Emus live on the Gross-Neveu-Yukawa archipelago

Abstract

It is expected that the Gross-Neveu-Yukawa (GNY) chiral Ising transition of $N$ Majorana (or $N_f=N/4$ four-component Dirac) fermions coupled with scalar field in (2+1)D will be the first fermionic quantum critical point that various methods such as conformal bootstrap [1], perturbative renormalization group [2] and quantum Monte Carlo (QMC) simulations [3], would yield the converged critical exponents -- serving the same textbook role as the Ising and $O(N)$ models in the statistical and quantum phase transition. However, such expectation has not been fully realized from the lattice QMC simulations due to the obstacles introduced by the UV finite size effect. In this work, by means of the elective-momentum ultra-size (EMUS) QMC method [4], we compute the critical exponents of the GNY $N=8$ chiral Ising transition on a 2D $\pi$-flux fermion lattice model between Dirac semimetal and quantum spin Hall insulator phases [3, 5]. With the matching of fermionic and bosonic momentum transfer and collective update in momentum space, our QMC results provide the fully consistent exponents with those obtained from the bootstrap and perturbative approaches. In this way, the Emus now live happily on the $N=8$ island and could explore the Gross-Neveu-Yukawa archipelago [1] with ease.

arXiv comment6 pages + 3 pages supplementary material, 3 figures

References in corpus (53)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Solving the 3D Ising Model with the Conformal Bootstrap
• Dirac fermions and flat bands in the ideal kagome metal FeSn
• Moiré heterostructures as a condensed matter quantum simulator
• Precision Islands in the Ising and $O(N)$ Models
• Topological kagome magnets and superconductors
• Interactions and phase transitions on graphene's honeycomb lattice
• A Finite Size Scaling Study of Lattice Models in the three-dimensional Ising Universality Class
• Theory of interacting electrons on the honeycomb lattice
• Minimally subtracted six loop renormalization of $O(n)$-symmetric ${\varphi }^4$ theory and critical exponents
• Relativistic Mott criticality in graphene
• High-precision finite-size scaling analysis of the quantum-critical point of S=1/2 Heisenberg antiferromagnetic bilayers
• Four-loop critical exponents for the Gross-Neveu-Yukawa models
• Carving out OPE space and precise $O(2)$ model critical exponents
• Quantum phase transitions in d-wave superconductors
• Bootstrapping Heisenberg Magnets and their Cubic Instability
• Ising exponents from the functional renormalisation group
• Correlation-induced insulating topological phases at charge neutrality in twisted bilayer graphene
• Bootstrapping 3D Fermions with Global Symmetries
• Is magic-angle twisted bilayer graphene near a quantum critical point?
• Superconductivity from the Condensation of Topological Defects in a Quantum Spin-Hall Insulator
• Quantum critical behavior in three dimensional lattice Gross-Neveu models
• Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry
• Exotic Quantum Phase Transitions of $(2+1)d$ Dirac fermions
• Critical behavior of Dirac fermions from perturbative renormalization
• Four loop renormalization of the Gross-Neveu model
• Quantum Monte Carlo simulation of the chiral Heisenberg Gross-Neveu-Yukawa phase transition with a single Dirac cone
• Massive fermions without fermion bilinear condensates
• Interaction induced Dirac fermions from quadratic band touching in bilayer graphene
• The Gross-Neveu-Yukawa Archipelago
• Fermion mass without symmetry breaking
• Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations
• Fermion disorder operator at Gross-Neveu and deconfined quantum criticalities
• Revealing Fermionic Quantum Criticality from New Monte Carlo Techniques
• Designer Monte Carlo Simulation for Gross-Neveu Transition
• Dynamical properties of collective excitations in twisted bilayer Graphene
• Dynamical Generation of Topological Masses in Dirac Fermions
• Correlated Insulating Phases in the Twisted Bilayer Graphene
• Doping-induced quantum spin Hall insulator to superconductor transition
• Superconductivity and bosonic fluid emerging from Moiré flat bands
• Competing nodal d-wave superconductivity and antiferromagnetism
• Quantum critical point of Dirac fermion mass generation without spontaneous symmetry breaking
• Dirac fermions with plaquette interactions. I. SU(2) phase diagram with Gross-Neveu and deconfined quantum criticalities
• Chiral Ising Gross-Neveu criticality of a single Dirac cone: A quantum Monte Carlo study
• Dirac fermions with plaquette interactions. II. SU(4) phase diagram with Gross-Neveu criticality and quantum spin liquid
• Dirac fermions with plaquette interactions. III. SU(N) phase diagram with Gross-Neveu criticality and first-order phase transition
• EMUS-QMC: Elective Momentum Ultra-Size Quantum Monte Carlo Method
• Nematic Quantum Criticality in Dirac Systems
• Projection of Infinite-$U$ Hubbard Model and Algebraic Sign Structure
• Validity of SLAC fermions for the (1 + 1)-dimensional helical Luttinger liquid
• A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
• Chiral critical behavior of 3D lattice fermionic models with quartic interactions

Cited by in corpus (9)

• Evolution of entanglement entropy at SU($N$) deconfined quantum critical points
• An integral algorithm of exponential observables for interacting fermions in quantum Monte Carlo simulation
• Entanglement Microscopy: Tomography and Entanglement Measures via Quantum Monte Carlo
• Angle-Tuned Gross-Neveu Quantum Criticality in Twisted Bilayer Graphene: A Quantum Monte Carlo Study
• Relativistic Mott transitions and finite-temperature effects of quantum criticality in Dirac semimetals
• Absence of SO(4) quantum criticality in Dirac semimetals at two-loop order
• Nonequilibrium Dynamics of Dirac Quantum Criticality in Imaginary Time
• Instabilities of a Generalized Gross-Neveu Quantum Criticality
• Addressing the Infinite Variance Problem in Fermionic Monte Carlo Simulations: Retrospective Error Remediation and the Exact Bridge Link Method