Towards holographic flat bands
arXiv:2103.01690 · doi:10.1007/JHEP05(2021)123
Abstract
Motivated by the phenomenology in the condensed-matter flat-band Dirac systems, we here construct a holographic model that imprints the symmetry breaking pattern of a rather simple Dirac fermion model at zero chemical potential.In the bulk we explicitly include the backreaction to the corresponding Lifshitz geometry and compute the dynamical critical exponent. Most importantly, we find that such a geometry is unstable towards a nematic phase, exhibiting an anomalous Hall effect and featuring a Drude-like shift of its spectral weight. Our findings should motivate further studies of the quantum phases emerging from such holographic models.
arXiv comment20 pages, 8 figures, v2: JHEP version
References in corpus (91)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Tuning superconductivity in twisted bilayer graphene
- Building an AdS/CFT superconductor
- Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene
- Lectures on holographic methods for condensed matter physics
- Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
- Intrinsic quantized anomalous Hall effect in a moiré heterostructure
- Holographic Superconductors
- Magic Angle Spectroscopy
- Graphene Bilayers with a Twist
- Origin of Magic Angles in Twisted Bilayer Graphene
- Tunable Correlated Chern Insulator and Ferromagnetism in Trilayer Graphene/Boron Nitride Moiré Superlattice
- Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle
- Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
- Holographic c-theorems in arbitrary dimensions
- Strange metal in magic-angle graphene with near Planckian dissipation
- String Theory, Quantum Phase Transitions and the Emergent Fermi-Liquid
- Untying the insulating and superconducting orders in magic-angle graphene
- Emergent quantum criticality, Fermi surfaces, and AdS2
- Theory of phonon-mediated superconductivity in twisted bilayer graphene
- Cascade of electronic transitions in magic-angle twisted bilayer graphene
- Strongly Correlated Chern Insulators in Magic-Angle Twisted Bilayer Graphene
- Decoupling superconductivity and correlated insulators in twisted bilayer graphene
- Seeing a c-theorem with holography
- Faithful Tight-binding Models and Fragile Topology of Magic-angle 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
- Chern Insulators and Topological Flat-bands in Magic-angle Twisted Bilayer Graphene
- Strong coupling phases of partially filled twisted bilayer graphene narrow bands
- Electrostatic effects, band distortions and superconductivity in twisted graphene bilayers
- Model for Metal-Insulator Transition in Graphene Superlattices and Beyond
- Chiral SDW and d + id superconductivity in the magic-angle twisted bilayer-graphene
- Topology-Bounded Superfluid Weight In Twisted Bilayer Graphene
- Holographic quantum matter
- Kohn-Luttinger Superconductivity in Twisted Bilayer Graphene
- Fractional Chern Insulator States in Twisted Bilayer Graphene: An Analytical Approach
- Hall conductivity from dyonic black holes
- Colorful horizons with charge in anti-de Sitter space
- Flavour Hund's Coupling, Correlated Chern Gaps, and Diffusivity in Moiré Flat Bands
- Strong Correlations and d+id Superconductivity in Twisted Bilayer Graphene
- Hofstadter subband ferromagnetism and symmetry broken Chern insulators in twisted bilayer graphene
- Phonon-induced giant linear-in- resistivity in magic angle twisted bilayer graphene: Ordinary strangeness and exotic superconductivity
- Ferromagnetic Mott State in Twisted Graphene Bilayers at the Magic Angle
- Unconventional superconductivity in nearly flat bands in twisted bilayer graphene
- Twisted bilayer graphene III. Interacting Hamiltonian and exact symmetries
- Ferromagnetism in narrow bands of moiré superlattices
- Particle-Hole Duality, Emergent Fermi Liquids and Fractional Chern Insulators in Moiré Flatbands
- Superconductivity from Valley Fluctuations and Approximate SO(4) Symmetry in a Weak Coupling Theory of Twisted Bilayer Graphene
- Pairing symmetry of interacting fermions on twisted bilayer graphene superlattice
- Possible correlated insulating states in magic-angle twisted bilayer graphene under strongly competing interactions
- Correlations and electronic order in a two-orbital honeycomb lattice model for 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
- Collective Excitations of Quantum Anomalous Hall Ferromagnets in Twisted Bilayer Graphene
- Band structure and insulating states driven by the Coulomb interaction in twisted bilayer graphene
- Non-Abelian Dirac node braiding and near-degeneracy of correlated phases at odd integer filling in magic angle twisted bilayer graphene
- Nematic topological semimetal and insulator in magic angle bilayer graphene at charge neutrality
- Towards the hidden symmetry in Coulomb interacting twisted bilayer graphene: renormalization group approach
- Antiferromagnetically ordered Mott insulator and superconductivity in twisted bilayer graphene: A quantum Monte carlo study
- Multiple topological transitions in twisted bilayer graphene near the first magic angle
- Efficient simulation of moire materials using the density matrix renormalization group
- Twisted bilayer graphene.VI. An Exact Diagonalization Study of Twisted Bilayer Graphene at Non-Zero Integer Fillings
- Charge-transfer insulation in twisted bilayer graphene
- Twisted bilayer graphene I. Matrix elements, approximations, perturbation theory and a 2-Band model
- Flavor Superconductivity from Gauge/Gravity Duality
- Superconductivity, correlated insulators, and Wess-Zumino-Witten terms in twisted bilayer graphene
- Nematicity with a twist: rotational symmetry breaking in a moiré superlattice
- Landau levels in twisted bilayer graphene and semiclassical orbits
- The holographic Weyl semi-metal
- Quantum phase transition between a topological and a trivial semimetal from holography
- Exact Diagonalization for Magic-Angle Twisted Bilayer Graphene
- Charge- superconductivity from multi-component nematic pairing: Application to twisted bilayer graphene
- Non-Abelian anomalies in multi-Weyl semimetals
- A Holographic Flat Band
- Fermions on Lifshitz Background
- Spin magnetometry as a probe of stripe superconductivity in twisted bilayer graphene
- Transport across twist angle domains in moiré graphene
- Correlated states in magic angle twisted bilayer graphene under the optical conductivity scrutiny
- Boomerang RG flows with intermediate conformal invariance
- Holographic Fermionic Fixed Points in d=3
- Quasi-flat-band physics in a two-leg ladder model and its relation to magic-angle twisted bilayer graphene
- Phase transitions in a holographic multi-Weyl semimetal
- Berry curvature and Hall viscosities in an anisotropic Dirac semi-metal
- Boomerang RG flows in M-theory with intermediate scaling
- Non-Hermitian Holography
- Holographic RG flows with nematic IR phases
- Holographic D3-probe-D5 Model of a Double Layer Dirac Semimetal
- Tracing out Correlated Chern Insulators in Magic Angle Twisted Bilayer Graphene
- Quantum Hall effective action for anisotropic Dirac semi-metal
- Intermediate scalings for Solv, Nil and black branes
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- Probing holographic flat bands at finite density
- An effective curved space-time geometric theory of generic twist angle graphene with application to a rotating bilayer configuration