# Quantum criticality of bandwidth-controlled Mott transition

## TL;DR

This paper investigates the quantum criticality of bandwidth-controlled Mott transitions using variational Monte Carlo methods, revealing critical exponents and universality class, and contrasting it with filling-controlled transitions to deepen understanding of quantum phases in correlated materials.

## Contribution

It provides a quantitative estimate of the universality class and critical exponents for bandwidth-controlled Mott transitions using advanced computational methods.

## Key findings

- Critical exponents characterized the transition's universality class.
- Weaker charge and density instabilities compared to filling-controlled transitions.
- Implications for superconductivity and strange metal phases.

## Abstract

Metallic states near the Mott insulator show a variety of quantum phases including various magnetic, charge ordered states and high-temperature superconductivity in various transition metal oxides and organic solids. The emergence of a variety of phases and their competitions are likely intimately associated with quantum transitions between the electron-correlation driven Mott insulator and metals characterized by its criticality, and is related to many central questions of condensed matter. The quantum criticality is, however, not well understood when the transition is controlled by the bandwidth through physical parameters such as pressure. Here, we quantitatively estimate the universality class of the transition characterized by a comprehensive set of critical exponents by using a variational Monte Carlo method implemented as an open-source innovated quantum many-body solver, with the help of established scaling laws at a typical bandwidth-controlled Mott transition. The criticality indicates a weaker charge and density instability in contrast to the filling-controlled transition realized by carrier doping, implying a weaker instability to superconductivity as well. The present comprehensive clarification opens up a number of routes for quantitative experimental studies for complete understanding of elusive quantum Mott transition and nearby strange metal that cultivate future design of functionality.