The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

In any medium there are fluctuations due to temperature or due to the quantum nature of its
constituents. If a material body is immersed into such a medium, its shape and the properties …

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 …

We numerically investigate the critical behavior of the Hubbard model on the honeycomb
and the π-flux lattice, which exhibits a direct transition from a Dirac semimetal to an …

We examine the phase structure of the two-flavor Schwinger model as a function of the θ
angle and the two masses, m 1 and m 2. In particular, we find interesting effects at θ= π …

We consider a dynamic protocol for quantum many-body systems, which enables us to study
the interplay between unitary Hamiltonian driving and random local projective …

We investigate the ground state phase diagram of an extended Hubbard model with a π-flux
hopping term at half filling on a square lattice, with unbiased large-scale auxiliary-field …

We study the boundary critical behavior of the three-dimensional Heisenberg universality
class, in the presence of a bidimensional surface. By means of high-precision Monte Carlo …

We present quantum Monte Carlo simulations for the chiral Heisenberg Gross-Neveu-
Yukawa quantum phase transition of relativistic fermions with N= 4 Dirac spinor components …

Motivated by the physics of spin-orbital liquids, we study a model of interacting Dirac
fermions on a bilayer honeycomb lattice at half filling, featuring an explicit global SO (3)× U …