Mixed Wave Function for Heavy Fermion Compounds

  • Bang, Yun-Kyu (Department of Physics, Chonnam National University)
  • Received : 2010.03.09
  • Accepted : 2010.03.29
  • Published : 2010.04.30

Abstract

We propose a variational wave function for the ground state of the magnetic heavy fermion (HF) systems, in which both the Kondo and the RKKY interactions are variationally incorporated and the local f-orbital state exists as a linear combination of a full local moment state and a fully compensated state (mixed wave state). We describe the mechanism for the mixed wave ground state based on the large-N treatment of the Kondo lattice Hamiltonian added with RKKY interaction. With the mixed wave ground state we can explain several puzzling experiments in magnetic HF compounds such as a small value of local moment, coexistence of the antiferromagnetic (AFM) and the paramagnetic (PM) phases, local quantum criticality, etc.

Keywords

References

  1. N. Read, D. M. Newns, and S. Doniach, Phys. Rev. B 30, 3841 (1984). https://doi.org/10.1103/PhysRevB.30.3841
  2. G. R. Stewart, Rev. Mod. Phys. 73, 797 (2001) https://doi.org/10.1103/RevModPhys.73.797
  3. G. R. Stewart, Rev. Mod. Phys. 56, 755 (1984). https://doi.org/10.1103/RevModPhys.56.755
  4. S. Doniach, Physica 91B, 231 (1977).
  5. C. M. Varma and Y. Yafet, Phys. Rev. B 13, 2950 (1976). https://doi.org/10.1103/PhysRevB.13.2950
  6. A. Auerbach and K. Levin, Phys. Rev. Lett. 57, 877 (1986) https://doi.org/10.1103/PhysRevLett.57.877
  7. T. M. Rice and K. Ueda, Phys. Rev. Lett. 55, 995 (1985). https://doi.org/10.1103/PhysRevLett.55.995
  8. B. A. Jones and C. M. Varma, Phys. Rev. B 40, 324 (1989) https://doi.org/10.1103/PhysRevB.40.324
  9. B.A. Jones, C. M. Varma, and J.W. Wilkins, Phys. Rev. Lett. 61, 125 (1988) https://doi.org/10.1103/PhysRevLett.61.125
  10. B. A. Jones, B. G. Kotliar, and A. J. Millis, Phys. Rev. B 39, 3415 (1989). https://doi.org/10.1103/PhysRevB.39.3415
  11. K. Matsuda, Y. Kohori, T. Kohara, K. Kuwahara, and H. Amitsuka , Phys. Rev. Lett. 87, 87203 (2001). https://doi.org/10.1103/PhysRevLett.87.087203
  12. C. Broholm, J. K. Kjems, W. J. L. Buyers, P. Matthews, T. T. M. Palstra, A. A. Menovsky, and J. A. Mydosh, Phys. Rev. Lett. 58, 1467 (1987). https://doi.org/10.1103/PhysRevLett.58.1467
  13. O. O. Bernal, C. Rodrigues, A. Martinez, H. G. Lukefahr, D. E. MacLaughlin, A. A. Menovsky, J. A. Mydosh, Phys. Rev. Lett. 87, 196402 (2001). https://doi.org/10.1103/PhysRevLett.87.196402
  14. G.R. Stewart, Rev. Mod. Phys. 73, 797 (2001). https://doi.org/10.1103/RevModPhys.73.797
  15. Q. Si, S. Rabello, K. Ingersent, an d J. L. Smith, Nature 413, 804 (2001). https://doi.org/10.1038/35101507
  16. C. M. Varma, Phys. Rev. Lett. 83, 3538 (1999). https://doi.org/10.1103/PhysRevLett.83.3538