Graphene has attracted intense research interest due to its extraordinary properties and
great application potential. Various methods have been proposed for the synthesis of …

Lattice field theory methods, usually associated with non-perturbative studies of quantum
chromodynamics, are becoming increasingly common in the calculation of ground-state and …

We report on hybrid Monte Carlo simulations of the tight-binding model with long-range
Coulomb interactions for the electronic properties of graphene. We investigate the …

The space of local operators in three-dimensional quantum electrodynamics contains
monopole operators that create n units of gauge flux emanating from the insertion point. This …

We study the effect of Coulomb interaction between charge carriers on the properties of
graphene monolayer, assuming that the strength of the interaction is controlled by the …

Using first-principle Hybrid Monte Carlo (HMC) simulations, we carry out an unbiased study
of the competition between spin-density wave (SDW) and charge-density wave (CDW) order …

We present a direct Monte Carlo determination of the scaling dimension of a topological
defect operator in the infrared fixed point of a three-dimensional interacting quantum field …

Many-body electron-electron interaction effects are theoretically considered in monolayer
graphene from a continuum effective field-theoretic perspective by going beyond the …

The recently proposed fermion-bag approach is a powerful technique to solve some four-
fermion lattice field theories. Because of the existence of a duality between strong and weak …

Abstract This study employs Monte Carlo simulations to investigate the magnetic
characteristics of graphene and Borophene lattices, emphasizing various physical …