Breakdown of the Luttinger sum rule within the Mott-Hubbard insulator

Details Breakdown of the Luttinger sum rule within the Mott-Hubbard insulator Breakdown of the Luttinger sum rule within the Mott-Hubbard insulator

2008-03-31

arxiv.org/abs/0803.4468v2

Phys. Rev. B 78, 153103 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 5 figures

Scientific paper

10.1103/PhysRevB.78.153103

The validity of the Luttinger sum rule is investigated within the prototype tight-binding model of interacting fermions in one dimension, i.e., the t-V model including the next-nearest neighbor hopping t' in order to break the particle-hole symmetry. Scaling analysis of finite-system results at half-filling reveals evident breakdown of the sum rule in the regime of large gap at V >> t, while the sum rule appears to recover together with vanishing of the Mott-Hubbard gap.

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