Asymptotic safety is a theoretical proposal for the ultraviolet completion of quantum field
theories, in particular for quantum gravity. Significant progress on this program has led to a …

A bstract We perform a bootstrap analysis of a mixed system of four-point functions of
bosonic and fermionic operators in parity-preserving 3d CFTs with O (N) global symmetry …

The fermion disorder operator has been shown to reveal the entanglement information in 1D
Luttinger liquids and 2D free and interacting Fermi and non-Fermi liquids emerging at …

This review summarizes recent developments in the study of fermionic quantum criticality,
focusing on new progress in numerical methodologies, especially quantum Monte Carlo …

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 study the chiral Ising, the chiral XY, and the chiral Heisenberg models at four-loop order
with the perturbative renormalization group in 4-ε dimensions and compute critical …

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 …

Spinless fermions on a honeycomb lattice provide a minimal realization of lattice Dirac
fermions. Repulsive interactions between nearest neighbors drive a quantum phase …

A bstract We study the conformal bootstrap for 4-point functions of fermions< ψ i ψ j ψ k ψ ℓ>
in parity-preserving 3d CFTs, where ψ i transforms as a vector under an O (N) global …

Electrons on the half-filled honeycomb lattice are expected to undergo a direct continuous
transition from the semimetallic into the antiferromagnetic insulating phase with increase of …