Critical reflections on asymptotically safe gravity

A Bonanno, A Eichhorn, H Gies, JM Pawlowski… - Frontiers in …, 2020 - frontiersin.org
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 …

Sign-problem-free fermionic quantum Monte Carlo: Developments and applications

ZX Li, H Yao - Annual Review of Condensed Matter Physics, 2019 - annualreviews.org
Reliable simulations of correlated quantum systems, including high-temperature
superconductors and frustrated magnets, are increasingly desired nowadays to further our …

Machine learning quantum phases of matter beyond the fermion sign problem

P Broecker, J Carrasquilla, RG Melko, S Trebst - Scientific reports, 2017 - nature.com
State-of-the-art machine learning techniques promise to become a powerful tool in statistical
mechanics via their capacity to distinguish different phases of matter in an automated way …

Quantum critical points and the sign problem

R Mondaini, S Tarat, RT Scalettar - Science, 2022 - science.org
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 …

The Gross-Neveu-Yukawa archipelago

RS Erramilli, LV Iliesiu, P Kravchuk, A Liu… - Journal of High Energy …, 2023 - Springer
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 …

Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons

Y Otsuka, S Yunoki, S Sorella - Physical Review X, 2016 - APS
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 …

Solving the fermion sign problem in quantum Monte Carlo simulations by Majorana representation

ZX Li, YF Jiang, H Yao - Physical Review B, 2015 - APS
We discover a quantum Monte Carlo (QMC) method to solve the fermion sign problem in
interacting fermion models by employing a Majorana representation of complex fermions …

Four-loop critical exponents for the Gross-Neveu-Yukawa models

N Zerf, LN Mihaila, P Marquard, IF Herbut, MM Scherer - Physical Review D, 2017 - APS
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 …

Non-hermitian strongly interacting Dirac fermions

XJ Yu, Z Pan, L Xu, ZX Li - Physical Review Letters, 2024 - APS
Exotic quantum phases and phase transition in the strongly interacting Dirac systems have
attracted tremendous interests. On the other hand, non-Hermitian physics, usually …

Fermionic quantum criticality in honeycomb and -flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo

F Parisen Toldin, M Hohenadler, FF Assaad, IF Herbut - Physical Review B, 2015 - APS
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 …