-Y. Zhao, Y. Song, New J. Phys. 18, 073006 (2016)

    Article  ADS  Google Scholar 

  20. Y. Liu, Y.-K Niu, Y. Song, Eur. Phys. J. B 92, 2 (2019)

    Article  ADS  Google Scholar 

Download references

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Correspondence to Yang Liu.

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Liu, Y., Ma, Y. A real-space Green’s function approach for disordered Hubbard model. Eur. Phys. J. B 93, 120 (2020). https://doi.org/10.1140/epjb/e2020-10201-8

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  • DOI: https://doi.org/10.1140/epjb/e2020-10201-8

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