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

• Authors: E. Kądzielawa-Major , J. Spałek
• Languages of publication: 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

EN

71.10.Fd; 71.20.Eh; 71.27.+a; 71.70.Gm

Discipline

• 71.20.Eh: Rare earth metals and alloys
• 71.27.+a: Strongly correlated electron systems; heavy fermions
• 71.10.Fd: Lattice fermion models (Hubbard model, etc.)
• 71.70.Gm: Exchange interactions

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2014
• Volume: 126
• Issue: 4a
• Pages: A-100-A-104

Dates

published

2014-10

Contributors

author

E. Kądzielawa-Major

• Marian Smoluchowski Institute of Physics, Jagiellonian University, W.S. Reymonta 4, 30-059 Kraków, Poland

author

J. Spałek

• 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

Identifiers

DOI

10.12693/APhysPolA.126.A-100