The Hubbard model: A computational perspective

M Qin, T Schäfer, S Andergassen… - Annual Review of …, 2022 - annualreviews.org
The Hubbard model is the simplest model of interacting fermions on a lattice and is of similar
importance to correlated electron physics as the Ising model is to statistical mechanics or the …

Quantum phases driven by strong correlations

S Paschen, Q Si - Nature Reviews Physics, 2021 - nature.com
It has long been thought that strongly correlated systems are adiabatically connected to their
non-interacting counterpart. Recent developments have highlighted the fallacy of this …

Continuous Mott transition in semiconductor moiré superlattices

T Li, S Jiang, L Li, Y Zhang, K Kang, J Zhu, K Watanabe… - Nature, 2021 - nature.com
The evolution of a Landau Fermi liquid into a non-magnetic Mott insulator with increasing
electronic interactions is one of the most puzzling quantum phase transitions in physics …

A quantum magnetic analogue to the critical point of water

JL Jiménez, SPG Crone, E Fogh, ME Zayed, R Lortz… - Nature, 2021 - nature.com
At the liquid–gas phase transition in water, the density has a discontinuity at atmospheric
pressure; however, the line of these first-order transitions defined by increasing the applied …

Efficient real-frequency solver for dynamical mean-field theory

Y Lu, M Höppner, O Gunnarsson, MW Haverkort - Physical Review B, 2014 - APS
We here present how a self-consistent solution of the dynamical mean-field theory equations
can be obtained using exact diagonalization of an Anderson impurity model with accuracies …

Dynamical mean-field theory of moiré bilayer transition metal dichalcogenides: Phase diagram, resistivity, and quantum criticality

J Zang, J Wang, J Cano, A Georges, AJ Millis - Physical Review X, 2022 - APS
We present a comprehensive dynamical mean field study of the triangular lattice moiré
Hubbard model, which is believed to represent the physics of moiré bilayer transition metal …

[HTML][HTML] Quantum criticality of Mott transition in organic materials

T Furukawa, K Miyagawa, H Taniguchi, R Kato… - Nature Physics, 2015 - nature.com
A many-body quantum system on the verge of instability between two competing ground
states may exhibit quantum-critical phenomena,, as has been intensively studied for …

Frustration and quantum criticality

M Vojta - Reports on Progress in Physics, 2018 - iopscience.iop.org
This review article is devoted to the interplay between frustrated magnetism and quantum
critical phenomena, covering both theoretical concepts and ideas as well as recent …

Singular charge fluctuations at a magnetic quantum critical point

L Prochaska, X Li, DC MacFarland, AM Andrews… - Science, 2020 - science.org
Strange metal behavior is ubiquitous in correlated materials, ranging from cuprate
superconductors to bilayer graphene, and may arise from physics beyond the quantum …

Metal-insulator transition in transition metal dichalcogenide heterobilayer moiré superlattices

N Morales-Durán, AH MacDonald, P Potasz - Physical Review B, 2021 - APS
Moiré superlattices formed in two-dimensional semiconductor heterobilayers provide a new
realization of Hubbard model physics in which the number of electrons per effective atom …