Local Electron Correlations in a Two-dimensional Hubbard Model on the Penrose Lattice

TL;DR

This paper investigates how quasiperiodic structure influences electron correlations and the Mott transition in a two-dimensional Hubbard model on a Penrose lattice using real-space dynamical mean-field theory.

Contribution

It introduces a detailed analysis of local electron correlations and Mott transition behavior in a quasiperiodic lattice, highlighting spatially-dependent renormalization effects.

Findings

Identification of the Mott transition in the Penrose lattice

Spatial variation in renormalization factors

Impact of quasiperiodic structure on low-temperature properties

Abstract

We study electron correlations in the half-filled Hubbard model on two-dimensional Penrose lattice. Applying the real-space dynamical mean-field theory to large clusters, we discuss how low-temperature properties are affected by the quasiperiodic structure. By calculating the double occupancy and renormalization factor at each site, we clarify the existence of the Mott transition. The spatially-dependent renormalization characteristic of geometrical structure is also addressed.