Finite-size scaling for Mott metal-insulator transition on a half-filled non-partite lattice

TL;DR

This paper investigates the finite-size scaling behavior of the Mott metal-insulator transition on a non-partite lattice using a multi-stage real-space renormalization group approach, identifying critical parameters and exponents.

Contribution

It introduces a novel application of multi-stage real-space RG to analyze finite-size effects in the Mott transition on non-partite lattices, providing new critical exponents and scaling relations.

Findings

Critical point at U/t=12.5 for the MIT

Correlation length exponent nu=1

Dynamic exponent z=0.91

Abstract

By applying a multi-stage real-space renormalization group procedure to Hubbard model, we examine the finite-size scaling in Mott metal-insulator transition(MIT) on a non-partite lattice. It is found that there exists a critic point U/t=12.5 for the MIT and the corresponding critical exponent for correlation length niu= 1 and the dynamic exponent z = 0.91 are obtained. On the critical point, the charge gap scales with the system size as Delta-g~1/L^0.91.