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Number of results
2014 | 126 | 4a | A-100-A-104
Article title

Anderson-Kondo Lattice Hamiltonian from the Anderson-Lattice Model: A Modified Schrieffer-Wolff Transformation and the Effective Exchange Interactions

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EN
Abstracts
EN
We derive the Anderson-Kondo lattice model by applying canonical perturbation expansion for the Anderson-lattice model in direct space. The transformation is carried out up to the fourth order by a modified Schrieffer-Wolff transformation: we separate the part of hybridization term responsible for the high-energy processes (involving the largest in-the-system intraatomic Coulomb interaction between f electrons) and replace it with the virtual processes in higher orders. The higher-order processes lead to three separate exchange interactions. The obtained Hamiltonian contains both the Kondo (f-c) and the superexchange (f-f) interactions, as well as a residual hybridization responsible for the heavy-quasiparticle formation. This effective Hamiltonian can be used to analyze the magnetic or the paired states, as well their coexistence in heavy-fermion systems. The magnitudes of both the Kondo exchange and the superexchange integrals are estimated as a function of bare hybridization magnitude.
Keywords
Contributors
  • Marian Smoluchowski Institute of Physics, Jagiellonian University, W.S. Reymonta 4, 30-059 Kraków, Poland
author
  • Marian Smoluchowski Institute of Physics, Jagiellonian University, W.S. Reymonta 4, 30-059 Kraków, Poland
References
  • [1] J. Spałek, P. Gopalan, J. Phys. (France) 50, 2869 (1989), doi: 10.1051/jphys:0198900500180286900
  • [2] O. Howczak, J. Spałek, J. Phys. Condens. Matter 24, 205602 (2012) http://stacks.iop.org/0953-8984/24/i=20/a=205602
  • [3] O. Howczak, J. Kaczmarczyk, J. Spałek, Phys. Status Solidi B 250, 609 (2013), doi: 10.1002/pssb.201200774
  • [4] J.R. Schrieffer, P.A. Wolff, Phys. Rev. 149, 491 (1966), doi: 10.1103/PhysRev.149.491
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv126n4a22kz
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