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Thermodynamics and Single Particle Spectra of the Kondo Insulator by the Variational Self-Energy Method

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The variational self-energy method is applied to a study of the half-filled periodic Anderson model. Trial-self-energies and the numerical value of the Luttinger–Ward functional are obtained by diagonalization of a single c – f dimer. The dependence of the zero-temperature single-particle gap on the c – f-hybridization is found in qualitative agreement with mean-field theory for the Kondo-lattice, the specific heat agrees well with numerical results from density-matrix-renormalization group calculations. The single particle spectral function at finite-temperature shows marked deviations from a hybridization picture which agree well with quantum Monte–Carlo results.

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References

  1. Stewart G.R. (1984). Rev. Mod. Phys. 56: 755

    Article  ADS  Google Scholar 

  2. Steglich F., Aarts J., Bredl C.E., Licke W., Meschede D., Frang W., Schäfer W. (1979). Phys. Rev. Lett. 43: 1892

    Article  ADS  Google Scholar 

  3. von Löhneysen H. (1996). J. Phys. Cond. Matt. 8: 8689

    Google Scholar 

  4. H. von Löhneysen, A. Rosch, M. Vojta, and P. Wölfle, preprint cond-mat/0606317.

  5. Aeppli G., Fisk Z. (1992). Comments Condens. Matter Phys. 16: 155

    Google Scholar 

  6. Kondo J. (1964). Progr. Theor. Phys. 32: 37

    Article  ADS  Google Scholar 

  7. Schrieffer J.R., Wolff P.A. (1966). Phys. Rev. 149: 491

    Article  ADS  Google Scholar 

  8. Doniach S. (1977). Physica B 91: 213

    Article  Google Scholar 

  9. Anderson P.W. (1961). Phys. Rev. 124: 41

    Article  ADS  MathSciNet  Google Scholar 

  10. Fulde P., Keller J., Zwicknagl G. (1988). Solid State Phys. 41: 1

    Google Scholar 

  11. Bickers N.E. (1987). Rev. Mod. Phys. 59: 845

    Article  ADS  Google Scholar 

  12. O. Gunnarson and K. Schönhammer, Phys. Rev. Lett. 50, 604 (1983); O. Gunnarson and K. Schönhammer, Phys. Rev. B 28, 4315 (1983).

    Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  15. Kotliar G., Savrasov S.Y., Haule K., Oudovenko V.S., Parcollet O., Marianetti C.A. (2006). Rev. Mod. Phys. 78: 865

    Article  ADS  Google Scholar 

  16. Potthoff M. (2003). Eur. Phys. J. B 32: 429

    Article  ADS  Google Scholar 

  17. Potthoff M. (2003). Eur. Phys. J. B 36: 335

    Article  ADS  Google Scholar 

  18. Lacroix C., Cyrot M. (1979). Phys. Rev. B 20: 1969

    Article  ADS  Google Scholar 

  19. Luttinger J.M., Ward J.C. (1960). Phys. Rev. 118: 1417

    Article  MATH  ADS  MathSciNet  Google Scholar 

  20. Baym G., Kadanoff L.P. (1961). Phys. Rev. 124: 287

    Article  MATH  ADS  MathSciNet  Google Scholar 

  21. Baym G. (1962). Phys. Rev. 127: 1391

    Article  MATH  ADS  MathSciNet  Google Scholar 

  22. Luttinger J.M. (1960). Phys. Rev. 119: 1153

    Article  MATH  ADS  MathSciNet  Google Scholar 

  23. Luttinger J.M. (1961). Phys. Rev. 121: 942

    Article  MATH  ADS  MathSciNet  Google Scholar 

  24. M. Potthoff, cond-mat/0511729.

  25. Shibata N., Ammon B., Troyer M., Sigrist M., Ueda K. (1998). J. Phys. Soc. Jpn., 67: 1086

    Article  Google Scholar 

  26. Gröber C., Eder R. (1998). Phys. Rev. B 57: R12 659

    Article  Google Scholar 

  27. Mutou T., Shibata N., Ueda K. (1998). Phys. Rev. Lett. 81: 4939

    Article  ADS  Google Scholar 

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Eder, R. Thermodynamics and Single Particle Spectra of the Kondo Insulator by the Variational Self-Energy Method. J Low Temp Phys 147, 295–308 (2007). https://doi.org/10.1007/s10909-007-9310-4

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