Dirac fermions with plaquette interactions. III. SU(N) phase diagram with Gross-Neveu criticality and first-order phase transition
arXiv:2207.13349 · doi:10.1103/PhysRevB.106.155159
Abstract
Inspired by our recent works[1, 2] of SU(2) and SU(4) Dirac fermions subjected to plaquette interactions on square lattice, here we extend the large-scale quantum Monte Carlo investigations to the phase digram of correlated Dirac fermions with SU(6) and SU(8) symmetries subjected to the plaquette interaction on the same lattice. From SU(2) to SU(8), the rich phase diagram exhibits a plethora of emerging quantum phases such as the Dirac semimetal, the antiferromagnetic Mott insulator, valence bond solid (VBS) and the Dirac spin liquid and phase transitions including the Gross-Neveu chiral transitions with emergent continuous symmetry, the deconfined quantum criticality and the first order transition between interaction-driven columnar VBS and plaquette VBS. These rich phenomena coming from the simple-looking lattice models, firmly convey the message that the interplay between the Dirac fermions -- with enhanced internal symmetries -- and extended plaquette interactions -- beyond the on-site Hubbard type -- is the new playground to synthesise novel highly entangled quantum matter both at the model level and with experimental feasibilities.
arXiv comment9 pages, 7 figures
References in corpus (74)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Moire bands in twisted double-layer graphene
- Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
- Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
- Graphene bilayer with a twist: electronic structure
- Intrinsic quantized anomalous Hall effect in a moiré heterostructure
- Magic continuum in twisted bilayer WSe2
- Magic Angle Spectroscopy
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Tunable Correlated Chern Insulator and Ferromagnetism in Trilayer Graphene/Boron Nitride Moiré Superlattice
- Localization of Dirac electrons by Moire patterns in graphene bilayers
- Dirac fermions and flat bands in the ideal kagome metal FeSn
- Spectroscopic signatures of many-body correlations in magic angle twisted bilayer graphene
- Continuum Model of the Twisted Bilayer
- Projected wavefunction study of Spin-1/2 Heisenberg model on the Kagome lattice
- Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
- Quantum anomalous Hall effect from intertwined moiré bands
- Correlated states in twisted double bilayer graphene
- Interactions and phase transitions on graphene's honeycomb lattice
- Electronic properties of graphene-based bilayer systems
- Strongly Correlated Chern Insulators in Magic-Angle Twisted Bilayer Graphene
- Cascade of Phase Transitions and Dirac Revivals in Magic Angle Graphene
- Ultracold Fermi Gases with Emergent SU(N) Symmetry
- Theory of interacting electrons on the honeycomb lattice
- Quantum Criticality in Twisted Transition Metal Dichalcogenides
- Numerical studies of confined states in rotated bilayers of graphene
- Flavour Hund's Coupling, Correlated Chern Gaps, and Diffusivity in Moiré Flat Bands
- A sufficient condition for the absence of the sign problem in the fermionic quantum Monte-Carlo algorithm
- Entropic evidence for a Pomeranchuk effect in magic angle graphene
- Quantum phases of Rydberg atoms on a kagome lattice
- Fermionic quantum criticality in honeycomb and -flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
- Relativistic Mott criticality in graphene
- Universal quantum criticality in the metal-insulator transition of two-dimensional interacting Dirac electrons
- Charged Skyrmions and Topological Origin of Superconductivity in Magic Angle Graphene
- Kekulé valence bond order in an extended Hubbard model on the honeycomb lattice, with possible applications to twisted bilayer graphene
- Electronic Compressibility of Magic-Angle Graphene Superlattices
- Phase diagram of the half-filled two-dimensional SU(N) Hubbard-Heisenberg model: a quantum Monte Carlo study
- Efficient simulation of moire materials using the density matrix renormalization group
- Lattice reconstruction induced multiple ultra-flat bands in twisted bilayer WSe2
- Fermion-induced quantum critical points
- Giant nonlinear Hall effect in twisted WSe
- Finite-size scaling at quantum transitions
- Correlation-induced insulating topological phases at charge neutrality in twisted bilayer graphene
- 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 superconducting criticality in graphene and topological insulators
- Quantum Monte Carlo simulation of the chiral Heisenberg Gross-Neveu-Yukawa phase transition with a single Dirac cone
- Mott insulating states and quantum phase transitions of correlated SU(2N) Dirac fermions
- Momentum space quantum Monte Carlo on twisted bilayer Graphene
- Interaction induced Dirac fermions from quadratic band touching in bilayer graphene
- Spin excitations in metallic kagome lattice FeSn and CoSn
- Triangular lattice quantum dimer model with variable dimer density
- Spin nematics, valence-bond solids and spin liquids in SO() quantum spin models on the triangular lattice
- Strain-induced time-reversal odd superconductivity in graphene
- SU(N) quantum spin models: A variational wavefunction study
- Skyrmion Superconductivity: DMRG evidence for a topological route to superconductivity
- Quantum disordered phase near the Mott transition in the staggered-flux Hubbard model on a square lattice
- Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: a quantum Monte Carlo study
- Spectroscopy of a Tunable Moiré System with a Correlated and Topological Flat Band
- Multi-critical behavior of Gross-Neveu-Yukawa theory in graphene
- Designer Monte Carlo Simulation for Gross-Neveu Transition
- Pomeranchuk cooling of the SU() ultra-cold fermions in optical lattices
- Dynamical Generation of Topological Masses in Dirac Fermions
- Dynamical properties of collective excitations in twisted bilayer Graphene
- Correlated Insulating Phases in the Twisted Bilayer Graphene
- Dirac fermions with plaquette interactions. I. SU(2) phase diagram with Gross-Neveu and deconfined quantum criticalities
- Mott transition in the -flux SU() Hubbard model on a square lattice
- Emergent O(4) symmetry at the phase transition from plaquette-singlet to antiferromagnetic order in quasi-two-dimensional quantum magnets
- Dirac fermions with plaquette interactions. II. SU(4) phase diagram with Gross-Neveu criticality and quantum spin liquid
- Itinerant quantum multi-criticality of two dimensional Dirac fermions
- Topological phase transitions with SO(4) symmetry in (2+1)d interacting Dirac fermions
- Trions in Twisted Bilayer Graphene
- Projection of Infinite- Hubbard Model and Algebraic Sign Structure
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- Fermion disorder operator at Gross-Neveu and deconfined quantum criticalities
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- Incremental SWAP Operator for Entanglement Entropy: Application for Exponential Observables in Quantum Monte Carlo Simulation
- Trion states and quantum criticality of attractive SU(3) Dirac fermions
- Emus live on the Gross-Neveu-Yukawa archipelago
- Angle-Tuned Gross-Neveu Quantum Criticality in Twisted Bilayer Graphene: A Quantum Monte Carlo Study
- Caution on Gross-Neveu criticality with a single Dirac cone: Violation of locality and its consequence of unexpected finite-temperature transition
- Existence of two distinct valence bond solid states in the dimerized frustrated ferromagnetic -- chain
- Deconfined pseudocriticality in a model spin-1 quantum antiferromagnet
- Universal collective Larmor-Silin mode emerging in magnetized correlated Dirac fermions