https://doi.org/10.1140/epjb/e2002-00382-7
Exact ground-state for the periodic Anderson model in D=2 dimensions at finite value of the interaction and absence of the direct hopping in the correlated f-band
Department of Theoretical Physics, University of Debrecen, Poroszlay ut 6/C,
4010 Debrecen, Hungary
Corresponding author: a gulacsi@heavy-ion.atomki.hu
Received:
1
July
2002
Revised:
16
September
2002
Published online:
19
December
2002
We report for the first time exact ground-states deduced for the D=2
dimensional generic periodic Anderson model at finite U,
the Hamiltonian of the model not containing direct hopping terms
for f-electrons 
. The deduced itinerant phase presents non-Fermi
liquid properties in the normal phase, emerges for real hybridization matrix
elements, and not requires anisotropic unit cell. In order to deduce these
results, the plaquette operator procedure has been generalised to a block
operator technique which uses blocks higher than an unit cell and contains
f-operator contributions acting only on a single central site of the block.
PACS: 71.10.Hf – Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems / 05.30.Fk – Fermion systems and electron gas / 67.40.Db – Quantum statistical theory; ground state, elementary excitations / 71.10.Pm – Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.)
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
