Charge transport in the Hubbard model at high temperatures: triangular versus square lattice

TL;DR

This study investigates how lattice frustration affects high-temperature charge transport in the Hubbard model using DMFT and FTLM, revealing differences in vertex corrections and resistivity behavior between triangular and square lattices.

Contribution

It provides a comparative analysis of charge transport in frustrated and unfrustrated lattices at high temperatures using advanced numerical methods.

Findings

Vertex corrections are less significant on the triangular lattice.

Resistivity shows approximately linear temperature dependence in doped Mott insulators.

Self-energy becomes local at high temperatures for both lattice types.

Abstract

High-temperature bad-metal transport has been recently studied both theoretically and in experiments as one of the key signatures of strong electronic correlations. Here we use the dynamical mean field theory (DMFT) and its cluster extensions, as well as the finite-temperature Lanczos method (FTLM) to explore the influence of lattice frustration on the thermodynamic and transport properties of the Hubbard model at high temperatures. We consider the triangular and the square lattice at half-filling and at 15\% hole-doping. We find that for $T \gtrsim 1.5t$ the self-energy becomes practically local, while the finite-size effects become small at lattice-size $4 \times 4$ for both lattice types and doping levels. The vertex corrections to optical conductivity, which are significant on the square lattice even at high temperatures, contribute less on the triangular lattice. We find approximately linear temperature dependence of dc resistivity in doped Mott insulator for both types of lattices.