Nonlocal Correlation Effects in dc and Optical Conductivity of the Hubbard Model
Abstract
Conductivity is one of the most direct probes of electronic systems, yet its theoretical description remains challenging in the presence of strong nonlocal correlations. In this Letter, we analyze the conductivity of the half-filled single-band Hubbard model and identify the role of spatial correlations across the Mott transition. We show that in the correlated metallic regime, an accurate description of the conductivity requires not only the correct spectral function but also the inclusion of complex multielectron processes encoded in vertex corrections. The crossover to the Mott insulating regime is marked by a vanishing contribution of vertex corrections to the dc conductivity. However, in the Mott insulating case vertex corrections remain significant for the optical conductivity.
Fields of Study & Subjects
Physics of Superconductivity and Magnetism
Quantum and electron transport phenomena
Organic and Molecular Conductors Research
Publication details
- Journal / source
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Volume
- 136
- Issue
- 10
- Pages
- 106905–106905
- Publication date
- 17 February 2026
- Language
- EN