Critical reflections on asymptotically safe gravity
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 …
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
Reliable simulations of correlated quantum systems, including high-temperature
superconductors and frustrated magnets, are increasingly desired nowadays to further our …
superconductors and frustrated magnets, are increasingly desired nowadays to further our …
Machine learning quantum phases of matter beyond the fermion sign problem
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 …
mechanics via their capacity to distinguish different phases of matter in an automated way …
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 …
The Gross-Neveu-Yukawa archipelago
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 …
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
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 …
Solving the fermion sign problem in quantum Monte Carlo simulations by Majorana representation
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 …
interacting fermion models by employing a Majorana representation of complex fermions …
Four-loop critical exponents for the Gross-Neveu-Yukawa models
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 …
with the perturbative renormalization group in 4-ε dimensions and compute critical …
Non-hermitian strongly interacting Dirac fermions
Exotic quantum phases and phase transition in the strongly interacting Dirac systems have
attracted tremendous interests. On the other hand, non-Hermitian physics, usually …
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
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 …
and the π-flux lattice, which exhibits a direct transition from a Dirac semimetal to an …