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Manifestations of spin and charge fluctuations in spectra of the Hubbard model

A. Sherman

A. Sherman

Institute of Physics, University of Tartu, W. Ostwaldi Str. 1, 50411 Tartu, Estonia

E-mail Address: alekseis@ut.ee

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https://doi.org/10.1142/S0217979218400325Cited by:1 (Source: Crossref)

This article is part of the issue:

SPECIAL ISSUE — Electron Correlation in Superconductivity and Nanostructures; Guest Editor: Sergei Kruchinin

Abstract

The influence of long-range spin and charge fluctuations on spectra of the two-dimensional (2D) fermionic Hubbard model is considered using the strong coupling diagram technique (SCDT). Infinite sequences of diagrams containing ladder inserts, which describe the interaction of electrons with these fluctuations, are summed, and obtained equations are self-consistently solved for the range of Hubbard repulsions 4t $\leq$ $\leq$ U $\leq$ $\leq$ 8t and temperatures 0.3t $≲$ T $≲$ t with t the intersite hopping constant. It was found that a metal–insulator transition curve goes from larger U and T to smaller values of these parameters. The temperature decrease causes the transition to the long-range antiferromagnetic order. It is responsible for the splitting out of a narrow band from a Hubbard subband with doping for U = 8t and low T. This segregated band is located near the Fermi level and forms a pseudogap here.

Keywords:

PACS: 71.10.Fd, 71.27.+a

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References

1. N. Bulut, D. J. Scalapino and S. R. White, Phys. Rev. B 47, 14599 (1993). Crossref, Web of Science, ADS, Google Scholar
2. B. Kyung et al., Phys. Rev. B 73, 165114 (2006); D. Sénéchal and A.-M. S. Tremblay, Phys. Rev. Lett. 92, 126401 (2004); T. Maier et al., Rev. Mod. Phys. 77, 1027 (2005); M. Potthoff, M. Aichhorn and C. Dahnken, Phys. Rev. Lett. 91, 206402 (2003). Google Scholar
3. A. Sherman, Eur. Phys. J. B 90, 120 (2017). Crossref, Web of Science, ADS, Google Scholar
4. A. Toschi, A. A. Katanin and K. Held, Phys. Rev. B 75, 045118 (2007); T. Schäfer et al., Phys. Rev. B 91, 125109 (2015). Google Scholar
5. A. N. Rubtsov, M. I. Katsnelson and A. I. Lichtenstein, Phys. Rev. B 77, 033101 (2008); H. Hafermann et al., Phys. Rev. Lett. 102, 206401 (2009). Google Scholar
6. A. Georges et al., Rev. Mod. Phys. 68, 13 (1996). Crossref, Web of Science, ADS, Google Scholar
7. M. I. Vladimir and V. A. Moskalenko, Theor. Math. Phys. 82, 301 (1990); W. Metzner, Phys. Rev. B 43, 8549 (1991); L. Craco and M. A. Gusmão, Phys. Rev. B 52, 17135 (1995); S. Pairault, D. Sénéchal and A.-M. S. Tremblay, Eur. Phys. J. B 16, 85 (2000); A. Sherman, Phys. Rev. B 73, 155105 (2006); 74, 035104 (2006); Physica B 456, 35 (2015). Google Scholar
8. A. Sherman, Int. J. Mod. Phys. B 29, 1550088 (2015); Phys. Status Solidi B 252, 2006 (2015). Google Scholar
9. R. Preuss, W. Hanke and W. von der Linden, Phys. Rev. Lett. 75, 1344 (1995); C. Gröber, R. Eder and W. Hanke, Phys. Rev. B 62, 4336 (2000). Google Scholar
10. A. Sherman and M. Schreiber, Phys. Rev. B 76, 245112 (2007); 77, 155117 (2008); A. Sherman, J. Magn. Magn. Mater. 440, 97 (2017). Google Scholar
11. N. D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1133 (1966). Crossref, Web of Science, ADS, Google Scholar
12. J. Hubbard, Proc. R. Soc. Lond. A 276, 238 (1963); 277, 237 (1964). Google Scholar
13. M. Jarrell and J. E. Gubernatis, Phys. Rep. 269, 133 (1996). Crossref, Web of Science, ADS, Google Scholar
14. A. Sherman and M. Schreiber, Phys. Rev. B 55, R712 (1997). Crossref, Web of Science, ADS, Google Scholar
15. S. Kruchinin, H. Nagao and S. Aono, Modern Aspect of Superconductivity: Theory of Superconductivity (World Scientific, Singapore, 2010), p. 232. Link, Google Scholar
16. S. P. Kruchinin, Mod. Phys. Lett. B 9, 205 (1995). Web of Science, ADS, Google Scholar
17. S. Kruchinin and H. Nagao, Int. J. Mod. Phys. B 26, 1230013 (2012). Link, Web of Science, ADS, Google Scholar
18. S. Kruchinin, Int. J. Mod. Phys. B 30, 1042008 (2016). ADS, Google Scholar
19. R. J. Birgeneau and G. Shirane, Physical Properties of High Temperature Superconductors, ed. D. M. Ginsberg (World Scientific, Singapore, 1989). Google Scholar

Vol. 32, No. 17

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Accepted 7 February 2018

Published: 23 March 2018

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Manifestations of spin and charge fluctuations in spectra of the Hubbard model

Abstract

References

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System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Manifestations of spin and charge fluctuations in spectra of the Hubbard model

Abstract

Recommended

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