This review summarizes recent developments in the study of fermionic quantum criticality,
focusing on new progress in numerical methodologies, especially quantum Monte Carlo …

A key problem in the field of quantum criticality is to understand the nature of quantum phase
transitions in systems of interacting itinerant fermions, motivated by experiments on a variety …

We develop a self-consistent variant of the constrained path quantum Monte Carlo approach
which ensures its independence of the trial wave function, and apply the method to compute …

Antiferromagnetism (AFM) such as Néel ordering is often closely related to Coulomb
interactions such as Hubbard repulsion in two-dimensional (2D) systems. Whether Néel …

The Hubbard and Su-Schrieffer-Heeger (SSH) Hamiltonians are iconic models for
understanding the qualitative effects of electron-electron and electron-phonon interactions …

Over the past several years, a new generation of quantum simulations has greatly expanded
our understanding of charge density wave phase transitions in Hamiltonians with coupling …

The two-dimensional Su-Schrieffer-Heeger model of electrons coupled to quantum phonons
is investigated using Langevin dynamics within the framework of auxiliary-field quantum …

The Su-Schrieffer-Heeger (SSH) model, with bond phonons modulating electron tunneling,
is a paradigmatic electron-phonon model that hosts an antiferromagnetic order to bond …

The effect of electron-electron interactions on Dirac fermions, and the possibility of an
intervening spin-liquid phase between the semimetal and antiferromagnetic (AF) regimes …

The electron–electron and electron–phonon interactions play an important role in correlated
materials, being key features for spin, charge and pair correlations. Thus, here we …