The hubbard model
The repulsive Hubbard model has been immensely useful in understanding strongly
correlated electron systems and serves as the paradigmatic model of the field. Despite its …
correlated electron systems and serves as the paradigmatic model of the field. Despite its …
The Hubbard model: A computational perspective
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 …
importance to correlated electron physics as the Ising model is to statistical mechanics or the …
Quantum critical points and the sign problem
The “sign problem”(SP) is a fundamental limitation to simulations of strongly correlated
matter. It is often argued that the SP is not intrinsic to the physics of particular Hamiltonians …
matter. It is often argued that the SP is not intrinsic to the physics of particular Hamiltonians …
Scaling of entanglement entropy at deconfined quantum criticality
We develop a nonequilibrium increment method to compute the Rényi entanglement
entropy and investigate its scaling behavior at the deconfined critical (DQC) point via large …
entropy and investigate its scaling behavior at the deconfined critical (DQC) point via large …
Unconventional superconductivity in nearly flat bands in twisted bilayer graphene
Flat electronic bands can accommodate a plethora of interaction-driven quantum phases,
since kinetic energy is quenched therein and electronic interactions therefore prevail …
since kinetic energy is quenched therein and electronic interactions therefore prevail …
Localized magnetic field in the O (N) model
A bstract We consider the critical O (N) model in the presence of an external magnetic field
localized in space. This setup can potentially be realized in quantum simulators and in some …
localized in space. This setup can potentially be realized in quantum simulators and in some …
Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice with possible applications to twisted bilayer graphene
Using large-scale quantum Monte Carlo simulations, we exactly solve a model of fermions
hop** on the honeycomb lattice with cluster charge interactions, which has been …
hop** on the honeycomb lattice with cluster charge interactions, which has been …
Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
The metal-insulator transition has been a subject of intense research since Mott first
proposed that the metallic behavior of interacting electrons could turn to an insulating one as …
proposed that the metallic behavior of interacting electrons could turn to an insulating one as …
Spin impurities, Wilson lines and semiclassics
A bstract We consider line defects with large quantum numbers in conformal field theories.
First, we consider spin impurities, both for a free scalar triplet and in the Wilson-Fisher O (3) …
First, we consider spin impurities, both for a free scalar triplet and in the Wilson-Fisher O (3) …
Phases of Wilson lines in conformal field theories
We study the low-energy limit of Wilson lines (charged impurities) in conformal gauge
theories in 2+ 1 and 3+ 1 dimensions. As a function of the representation of the Wilson line …
theories in 2+ 1 and 3+ 1 dimensions. As a function of the representation of the Wilson line …