Competing and intertwined orders including inhomogeneous patterns of spin and charge
are observed in many correlated electron materials, such as high-temperature …

Exponential observables, formulated as ln〈 e X ̂〉 where X ̂ is an extensive quantity, play
a critical role in the study of quantum many-body systems, examples of which include the …

Sign problem in quantum Monte Carlo (QMC) simulation appears to be an extremely hard
yet interesting problem. In this article, we present a pedagogical overview on the origin of …

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 …

We introduce methodologies for highly scalable quantum Monte Carlo simulations of
electron-phonon models, and we report benchmark results for the Holstein model on the …

Sign problems in fermion quantum Monte Carlo (QMC) simulation appears to be an
extremely hard problem. Traditional lore passing around for years tells people that when …

We reinvestigate the phase transitions of the Ising model on the kagome lattice with
antiferromagnetic nearest-neighbor and ferromagnetic next-nearest-neighbor interactions …

In strongly correlated materials, interacting electrons are entangled and form collective
quantum states, resulting in rich low-temperature phase diagrams. Notable examples …

We study quantum multicritical behavior in a (2+ 1)-dimensional Gross-Neveu-Yukawa field
theory with eight-component Dirac fermions coupled to two triplets of order parameters that …

The mystery of the infamous sign problem in quantum Monte Carlo simulations mightily
restricts applications of the method in fermionic and frustrated systems. A recent work …