Skyrmion Superconductivity: DMRG evidence for a topological route to superconductivity
arXiv:2010.01144 · doi:10.1103/PhysRevB.106.035421
Abstract
It was recently suggested that the topology of magic-angle twisted bilayer graphene's (MATBG) flat bands could provide a novel mechanism for superconductivity distinct from both weakly-coupled BCS theory and the -wave phenomenology of the high- cuprates. In this work, we examine this possibility using a density matrix renormalization group (DMRG) study of a model which captures the essential features of MATBG's symmetry and topology. Using large scale cylinder-DMRG calculations to obtain the ground state and its excitations as a function of the electron doping, we find clear evidence for superconductivity driven by the binding of electrons into charge- skyrmions. Remarkably, this binding is observed even in the regime where the unscreened Coulomb repulsion is by-far the largest energy scale, demonstrating the robustness of this topological, all-electronic pairing mechanism.
7 + 14 pages, 5 + 12 figures: (v2) Added clarifications and discussion of pair wavefunction
References in corpus (10)
- Tunable Phase Boundaries and Ultra-Strong Coupling Superconductivity in Mirror Symmetric Magic-Angle Trilayer Graphene
- Electric field tunable unconventional superconductivity in alternating twist magic-angle trilayer graphene
- Twisted Bilayer Graphene IV. Exact Insulator Ground States and Phase Diagram
- Infinite density matrix renormalization group for multicomponent quantum Hall systems
- Towards the hidden symmetry in Coulomb interacting twisted bilayer graphene: renormalization group approach
- Fragile topology and flat-band superconductivity in the strong-coupling regime
- Efficient simulation of moire materials using the density matrix renormalization group
- Superconductivity, correlated insulators, and Wess-Zumino-Witten terms in twisted bilayer graphene
- Charge 2e skyrmions in bilayer graphene
- Doping-induced quantum spin Hall insulator to superconductor transition
Cited by in corpus (35)
- Strain-induced quantum phase transitions in magic angle graphene
- Family of ideal Chern flat bands with arbitrary Chern number in chiral twisted graphene multilayers
- Correlated insulators, semimetals, and superconductivity in twisted trilayer graphene
- Strong Coupling Theory of Magic-Angle Graphene: A Pedagogical Introduction
- Dynamical correlations and order in magic-angle twisted bilayer graphene
- Superconductivity and bosonic fluid emerging from Moiré flat bands
- Thermodynamic characteristic for correlated flat-band system with quantum anomalous Hall ground state
- Quantum Monte Carlo sign bounds, topological Mott insulator and thermodynamic transitions in twisted bilayer graphene model
- Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
- Euler Obstructed Cooper Pairing in Twisted Bilayer Graphene: Nematic Nodal Superconductivity and Bounded Superfluid Weight
- Finite-temperature critical behaviors in 2D long-range quantum Heisenberg model
- From electrons to baby skyrmions in Chern ferromagnets: A topological mechanism for spin-polaron formation in twisted bilayer graphene
- Gate-tunable topological phases in superlattice modulated bilayer graphene
- Electron-phonon coupling and competing Kekulé orders in twisted bilayer graphene
- Dynamical properties of quantum many-body systems with long range interactions
- Kekulé spiral order at all nonzero integer fillings in twisted bilayer graphene
- Dirac fermions with plaquette interactions. III. SU(N) phase diagram with Gross-Neveu criticality and first-order phase transition
- Chiral model of twisted bilayer graphene realized in a monolayer
- Multiferroicity and Topology in Twisted Transition Metal Dichalcogenides
- Non-coplanar magnetism, topological density wave order and emergent symmetry at half-integer filling of moiré Chern bands
- How quantum phases on cylinders approach the 2d limit
- A Sport and a Pastime: Model Design and Computation in Quantum Many-Body Systems
- Atomistic theory of moiré Hofstadter's butterfly in magic-angle graphene
- Textured Exciton Insulators
- Inducing topological flat bands in bilayer graphene with electric and magnetic superlattices
- Particle-hole asymmetric ferromagnetism and spin textures in the triangular Hubbard-Hofstadter model
- Superconductivity in a Topological Lattice Model with Strong Repulsion
- Ferromagnetism and Skyrmions in the Hofstadter-Fermi-Hubbard Model
- Exceptional topology in non-Hermitian twisted bilayer graphene
- Simulation of bilayer Hamiltonians based on monitored quantum trajectories
- Correlation effects in magic-angle twisted bilayer graphene: An auxiliary-field quantum Monte Carlo study
- Variational wavefunctions for fractional topological insulators
- Fermionic skyrmions and bosonization for a Gross-Neveu transition
- Tuning between a fractional topological insulator and competing phases at
- Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls