Quantum criticality of bandwidth-controlled Mott transition
arXiv:2302.14605 · doi:10.1103/PhysRevResearch.5.033186
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.
arXiv comment18 pages, 16 figures
References in corpus (28)
- Quantum Spin Liquid States
- Generalized Lanczos Algorithm for Variational Quantum Monte Carlo
- Universality and Critical Behavior at the Mott transition
- Continuous Mott transition in semiconductor moiré superlattices
- Variational Monte Carlo Method Combined with Quantum-Number Projection and Multi-Variable Optimization
- Dirac-type nodal spin liquid revealed by refined quantum many-body solver using neural-network wave function, correlation ratio, and level spectroscopy
- Quantum Critical Transport Near the Mott Transition
- Weakly coupled one-dimensional Mott insulators
- Finite temperature crossovers and the quantum Widom line near the Mott transition
- Origin of high-Tc superconductivity in doped Hubbard models and their extensions: Roles of uniform charge fluctuations
- mVMC - Open-source software for many-variable variational Monte Carlo method
- Competition among various charge-inhomogeneous states and d-wave superconducting state in Hubbard models on square lattices
- Universality Classes of Metal-Insulator Transitions in Strongly Correlated Electron Systems and Mechanism of High-Temperature Superconductivity
- Quantum and Topological Criticalities of Lifshitz Transition in Two-Dimensional Correlated Electron Systems
- Interaction induced Dirac fermions from quadratic band touching in bilayer graphene
- Stripe and superconducting order competing in the Hubbard model on a square lattice studied by a combined variational Monte Carlo and tensor network method
- Hidden Mott transition and large- superconductivity in the two-dimensional Hubbard model
- Spin nematics, valence-bond solids and spin liquids in SO() quantum spin models on the triangular lattice
- Quantum criticality around metal-insulator transitions of strongly correlated electrons
- Superconductivity and its mechanism in an ab initio model for electron-doped LaFeAsO
- Mott quantum criticality in the one-band Hubbard model: Dynamical mean-field theory, power-law spectra, and scaling
- Excitons and Dark Fermions as Origins of Mott Gap, Pseudogap and Superconductivity in Cuprate Superconductors --- General Idea and Basic Concept Based on Gap Physics
- Unconventional dual 1D-2D quantum spin liquid revealed by studies on organic solids family
- Finite-Temperature Variational Monte Carlo Method for Strongly Correlated Electron Systems
- Charge Order and Superconductivity as Competing Brothers in Cuprate High- Superconductors
- Mott Quantum Criticality in the Anisotropic 2D Hubbard Model
- Finite energy spectral function of an anisotropic 2D system of coupled Hubbard chains
- Local moments versus itinerant antiferromagnetism: magnetic phase diagram and spectral properties of the anisotropic square lattice Hubbard model