Strength of effective Coulomb interactions in graphene and graphite

Abstract

To obtain an effective many-body model of graphene and related materials from first principles we calculate the partially screened frequency dependent Coulomb interaction. In graphene, the effective on-site (Hubbard) interaction is U_00 = 9.3 eV in close vicinity to the critical value separating conducting graphene from an insulating phase emphasizing the importance of non-local Coulomb terms. The nearest-neighbor Coulomb interaction strength is computed to U_01 = 5.5 eV. In the long wavelength limit, we find the effective background dielectric constant of graphite to be ε= 2.5 in very good agreement with experiment.

4 pages, 3 figures (revised version)

References in corpus (15)

• The electronic properties of graphene
• Induced Magnetic Ordering by Proton Irradiation in Graphite
• Topological Mott Insulators
• Room-temperature ferromagnetism in graphite driven by 2D networks of point defects
• Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
• Interactions and phase transitions on graphene's honeycomb lattice
• Calculations of Hubbard U from first-principles
• Limits on intrinsic magnetism in graphene
• Effective Coulomb interaction in transition metals from constrained random-phase approximation
• Is graphene in vacuum an insulator?
• Density waves and Cooper pairing on the honeycomb lattice
• Efficient implementation of the GW approximation within the all-electron FLAPW method
• The effective fine structure constant of freestanding graphene measured in graphite
• Magnetic moments in the presence of topological defects in graphene
• Wannier-function approach to spin excitations in solids

Cited by in corpus (305)

• Dirac materials
• Dirac Fermions in Solids - from High Tc cuprates and Graphene to Topological Insulators and Weyl Semimetals
• Theory of phonon-mediated superconductivity in twisted bilayer graphene
• Electronic properties of graphene-based bilayer systems
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Novel effects of strains in graphene and other two dimensional materials
• Strong coupling phases of partially filled twisted bilayer graphene narrow bands
• Competing many-body instabilities and unconventional superconductivity in graphene
• Floquet Fractional Chern Insulator in Doped Graphene
• Dual origin of defect magnetism in graphene and its reversible switching by molecular doping
• Optimal Hubbard models for materials with nonlocal Coulomb interactions: graphene, silicene and benzene
• Two-dimensional Fröhlich interaction in transition-metal dichalcogenide monolayers: Theoretical modeling and first-principles calculations
• Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
• Chiral d-wave superconductivity in doped graphene
• Giant magnetic exchange coupling in rhombus-shaped nanographenes with zigzag periphery
• Unconventional superconductivity in nearly flat bands in twisted bilayer graphene
• Monte-Carlo study of the semimetal-insulator phase transition in monolayer graphene with realistic inter-electron interaction potential
• High-pressure synthesis of Dirac materials: layered van der Waals bonded BeN${}_4$ polymorph
• Microscopic understanding of magnetic interactions in bilayer CrI${}_3$
• Breakdown of optical phonons' splitting in two-dimensional materials
• Overdoping graphene beyond the van Hove singularity
• Observation of an anisotropic Dirac cone reshaping and ferrimagnetic spin polarization in an organic conductor
• Antiferromagnetic critical point on graphene's honeycomb lattice: A functional renormalization group approach
• Charge-transfer insulation in twisted bilayer graphene
• Quantum Embedding Theory for Strongly-correlated States in Materials
• The role of electron-electron interactions in two-dimensional Dirac fermions
• Excitation spectrum and high energy plasmons in single- and multi-layer graphene
• Instabilities of the AA-stacked graphene bilayer
• Physical origin of satellite in photoemission of doped graphene: An ab-initio GW plus cumulant study
• RESPACK: An ab initio tool for derivation of effective low-energy model of material
• Beyond extended dynamical mean-field theory: Dual boson approach to the two-dimensional extended Hubbard model
• Current developments in silicene and germanene
• Fractional topological phases and broken time reversal symmetry in strained graphene
• Internal screening and dielectric engineering in magic-angle twisted bilayer graphene
• Introducing strong correlation effects into graphene by gadolinium intercalation
• Extended dynamical mean-field study of the Hubbard model with long range interactions
• Monte-Carlo study of the electron transport properties of monolayer graphene within the tight-binding model
• Pairing with dominant triplet component and possible weak topological superconductivity in BiS${}_2$-based superconductors
• Charge Smoothening and Band Flattening due to Hartree corrections in Twisted Bilayer Graphene
• Interacting Electrons in Graphene: Fermi Velocity Renormalization and Optical Response
• Wannier Function Approach to Realistic Coulomb Interactions in Layered Materials and Heterostructures
• Parameter-free hybrid functional based on an extended Hubbard model: DFT+U+V
• Instabilities of interacting electrons on the honeycomb bilayer
• Superconductivity from Repulsive Interactions in Rhombohedral Trilayer Graphene: a Kohn-Luttinger-Like Mechanism
• Antiferromagnetism in the Hubbard Model on the Bernal-stacked Honeycomb Bilayer
• Monte-Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions
• Phase Diagram of Electron Doped Dichalcogenides
• Chiral Symmetry Breaking in Graphene
• Charge Order in the Holstein Model on a Honeycomb Lattice
• Valley Jahn-Teller effect in twisted bilayer graphene
• Interaction driven metal-insulator transition in strained graphene
• Role of direct exchange and Dzyaloshinskii-Moriya interactions in magnetic properties of graphene derivatives: C${}_2$F and C${}_2$H
• Unconventional Superconductivity in Magic-Angle Twisted Trilayer Graphene
• Ising and Gross-Neveu model in next-to-leading order
• Dynamical synchronization transition in interacting electron systems
• Many-body effects on graphene conductivity: Quantum Monte Carlo calculations
• Ab-initio calculation of the effective on-site Coulomb interaction parameters for half-metallic magnets
• Pseudospin Order in Monolayer, Bilayer, and Double-Layer Graphene
• Metals, fractional metals, and superconductivity in rhombohedral trilayer graphene
• Geometrical and topological aspects of graphene and related materials
• Fixed-point structure of low-dimensional relativistic fermion field theories: Universality classes and emergent symmetry
• Self-consistent Dual Boson approach to single-particle and collective excitations in correlated systems
• Electron correlation effects on exchange interactions and spin excitations in 2D van der Waals materials
• Superconductivity from electronic interactions and spin-orbit enhancement in bilayer and trilayer graphene
• Chiral triplet superconductivity on the graphene lattice
• Large $N$ critical exponents for the chiral Heisenberg Gross-Neveu universality class
• Magnetism and interaction-induced gap opening in graphene with vacancies or hydrogen adatoms: Quantum Monte Carlo study
• Interacting electrons on trilayer honeycomb lattices
• Chiral Symmetry Breaking and the Quantum Hall Effect in Monolayer Graphene
• Attractive electron-electron interactions from internal screening in magic angle twisted bilayer graphene
• Magnetic Structure of Hydrogen Induced Defects on Graphene
• Excitonic Instability and Pseudogap Formation in Nodal Line Semimetal ZrSiS
• Coexisting charge density wave and ferromagnetic instabilities in monolayer InSe
• Quantum Multicriticality near the Dirac-Semimetal to Band-Insulator Critical Point in Two Dimensions: A Controlled Ascent from One Dimension
• The role of real-space micromotion for bosonic and fermionic Floquet fractional Chern insulators
• Theory of unconventional quantum Hall effect in strained graphene
• Hybrid-Monte-Carlo study of competing order in the extended fermionic Hubbard model on the hexagonal lattice
• Critical (Chiral) Heisenberg Model with the Functional Renormalisation Group
• Spin-density-wave instability in graphene doped near the van Hove singularity
• The Semimetal-Mott Insulator Quantum Phase Transition of the Hubbard Model on the Honeycomb Lattice
• Twist-angle dependence of electron correlations in moiré graphene bilayers
• Chiral d-wave superconductivity on the honeycomb lattice close to the Mott state
• Metal-insulator transition and phase separation in doped AA-stacked graphene bilayers
• Phase diagram and Fermi-liquid properties of the extended Hubbard model on the honeycomb lattice
• Friedel Oscillation-Induced Energy Gap Manifested as Transport Asymmetry at Monolayer-Bilayer Graphene Boundaries
• Fermi velocity renormalization and dynamical gap generation in graphene
• Quantum Monte Carlo studies of edge magnetism in chiral graphene nanoribbons
• Competing orders and cascade of degeneracy lifting in doped Bernal bilayer graphene
• Spin-fluctuation-induced pairing in twisted bilayer graphene
• Multi-critical behavior of $Z_2\times O(2)$ Gross-Neveu-Yukawa theory in graphene
• Impurity-induced triple point fermions in twisted bilayer graphene
• Charge order and antiferromagnetism in the extended Hubbard model
• Manipulation of edge magnetism in hexagonal graphene nanoflake
• Magnetic and Kohn-Luttinger instabilities near a Van Hove singularity: monolayer versus twisted bilayer graphene
• AA-stacked bilayer graphene in an applied electric field: Tunable antiferromagnetism and coexisting exciton order parameter
• Interactions and magnetic moments near vacancies and resonant impurities in graphene
• Stability of Dirac Liquids with Strong Coulomb Interaction
• Theoretical investigation into the possibility of very large moments in Fe16N2
• Origin of the flat band in heavily Cs doped graphene
• Stopping dynamics of ions passing through correlated honeycomb clusters
• Many-body effects in twisted bilayer graphene at low twist angles
• Many-body effects in graphene beyond the Dirac model with Coulomb interaction
• The RKKY Coupling between Impurity Spins in Graphene Nanoflakes
• Antiferromagnetic states and phase separation in doped AA-stacked graphene bilayers
• Electronic properties of single-layer antimony: Tight-binding model, spin-orbit coupling and the strength of effective Coulomb interactions
• Competition of density waves and quantum multicritical behavior in Dirac materials from functional renormalization
• Random Phase Approximation for gapped systems: role of vertex corrections and applicability of the constrained random phase approximation
• Competing electronic instabilities of extended Hubbard models on the honeycomb lattice: A functional Renormalization Group calculation with high wavevector resolution
• Strength of the Effective Coulomb Interaction at Metal and Insulator Surfaces
• Turbulent hydrodynamics in strongly correlated Kagome metals
• Band renormalization of a polymer physisorbed on graphene investigated by many-body perturbation theory
• Importance of long-ranged electron-electron interactions for the magnetic phase diagram of twisted bilayer graphene
• Nematic superconductivity in magic-angle twisted bilayer graphene from atomistic modeling
• Mott multicriticality of Dirac electrons in graphene
• Quantum Monte Carlo Calculations for Carbon Nanotubes
• Coulomb interactions and screening effects in few-layer black phosphorus: a tight-binding consideration beyond the long-wavelength limit
• Instabilities on graphene's honeycomb lattice with electron-phonon interactions
• Excitonic pairing and insulating transition in two-dimensional semi-Dirac semimetals
• Magnetic Ordering, Anomalous Lifshitz Transition and Topological Grain Boundaries in Two-Dimensional Biphenylene Network
• Theory of intermolecular exchange in coupled spin-1/2 nanographenes
• Renormalization of spin excitations and Kondo effect in open shell nanographenes
• First-Principles Study of Two-Dimensional Ferroelectrics Using Self-Consistent Hubbard Parameters
• Hubbard-like Hamiltonians for interacting electrons in s, p and d orbitals
• Entanglement, excitations and correlation effects in narrow zigzag graphene nanoribbons
• Antiferromagnetism in hexagonal graphene structures: Rings vs dots
• Spin polarized nematic order, quantum valley Hall states, and field tunable topological transitions in twisted multilayer graphene systems
• Local Kekulé distortion turns twisted bilayer graphene into topological Mott insulators and superconductors
• Noncollinear magnetic phases and edge states in graphene quantum Hall bars
• Nonconventional screening of Coulomb interaction in two-dimensional semiconductors and metals: A comprehensive cRPA study of MX2 (M=Mo, W, Nb, Ta; X=S, Se, Te)
• Inherited and flatband-induced ordering in twisted graphene bilayers
• Density-matrix based determination of low-energy model Hamiltonians from ab initio wavefunctions
• Enhancement of non-local exchange near isolated band-crossings in graphene
• Engineering interaction-induced topological insulators in a $\sqrt{3}\times \sqrt{3}$ substrate-induced honeycomb superlattice
• Numerical evidence of conformal phase transition in graphene with long-range interactions
• Superconductivity induced by the inter-valley Coulomb scattering in a few layers of graphene
• Molecular Pairing in Twisted Bilayer Graphene Superconductivity
• Odd momentum pairing and superconductivity in vertical graphene heterostructures
• Phonon-mediated superconductivity in doped monolayer materials
• Quantum Monte Carlo study of static potential in graphene
• Magnetic and electronic phase crossovers in graphene nanoflakes
• Functional renormalization group for a large moiré unit cell
• Effective magnetic correlations in hole-doped graphene nanoflakes
• Substrate effects on quasiparticles and excitons in graphene nanoflakes
• Spin density wave and electron nematicity in magic-angle twisted bilayer graphene
• Phase transitions in hexagonal, graphene-like lattice sheets and nanotubes under the influence of external conditions
• Semimetal-antiferromagnetic insulator transition in graphene induced by biaxial strain
• Symmetry breaking in the double moiré superlattices of relaxed twisted bilayer graphene on hexagonal boron nitride
• d-wave superconductivity on the honeycomb bilayer
• Possible singlet and triplet superconductivity on honeycomb lattice
• Coulomb charging energy of vacancy-induced states in graphene
• Antiferromagnetism and competing charge instabilities of electrons in strained graphene from Coulomb interactions
• Single 3$d$ transition metal atoms on multi-layer graphene systems: electronic configurations, bonding mechanisms and role of the substrate
• Effective interactions in multi-band systems from constrained summations
• Rigorous screened interactions for realistic correlated electron systems
• Constrained Random Phase Approximation of the effective Coulomb interaction in lattice models of twisted bilayer graphene
• Magnetism and charge order in the honeycomb lattice
• Dynamical gap generation in graphene with frequency dependent renormalization effects
• Fermion bilinear operator critical exponents at $O(1/N^2)$ in the QED-Gross-Neveu universality class
• Optical conductivity renormalization of graphene on SrTiO${}_3$ due to resonant excitonic effects mediated by Ti 3\textit{d} orbitals
• Optically bright $p$-excitons indicating strong Coulomb coupling in transition-metal dichalcogenides
• Spontaneous antiferromagnetic order and strain effect on electronic properties of $\alpha$-graphyne
• Determinant quantum Monte Carlo for the half-filled Hubbard model with nonlocal density-density interactions
• Electron interaction, charging and screening in grain boundaries in graphene
• Low-energy effective interactions beyond the constrained random-phase approximation by the functional renormalization group
• Flat bands, electron interactions and magnetic order in magic-angle mono-trilayer graphene
• Momentum dependence of quantum critical Dirac systems
• The Kohn-Luttinger effect and anomalous pairing in new superconducting systems and graphene
• Avoiding Ergodicity Problems in Lattice Discretizations of the Hubbard Model
• Magnetic Catalysis in Graphene Effective Field Theory
• Quantum Spin Hall Effect in Twisted Bilayer Graphene
• Engineering SYK interactions in disordered graphene flakes under realistic experimental conditions
• Many-body calculations for periodic materials via quantum machine learning
• Spin-caloritronic transport in hexagonal graphene nanoflakes
• Layer Antiferromagnetic State in Bilayer Graphene : A First-Principle Investigation
• Interaction-induced enhancement of $g$-factor in graphene
• Effective Field Theory of Interacting π-Electrons
• Magnetic field induced inequivalent vortex zero modes in strained graphene
• Short range Coulomb correlations render massive Dirac fermions massless
• Symmetry and optical selection rules in graphene quantum dots
• The Kohn-Luttinger superconductivity in idealized doped graphene
• Ab initio Derivation of Low-Energy Hamiltonians for Systems with Strong Spin-Orbit Interaction and Its Application to Ca5Ir3O12
• Electronic Instabilities of the AA-Honeycomb Bilayer
• Gross-Neveu-Heisenberg criticality from competing nematic and antiferromagnetic orders in bilayer graphene
• Electronic instabilities of the extended Hubbard model on the honeycomb lattice from functional renormalization
• Competing electronic orders on a heavily doped honeycomb lattice with enhanced exchange coupling
• Lattice Field Theory Study of Magnetic Catalysis in Graphene
• Modeling of gate controlled Kondo effect at carbon point-defects in graphene
• Superconductivity and magnetism in the surface states of ABC-stacked multilayer graphene
• Competing charge-density-wave, magnetic and topological ground states at and near Dirac points in graphene in axial magnetic fields
• Exchange interaction, disorder, and stacking faults in rhombohedral graphene multilayers
• Coulomb Engineering of two-dimensional Mott materials
• The role of frequency dependence in dynamical gap generation in graphene
• Stabilization of Topological Insulator Emerging from Electron Correlations on Honeycomb Lattice and Its Possible Relevance in Twisted Bilayer Graphene
• Exact ground states of correlated electrons on pentagon chains
• Two-dimensional bipolar junction transistors
• A density of states approach to the hexagonal Hubbard model at finite density
• Valley and spin polarized broken symmetry states of interacting electrons in gated MoS${}_2$ quantum dots
• Spin polarization and g-factor enhancement in graphene nanoribbons in magnetic field
• Effects of short-range electron-electron interactions in doped graphene
• Spin Conductance of Diffusive Graphene Nanoribbons: a Probe of Zigzag Edge Magnetization
• Investigation of the effective interactions for the Emery model by the constrained random-phase approximation and constrained functional renormalization group
• Spin and Charge Fluctuation Induced Pairing in ABCB Tetralayer Graphene
• Electron phonon coupling in the topological heavy fermion model of twisted bilayer graphene
• First-principles multiscale modelling of charged adsorbates on doped graphene
• Spin-Orbital Density Wave and a Mott Insulator in a Two-Orbital Hubbard Model on a Honeycomb Lattice
• A Hartree-Fock study of the $\nu =0$ quantum Hall state of monolayer graphene with short range interactions
• Microscopic description of insulator-metal transition in high-pressure oxygen
• A reexamination of the effective fine structure constant of graphene, as measured in graphite
• Antiferromagnetic ordering and excitonic pairing in the AA-stacked bilayer graphene
• Electronic Structure and Kohn-Luttinger Superconductivity of Heavily-Doped Single-Layer Graphene
• Breakdown of topological protection due to non-magnetic edge disorder in two-dimensional materials in the Quantum Spin Hall phase
• Antiferromagnetism and chiral d-wave superconductivity from an effective $t-J-D$ model for twisted bilayer graphene
• Model-mapped random phase approximation to evaluate superconductivity in the fluctuation exchange approximation from first principles
• Schur complement solver for Quantum Monte-Carlo simulations of strongly interacting fermions
• Applications of lattice QCD techniques for condensed matter systems
• Critical exponent $\eta$ at $O(1/N^3)$ in the chiral XY model using the large $N$ conformal bootstrap
• Interaction created effective flat bands in conducting polymers
• Equations of motion method for triplet excitation operators in graphene
• Ground-state properties of the narrowest zigzag graphene nanoribbon from quantum Monte Carlo and comparison with density functional theory
• Charged Topological Solitons in Zigzag Graphene Nanoribbons
• Inter-electron interactions and the RKKY potential between H adatoms in graphene
• A Hybrid-Monte-Carlo study of monolayer graphene with partially screened Coulomb interactions at finite spin density
• From local spin nematicity to altermagnets: Footprints of band topology
• Electromagnetic modes from Stoner enhancement
• Graphane with carbon dimer defects: Robust in-gap states and a scalable two-dimensional platform for quantum computation
• Nodal pair density waves from a quarter-metal in crystalline graphene multilayers
• Interacting Valley Chern Insulator and its Topological Imprint on Moiré Superconductors
• Kekulé superconductivity and antiferromagnetism on the graphene lattice
• Suppression of topological Mott-Hubbard phases by multiple charge orders in the honeycomb extended Hubbard model
• Phase diagram of the Kohn-Luttinger superconducting state for bilayer graphene
• Interface tool from Wannier90 to RESPACK: wan2respack
• Exact ferromagnetic ground state of pentagon chains
• Strong coupling approach to Mott transition of massless and massive Dirac fermions on honeycomb lattice
• Charge distribution and spin textures in magic-angle twisted bilayer graphene
• Gate-induced Gap in Bilayer Graphene Suppressed by Coulomb Repulsion
• Inducing a metal-insulator transition in disordered interacting Dirac fermion systems via an external magnetic field
• Formation mechanism of bound states in graphene point contacts
• Competing magnetic states on the surface of multilayer ABC-stacked graphene
• Generalized dynamical mean-field theory of two-subalttice systems with non-local interactions and its application to study charge and spin correlations in graphene
• Quantum Monte Carlo simulation of topological phase transitions
• Kohn-Luttinger superconductivity in monolayer and bilayer semimetals with the Dirac spectrum
• The role of impurities on the optical properties of rectangular graphene flakes
• Switchable Electric Dipole from Polaron Localization in Dielectric Crystals
• Ab-initio calculation of the Hubbard $U$ and Hund exchange $J$ in local moment magnets: The case of Mn-based full Heusler compounds
• Electronic correlations in epitaxial graphene: Mott states proximitized to a relativistic electron gas
• Supercell Wannier functions and a faithful low-energy model for Bernal bilayer graphene
• Ordered-Current State of Electrons in Bilayer Graphene
• Short vs. long range exchange interactions in twisted bilayer graphene
• The importance of sigma bonding electrons for the accurate description of electron correlation in graphene
• Anomalous superconductivity and superfluidity in repulsive fermion systems
• Flat bands and superconductivity induced by periodic strain in monolayer graphene
• Magnetic, charge, and transport properties of graphene nanoflakes
• Strongly Interacting Phases in Twisted Bilayer Graphene at the Magic Angle
• Pentagon chain in external fields
• Quantum chemical insights into hexaboride electronic structures: correlations within the boron $p$-orbital subsystem
• Collective excitations and the nature of Mott transition in undoped gapped graphene
• Strength of the Hubbard potential and its modification by breathing distortion in ${\text{BaBiO}}_3$
• Spin-density wave state in simple hexagonal graphite
• Kekulé valence bond order in the Hubbard model on the honeycomb lattice with possible lattice distortions for graphene
• Coexistence of nematic superconductivity and spin density wave in magic-angle twisted bilayer graphene
• Reconciling monolayer and bilayer $J_{\mathrm{eff}}=1/2$ square lattices in hybrid oxide superlattice
• Local bottom-up effective theory of non-local electronic interactions
• Effects of correlations on honeycomb lattice in ionic-Hubbard Model
• Ultra-Fast All-Electrical Universal Nano-Qubits
• Semiclassical theory for plasmons in two-dimensional inhomogeneous media
• Correlation Effects in Orbital Magnetism
• Influence of hopping selfenergy and quasiparticle degradation on the antiferromagnetic ordering in the bilayer honeycomb Hubbard model
• Critical Charge in Gapped Graphene: the role of the screening of the interaction potential by $\sigma$-orbitals
• Correlated phases in rhombohedral multilayer graphene
• Hybrid Monte-Carlo simulation of interacting tight-binding model of graphene
• Exploring Novel Quantum Criticality in Strained Graphene
• Anisotropic super-spin at the end of a carbon nanotube
• Emergent quantum matter in graphene nanoribbons
• Hedgehog spin texture and competing orders associated with strains on the surface of a topological crystalline insulator
• Static treatment of dynamic interactions in the single-orbital Anderson impurity model
• Single Particle Spectrum of Doped ${\mathrm{C}}_{20}{\mathrm{H}}_{12}$-Perylene
• Hydrodynamics of particle-hole symmetric systems: a quantum Monte Carlo study
• Dynamics of optically injected currents in carbon nanotubes
• Half vortex and fractional electrical charge in two dimensions
• Collective spin oscillations in a magnetized graphene sheet
• Quantum phase transitions on the hexagonal lattice
• DFT+U+V Study of Magnetic Ordering in Single-Layer Pentahexoctite: Implications for Magnetic Device Platforms
• Link auxiliary field method in the Extended Hubbard model
• Mean-field analysis of a Hubbard interaction on Bernal Bilayer Graphene
• Lorentzian quantum wells in graphene: the role of shape invariance in zero-energy states trapping
• Real-Space Switching of Local Moments Driven by Quantum Geometry in Correlated Graphene Heterostructures
• On the semimetal-insulator transition and Lifshitz transition in simulations of mono-layer graphene
• Excitonic pairing of two-dimensional Dirac fermions near the antiferromagnetic quantum critical point
• Designing a polymerized phenalenyl tessellation molecule to realize a super-honeycomb antiferromagnetic S = 3/2 spin system
• Rientrant metallicity in the Hubbard model: the case of honeycomb nanoribbons
• Effect of vacancies on magnetic correlations and conductance in graphene nanoflakes with realistic Coulomb interaction
• Interacting quantum Hall states in a finite graphene flake and at finite temperature
• Flat-band projected versus fully atomistic twisted bilayer graphene
• Bridging the gap between numerics and experiment in free standing graphene
• The Relativistic one dimensional Coulomb problem and Relativistic PIMC method
• Applied electric and magnetic field effects on the bandgap formation and antiferromagnetic ordering in AA-stacked Bilayer Graphene
• Phase diagram of the SU$(3)$ Fermi-Hubbard model with next-neighbor interactions
• Disorder Suppression of Charge Density Waves in the Honeycomb Holstein Model
• Magnetic Ordering in Moiré Graphene Multilayers from a Continuum Hartree+U Approach
• Spin bond order driven by extended repulsive interactions in doped graphene
• Coulomb interaction and charge neutrality: Pariser, Parr and Pople Hamiltonian versus the Extended Hubbard Hamiltonian
• Quantum simulator of extended bipartite Hubbard model with broken sublattice symmetry: magnetism, correlations, and phase transitions
• Dynamical Cluster Approximation Study of Electron Localization in the Extended Hubbard Model
• Local multiplet formation around a single vacancy in graphene: an effective Anderson model analysis based on the block-Lanczos DMRG method
• Persistent Haldane Phase in Carbon Tetris Chains