The Monte Carlo evaluation of path integrals is one of a few general purpose methods to
approach strongly coupled systems. It is used in all branches of physics, from QCD and …

Exotic quantum phases and phase transition in the strongly interacting Dirac systems have
attracted tremendous interests. On the other hand, non-Hermitian physics, usually …

Abstract Determinant Quantum Monte Carlo (DQMC) provides numerically exact solutions
for strongly correlated fermionic systems but faces significant computational challenges with …

Wilson–Fisher expansion near upper critical dimension has proven to be an invaluable
conceptual and computational tool in our understanding of the universal critical behavior in …

Performing a leading-order renormalization group analysis, here we compute the effects of
generic local or short-range electronic interactions in monolayer and the Bernal bilayer …

The absence of screening of the nonlocal Coulomb interaction in Dirac systems at charge
neutrality leads to the breakdown of the Fermi liquid and divergence of the Fermi velocity …

We study the Gross-Neveu model in 2+ 1 dimensions in an external magnetic field B. We
first summarize known mean-field results, obtained in the limit of large flavor number N f …

The path integral formulation of quantum mechanical problems including fermions is often
affected by a severe numerical sign problem. We show how such a sign problem can be …

A key component of the phase diagram of many iron-based superconductors and electron-
doped cuprates is believed to be a quantum critical point (QCP), delineating the onset of …

A hybrid of the critical three-dimensional Gross-Neveu and Thirring models deformed by
explicit parity-breaking operators is studied in the large-N expansion and using the …