Theory of phonon-mediated superconductivity in twisted bilayer graphene

Abstract

We present a theory of phonon-mediated superconductivity in near magic angle twisted bilayer graphene. Using a microscopic model for phonon coupling to moiré band electrons, we find that phonons generate attractive interactions in both $s$ and $d$ wave pairing channels and that the attraction is strong enough to explain the experimental superconducting transition temperatures. Before including Coulomb repulsion, the $s$-wave channel is more favorable; however, on-site Coulomb repulsion can suppress $s$-wave pairing relative to $d$-wave. The pair amplitude varies spatially with the moiré period, and is identical in the two layers in the $s$-wave channel but phase shifted by $\pi$ in the $d$-wave channel. We discuss experiments that can distinguish the two pairing states.

arXiv comment5+3 pages, 4+1 figures

References in corpus (33)

• 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
• Hofstadter's butterfly in moire superlattices: A fractal quantum Hall effect
• Massive Dirac fermions and Hofstadter butterfly in a van der Waals heterostructure
• Graphene bilayer with a twist: electronic structure
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• Flat Bands in Slightly Twisted Bilayer Graphene
• Moiré excitons: from programmable quantum emitter arrays to spin-orbit coupled artificial lattices
• Tunable Moiré Bands and Strong Correlations in Small-Twist-Angle Bilayer Graphene
• Origin of Mott insulating behavior and superconductivity in twisted bilayer graphene
• Maximally-localized Wannier orbitals and the extended Hubbard model for the twisted bilayer graphene
• Strength of effective Coulomb interactions in graphene and graphite
• Topological Superconductivity in Twisted Multilayer Graphene
• Topological Exciton Bands in Moiré Heterojunctions
• Symmetry, maximally localized Wannier states, and low energy model for the twisted bilayer graphene narrow bands
• Numerical studies of confined states in rotated bilayers of graphene
• Theory of optical absorption by interlayer excitons in transition metal dichalcogenide heterobilayers
• Model for Metal-Insulator Transition in Graphene Superlattices and Beyond
• Chiral SDW and d + id superconductivity in the magic-angle twisted bilayer-graphene
• Ab-Initio Theory of Moiré Superlattice Bands in Layered Two-Dimensional Materials
• Phases of a phenomenological model of twisted bilayer graphene
• Phonon dispersions and vibrational properties of monolayer, bilayer, and trilayer graphene
• Strained graphene: tight-binding and density functional calculations
• Fractional fractal quantum Hall effect in graphene superlattices
• Electronic Structure Theory of Weakly Interacting Bilayers
• Mean-field theory for superconductivity in twisted bilayer graphene
• Doped Twisted Bilayer Graphene near Magic Angles: Proximity to Wigner Crystallization not Mott Insulation
• Electrically controllable magnetism in twisted bilayer graphene
• Interplay of Coulomb and electron-phonon interactions in graphene
• Migdal's theorem and electron-phonon vertex corrections in Dirac materials
• Theory of Emergent Josephson Lattice in Neutral Twisted Bilayer Graphene (Moiŕe is Different)

Cited by in corpus (316)

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• Graphene Bilayers with a Twist
• Origin of Magic Angles in Twisted Bilayer Graphene
• Topological insulators in twisted transition metal dichalcogenide homobilayers
• All "Magic Angles" Are "Stable" Topological
• Decoupling superconductivity and correlated insulators in twisted bilayer graphene
• Phonon scattering dominated electron transport in twisted bilayer graphene
• Twisted Bilayer Graphene: A Phonon Driven Superconductor
• Failure of Nielsen-Ninomiya theorem and fragile topology in two-dimensional systems with space-time inversion symmetry: application to twisted bilayer graphene at magic angle
• Evidence for unconventional superconductivity in twisted bilayer graphene
• Superconductivity without insulating states in twisted bilayer graphene stabilized by monolayer WSe${}_2$
• Band Structure of Twisted Bilayer Graphene: Emergent Symmetries, Commensurate Approximants and Wannier Obstructions
• Electrostatic effects, band distortions and superconductivity in twisted graphene bilayers
• Topology-Bounded Superfluid Weight In Twisted Bilayer Graphene
• MATBG as Topological Heavy Fermion: I. Exact Mapping and Correlated Insulators
• Magic Angle Hierarchy in Twisted Graphene Multilayers
• Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
• The pseudo-Landau-level representation of twisted bilayer graphene: band topology and the implications on the correlated insulating phase
• Designing Flat Band by Strain
• Tuning electron correlation in magic-angle twisted bilayer graphene using Coulomb screening
• Quantum valley Hall effect, orbital magnetism, and anomalous Hall effect in twisted multilayer graphene systems
• Twisted Bilayer Graphene IV. Exact Insulator Ground States and Phase Diagram
• Phonon-induced giant linear-in-$T$ resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity
• Superfluid weight and Berezinskii-Kosterlitz-Thouless transition temperature of twisted bilayer graphene
• Twisted Bilayer Graphene Aligned with Hexagonal Boron Nitride: Anomalous Hall Effect and a Lattice Model
• Theory of correlated insulating behaviour and spin-triplet superconductivity in twisted double bilayer graphene
• Flatbands in twisted double bilayer graphene
• Band structure and topological property of twisted double bilayer graphenes
• Geometric and conventional contribution to superfluid weight in twisted bilayer graphene
• Twisted bilayer graphene III. Interacting Hamiltonian and exact symmetries
• Magic of high order van Hove singularity
• Correlated insulating phases of twisted bilayer graphene at commensurate filling fractions: a Hartree-Fock study
• Superconductivity in twisted bilayer WSe${}_2$
• Twisted bilayer graphene. II. Stable symmetry anomaly
• Competing zero-field Chern insulators in Superconducting Twisted Bilayer Graphene
• Twisted Bilayer Graphene V: Exact Analytic Many-Body Excitations in Twisted Bilayer Graphene Coulomb Hamiltonians: Charge Gap, Goldstone Modes and Absence of Cooper Pairing
• Strong electron-phonon coupling, electron-hole asymmetry, and nonadiabaticity in magic-angle twisted bilayer graphene
• Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene
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• A Microscopic Perspective on Moiré Materials
• Moiré phonons in the twisted bilayer graphene
• Twisted bilayer graphene I. Matrix elements, approximations, perturbation theory and a $k\cdot p$ 2-Band model
• Continuum model for relaxed twisted bilayer graphenes and moiré electron-phonon interaction
• Flat bands and perfect metal in trilayer moiré graphene
• Cold atoms in twisted bilayer optical potentials
• Coulomb interaction, phonons, and superconductivity in twisted bilayer graphene
• Origin and Evolution of Ultraflatbands in Twisted Bilayer Transition Metal Dichalcogenides: Realization of Triangular Quantum Dot Array
• Chiral Approximation to Twisted Bilayer Graphene: Exact Intra-Valley Inversion Symmetry, Nodal Structure and Implications for Higher Magic Angles
• Flat Bands in Twisted Bilayers of Two-Dimensional Polar Materials
• The Landau Level of Fragile Topology
• Theoretical prediction of a low-energy Stone-Wales graphene with intrinsic type-III Dirac-cone
• Internal screening and dielectric engineering in magic-angle twisted bilayer graphene
• Is magic-angle twisted bilayer graphene near a quantum critical point?
• Global Phase Diagram of the Normal State of Twisted Bilayer Graphene
• Spin-Orbit-Induced Topological Flat Bands in Line and Split Graphs of Bipartite Lattices
• Nematicity with a twist: rotational symmetry breaking in a moiré superlattice
• Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene
• Symmetry breaking and skyrmionic transport in twisted bilayer graphene
• Acoustic-phonon-mediated superconductivity in rhombohedral trilayer graphene
• Josephson Diode Effect Induced by Valley Polarization in Twisted Bilayer Graphene
• Topological flat bands in twisted trilayer graphene
• Flat Chern Band From Twisted Bilayer MnBi${}_2$Te${}_4$
• Landau levels in twisted bilayer graphene and semiclassical orbits
• Coulomb screening and thermodynamic measurements in magic-angle twisted trilayer graphene
• Pairing symmetry and spontaneous vortex-antivortex lattice in superconducting twisted-bilayer graphene: Bogoliubov-de Gennes approach
• Cascades between light and heavy fermions in the normal state of magic angle twisted bilayer graphene
• Simulating twistronics without a twist
• Quantum Metric and Correlated States in Two-dimensional Systems
• Giant nonlinear Hall effect in strained twisted bilayer graphene
• Exact Diagonalization for Magic-Angle Twisted Bilayer Graphene
• Acoustic-phonon-mediated superconductivity in Bernal bilayer graphene
• Heavy fermion representation for twisted bilayer graphene systems
• Kondo Lattice Model of Magic-Angle Twisted-Bilayer Graphene: Hund's Rule, Local-Moment Fluctuations, and Low-Energy Effective Theory
• Strong Inter-valley Electron-Phonon Coupling in Magic-Angle Twisted Bilayer Graphene
• In-plane critical magnetic fields in magic-angle twisted trilayer graphene
• Topological chiral superconductivity with spontaneous vortices and supercurrent in twisted bilayer graphene
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• Spin-twisted Optical Lattices: Tunable Flat Bands and Larkin-Ovchinnikov Superfluids
• Unconventional Superconductivity in Magic-Angle Twisted Trilayer Graphene
• Light-matter coupling and quantum geometry in moiré materials
• Pairing in magic-angle twisted bilayer graphene: role of phonon and plasmon umklapp
• Spin-triplet $f$-wave pairing in twisted bilayer graphene near 1/4 filling
• Theory of correlated insulators and superconductivity in twisted bilayer graphene
• Topological and nematic superconductivity mediated by ferro-SU(4) fluctuations in twisted bilayer graphene
• Attractive electron-electron interactions from internal screening in magic angle twisted bilayer graphene
• General continuum model for twisted bilayer graphene and arbitrary smooth deformations
• A moiré superlattice on the surface of a topological insulator
• Nonlinear anomalous Hall effects probe topological phase-transitions in twisted double bilayer graphene
• Coupled Wire description of the Correlated Physics in Twisted Bilayer Graphene
• Pseudo-magnetic fields, particle-hole asymmetry, and microscopic effective continuum Hamitonians of twisted bilayer graphene
• Dichotomy of Electron-Phonon Coupling in Graphene Moiré Flat Bands
• T-carbon: experiments, properties, derivatives and potential applications
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• Ferromagnetism and superconductivity in twisted double bilayer graphene
• Twist-angle dependence of electron correlations in moiré graphene bilayers
• Functional Renormalization Group Study of Superconductivity in Rhombohedral Trilayer Graphene
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• Superconductivity from collective excitations in magic angle twisted bilayer graphene
• Singlet superconductivity enhanced by charge order in nested twisted bilayer graphene Fermi surfaces
• Competition of electron-phonon mediated superconductivity and Stoner magnetism on a flat band
• Pairing in graphene-based moiré superlattices
• Symmetric Kondo Lattice States in Doped Strained Twisted Bilayer Graphene
• Floquet-Engineered Topological Flat Bands in Irradiated Twisted Bilayer Graphene
• Dynamical correlations and order in magic-angle twisted bilayer graphene
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• Identification of superconducting pairing symmetry in twisted bilayer graphene using in-plane magnetic field and strain
• Effective Floquet Hamiltonians for periodically-driven twisted bilayer graphene
• Correlated metals and unconventional superconductivity in rhombohedral trilayer graphene: A renormalization group analysis
• Quantum Geometry and Stability of Moiré Flatband Ferromagnetism
• Floquet engineering of interlayer couplings: Tuning the magic angle of twisted bilayer graphene at the exit of a waveguide
• Electrical band flattening, valley flux, and superconductivity in twisted trilayer graphene
• Acoustic-phonon-mediated superconductivity in moiréless graphene multilayers
• Quantum-metric-enabled exciton condensate in double twisted bilayer graphene
• TSTG I: Single-Particle and Many-Body Hamiltonians and Hidden Non-local Symmetries of Trilayer Moiré Systems with and without Displacement Field
• Flat-band ferromagnetism in twisted bilayer graphene
• Magnetic skyrmion lattices in a novel two-dimensional twisted bilayer magnet
• Floquet-engineering topological transitions in a twisted transition metal dichalcogenide homobilayer
• Magic-Angle Twisted Symmetric Trilayer Graphene as Topological Heavy Fermion Problem
• Quantum Geometric Contributions to the BKT Transition: Beyond Mean Field Theory
• Chiral Phonons in Moiré Superlattices
• Hidden Wave Function of Twisted Bilayer Graphene: Flat Band as a Landau Level
• Emergence of broken-symmetry states at half-integer band fillings in twisted bilayer graphene
• Kondo Phase in Twisted Bilayer Graphene -- A Unified Theory for Distinct Experiments
• Twistronics in graphene-based van der Waals structures
• Nonlinear Hall Effects in Strained Twisted Bilayer WSe${}_2$
• Gauge phonon dominated resistivity in twisted bilayer graphene near magic angle
• Microscopic pairing mechanism, order parameter, and disorder sensitivity in moiré superlattices: Applications to twisted double-bilayer graphene
• Twistronics versus straintronics in twisted bilayers of graphene and transition metal dichalcogenides
• Superconductor versus insulator in twisted bilayer graphene
• Twisted bilayer graphene in a parallel magnetic field
• Nematic superconductivity in magic-angle twisted bilayer graphene from atomistic modeling
• Isospin Pomeranchuk effect and the entropy of collective excitations in twisted bilayer graphene
• Intravalley spin-polarized superconductivity in rhombohedral tetralayer graphene
• Nodal band-off-diagonal superconductivity in twisted graphene superlattices
• Measuring Phonon Dispersion and Electron-Phason Coupling in Twisted Bilayer Graphene with a Cryogenic Quantum Twisting Microscope
• WKB estimate of bilayer graphene's magic twist angles
• Does filling-dependent band renormalization aid pairing in twisted bilayer graphene?
• TBG as Topological Heavy Fermion: II. Analytical approximations of the model parameters
• Correlation-induced triplet pairing superconductivity in graphene-based moiré systems
• Symmetry of superconducting correlations in displaced bilayers of graphene
• Topological superconductivity, ferromagnetism, and valley-polarized phases in moire systems: Renormalization group analysis for twisted double bilayer graphene
• TSTG II: Projected Hartree-Fock Study of Twisted Symmetric Trilayer Graphene
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• Massive Dirac fermions in moiré superlattices: a route towards topological flat minibands
• Degradation of phonons in disordered moiré superlattices
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• Symmetry Origin of Lattice Vibration Modes in Twisted Multilayer Graphene: Phasons vs Moiré Phonons
• Critical role of device geometry for the phase diagram of twisted bilayer graphene
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• Charge 4e superconductivity and chiral metal in the $45^{\circ }$-twisted bilayer cuprates and similar bilayers
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• Superconductivity induced by the inter-valley Coulomb scattering in a few layers of graphene
• Current-induced reversal of anomalous Hall conductance in twisted bilayer graphene
• Bistritzer-MacDonald dynamics in twisted bilayer graphene
• Electric-field-tunable electronic nematic order in twisted double-bilayer graphene
• Phonon-mediated superconductivity in doped monolayer materials
• Phonon scattering induced carrier resistivity in twisted double bilayer graphene
• Engineering flat bands in twisted-bilayer graphene away from the magic angle with chiral optical cavities
• Defect-induced magnetism and Yu-Shiba-Rusinov states in twisted bilayer graphene
• Magic angles in twisted bilayer graphene near commensuration: Towards a hypermagic regime
• Spin density wave and electron nematicity in magic-angle twisted bilayer graphene
• Low-energy moiré phonons in twisted bilayer van der Waals heterostructures
• 3/2 magic-angle quantization rule of flat bands in twisted bilayer graphene and relationship with the Quantum Hall effect
• The Electron-Phonon Coupling Constant for Single-Layer Graphene on Metal Substrates Determined from He Atom Scattering
• Enhancement of the electron-phonon scattering induced by intrinsic surface plasmon-phonon polaritons
• Evolution of Superconductivity in Twisted Graphene Multilayers
• Harmonic Fingerprint of Unconventional Superconductivity in Twisted Bilayer Graphene
• Euler Obstructed Cooper Pairing in Twisted Bilayer Graphene: Nematic Nodal Superconductivity and Bounded Superfluid Weight
• Constrained Random Phase Approximation of the effective Coulomb interaction in lattice models of twisted bilayer graphene
• Flat band transport and Josephson effect through a finite-size sawtooth lattice
• An atomistic insight into moiré reconstruction in Twisted Bilayer Graphene beyond the magic angle
• ${\phi }_0$-Josephson junction in twisted bilayer graphene induced by a valley-polarized state
• Double flat bands in kagome twisted bilayers
• Magnetism and charge order in the honeycomb lattice
• Symmetry constraints on superconductivity in twisted bilayer graphene: Fractional vortices, $4e$ condensates or non-unitary pairing
• Geometric Induction in Chiral Superconductors
• Raman spectra of twisted bilayer graphene close to the magic angle
• Electron-phonon coupling and competing Kekulé orders in twisted bilayer graphene
• Moire Band Structures of the Double twisted Few Layer Graphene
• High transmission in twisted bilayer graphene with angle disorder
• Lattice distortions, moiré phonons, and relaxed electronic band structures in magic-angle twisted bilayer graphene
• Pseudospin Paramagnons and the Superconducting Dome in Magic Angle Twisted Bilayer Graphene
• $\text{Ab initio}$ four-band Wannier tight-binding model for generic twisted graphene systems
• Time-reversal versus chiral symmetry breaking in twisted bilayer graphene
• High-Angular-Momentum Topological Superconductivity in the Largest-Angle Twisted Homo-bilayer Systems
• Optical Manipulation of Domains in Chiral Topological Superconductors
• Spin-triplet superconductivity from inter-valley Goldstone modes in magic-angle graphene
• Emergence of Flat-Band Magnetism and Half-Metallicity in Twisted Bilayer Graphene
• Moiré phonons in graphene/hexagonal boron nitride moiré superlattice
• Electron-K-Phonon Interaction In Twisted Bilayer Graphene
• Tunable electron-phonon interactions in long-period superlattices
• Trions in Twisted Bilayer Graphene
• Metal-Insulator Transition with Charge Fractionalization
• Magic-angle Twisted Bilayer Systems with Quadratic-Band-Touching: Exactly Flat Bands with High-Chern Number
• Superconductivity in twisted WSe${}_2$ from topology-induced quantum fluctuations
• Observation of superconductivity in bilayer graphene/hexagonal boron nitride superlattices
• Enhanced correlations and superconductivity in weakly interacting partially flat band systems: a determinantal quantum Monte Carlo study
• Chiral limits and effect of light on the Hofstadter butterfly in twisted bilayer graphene
• The strong modulation limit of excitons and trions in moiré materials
• Kondo effect in twisted bilayer graphene
• Superconducting Orbital Magnetoelectric Effect and its Evolution across the Superconductivity Normal Metal Phase Transition
• Geometric superfluid weight of composite bands in multiorbital superconductors
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics
• Phase diagram and orbital Chern insulator in twisted double bilayer graphene
• Flat-band optical phonons in twisted bilayer graphene
• Superconductivity and magnetism in the surface states of ABC-stacked multilayer graphene
• Prominent Cooper Pairing Away From the Fermi Level and its Spectroscopic Signature in Twisted Bilayer Graphene
• Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe${}_2$
• Quantum Hall Superconductivity from Moir{é} Landau Levels
• Magnetic phases from competing Hubbard and extended Coulomb interactions in twisted bilayer graphene
• Electron-phonon coupling in a magic-angle twisted-bilayer graphene device
• Theory of plasmonic edge states in chiral bilayer systems
• Topological Mixed Valence Model for Twisted Bilayer Graphene
• Doubled Moiré Flat Bands in Double-twisted Few Layer Graphite
• Nonlinear intensity dependence of photogalvanics and photoconductance induced by terahertz laser radiation in twisted bilayer graphene close to magic angle
• Moiré flat Chern bands and correlated quantum anomalous Hall states generated by spin-orbit couplings in twisted homobilayer MoS${}_2$
• Josephson effect in graphene bilayers with adjustable relative displacement
• Moiré Flat Bands of Twisted Few-layer Graphite
• Three-dimensional Moiré Crystal
• Interlayer hybridization in graphene quasicrystal and other bilayer graphene systems
• Optical imprinting of superlattices in two-dimensional materials
• Unconventional superconductivity with preformed pairs in twisted bilayer graphene
• A primer on twistronics: A massless Dirac fermion's journey to moiré patterns and flat bands in twisted bilayer graphene
• Electron phonon coupling in the topological heavy fermion model of twisted bilayer graphene
• Resonating Valence Bond States in an Electron-Phonon System
• General scatterings and electronic states in the quantum-wire network of moiré systems
• Spin liquid in twisted homobilayers group-VI gichalcogenides
• Towards holographic flat bands
• Angle-dependent electron confinement in graphene moiré superlattices
• Quantifying the charge carrier interaction in metallic twisted graphene superlattices
• Universal suppression of superfluid weight by disorder independent of quantum geometry and band dispersion
• High-$T_{\text{C}}$ Superconductivity Originating from Interlayer Coulomb Coupling in Gate-Charged Twisted Bilayer Graphene Moir$\acute{e}$ Superlattices
• Low-energy optical sum-rule in moiré graphene
• Topological flat bands, valley polarization, and interband superconductivity in magic-angle twisted bilayer graphene with proximitized spin-orbit couplings
• Moiré optical phonons dancing with heavy electrons in magic-angle twisted bilayer graphene
• Charge-Order on the Triangular Lattice: A Mean-Field Study for the Lattice $S=1/2$ Fermionic Gas
• Superconductivity in twisted multilayer graphene: a smoking gun in recent condensed matter physics
• Topological heavy fermions in magnetic field
• Nematic insulator at charge neutrality in twisted bilayer graphene
• Inherited topological superconductivity in two-dimensional Dirac semimetals
• Electrically tunable correlated domain wall network in twisted bilayer graphene
• Proximity-driven ferromagnetism and superconductivity in the triangular Rashba-Hubbard model
• Giant thermopower and power factor in magic angle twisted bilayer graphene at low temperature
• Ising superconductivity induced from spin-selective valley symmetry breaking in twisted trilayer graphene
• Nematic versus Kekulé phases in twisted bilayer graphene under hydrostatic pressure
• Doping fingerprints of spin and lattice fluctuations in moiré superlattice systems
• Quantum phases of dipolar bosons in multilayer optical lattice
• Transport signatures of Van Hove singularities in mesoscopic twisted bilayer graphene
• Symmetric Wannier states and tight-binding model for quantum spin Hall bands in AB-stacked MoTe${}_2$/WSe${}_2$
• Moire superconductivity
• Theory of phonon spectroscopy with the quantum twisting microscope
• General Electronic Structure Calculation Method for Twisted Systems
• On the nature of the correlated insulator states in twisted bilayer graphene
• Flat-band ferromagnetism and spin waves in the Haldane-Hubbard model
• Correlated Insulating States and Transport Signature of Superconductivity in Twisted Trilayer Graphene Moiré of Moiré Superlattices
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• A Hybrid Quantum-Classical Method for Electron-Phonon Systems
• Acoustic phonon contribution to the resistivity of twisted bilayer graphene
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• Atomistic theory of moiré Hofstadter's butterfly in magic-angle graphene
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• Tunneling in an anisotropic cubic Dirac semi-metal
• Band manipulation and spin texture in interacting moiré helical edges
• Emergent flat band lattices in spatially periodic magnetic fields
• Spontaneous symmetry breaking in a honeycomb lattice subject to a periodic potential
• Stacking sensitive topological phases in a bilayer Kane-Mele-Hubbard model at quarter filling
• Kekulé valence bond order in the honeycomb lattice optical Su-Schrieffer-Heeger Model and its relevance to Graphene
• Probing the wavefunctions of correlated states in magic angle graphene
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• Ab-initio study of the energy competition between Γand K valleys in bilayer transition metal dichalcogenides
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• Coulomb-driven band unflattening suppresses $K$-phonon pairing in moiré graphene
• Phonon Linewidths in Twisted Bilayer Graphene near Magic Angle
• Preformed Cooper pairs in flat-band semimetals
• Tuning monolayer superconductivity in twisted NbSe${}_2$ graphene heterostructures
• Floquet Hofstadter butterfly in trilayer graphene with a twisted top layer
• The kinetic theory of ultra-subsonic fermion systems and applications to flat band magic angle twisted bilayer graphene
• Momentum-resolved spectroscopy of superconductivity with the quantum twisting microscope
• Network of chiral one-dimensional channels and localized states emerging in a moiré system
• Topological phases, van Hove singularities, and spin texture in magic-angle twisted bilayer graphene in the presence of proximity-induced spin-orbit couplings
• Geometric inhibition of superflow in single-layer graphene suggests a staggered-flux superconductivity in bilayer and trilayer graphene
• Mean-field Modelling of Moiré Materials: A User's Guide with Selected Applications to Twisted Bilayer Graphene
• Nematicity Arising from a Chiral Superconducting Ground State in Magic-Angle Twisted Bilayer Graphene under In-Plane Magnetic Fields
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• $SU(N)$ spin-phonon simulations of Floquet dynamics in spin $S>1/2$ Mott insulators
• Microscopic theory for electron-phonon coupling in twisted bilayer graphene
• Particle-hole asymmetric phases in doped twisted bilayer graphene
• Kolmogorov-Crespi Potential For Multilayer Transition Metal Dichalcogenides: Capturing Structural Transformations In Moiré Superlattices
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