https://doi.org/10.1140/epjb/e2008-00264-0
Violation of the Luttinger sum rule within the Hubbard model on a triangular lattice
1
J. Stefan Institute, Jamova 39, 1000 Ljubljana, Slovenia
2
Faculty of Mathematics and Physics, University of Ljubljana, 1000 Ljubljana, Slovenia
Corresponding author: a jure.kokalj@ijs.si
Received:
12
February
2008
Revised:
8
May
2008
Published online:
10
July
2008
The frequency-moment expansion method is developed to analyze the validity of the Luttinger sum rule within the Mott-Hubbard insulator, as represented by the generalized Hubbard model at half filling and large U. For the particular case of the Hubbard model with nearest-neighbor hopping on a triangular lattice lacking the particle-hole symmetry results reveal substantial violation of the sum rule.
PACS: 71.10.-w – Theories and models of many-electron systems / 71.27.+a – Strongly correlated electron systems; heavy fermions / 71.18.+y – Fermi surface: calculations and measurements; effective mass, g factor
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008
