Magic-angle twisted bilayer graphene as a topological heavy fermion problem
ZD Song, BA Bernevig - Physical review letters, 2022 - APS
Magic-angle (θ= 1.0 5°) twisted bilayer graphene (MATBG) has shown two seemingly
contradictory characters: the localization and quantum-dot-like behavior in STM …
contradictory characters: the localization and quantum-dot-like behavior in STM …
Pauli-limit violation and re-entrant superconductivity in moiré graphene
Moiré quantum matter has emerged as a materials platform in which correlated and
topological phases can be explored with unprecedented control. Among them, magic-angle …
topological phases can be explored with unprecedented control. Among them, magic-angle …
Quantum textures of the many-body wavefunctions in magic-angle graphene
Interactions among electrons create novel many-body quantum phases of matter with
wavefunctions that reflect electronic correlation effects, broken symmetries and collective …
wavefunctions that reflect electronic correlation effects, broken symmetries and collective …
Twisted bilayer graphene. IV. Exact insulator ground states and phase diagram
We derive the exact insulator ground states of the projected Hamiltonian of magic-angle
twisted bilayer graphene (TBG) flat bands with Coulomb interactions in various limits, and …
twisted bilayer graphene (TBG) flat bands with Coulomb interactions in various limits, and …
Deconfined quantum critical points: a review
T Senthil - arXiv preprint arXiv:2306.12638, 2023 - arxiv.org
Continuous phase transitions in equilibrium statistical mechanics were successfully
described 50 years ago with the development of the renormalization group framework. This …
described 50 years ago with the development of the renormalization group framework. This …
Twisted bilayer graphene. III. Interacting Hamiltonian and exact symmetries
We derive the explicit Hamiltonian of twisted bilayer graphene (TBG) with Coulomb
interaction projected into the flat bands and study the symmetries of the Hamiltonian. First …
interaction projected into the flat bands and study the symmetries of the Hamiltonian. First …
Twisted bilayer graphene. V. Exact analytic many-body excitations in Coulomb Hamiltonians: Charge gap, Goldstone modes, and absence of Cooper pairing
We find exact analytic expressions for the energies and wave functions of the charged and
neutral excitations above the exact ground states (at rational filling per unit cell) of projected …
neutral excitations above the exact ground states (at rational filling per unit cell) of projected …
Theory of zero-field superconducting diode effect in twisted trilayer graphene
In a recent experiment (Lin et al 2021 arXiv: 2112.07841 [cond-mat. str-el]), the
superconducting phase hosted by a heterostructure of mirror-symmetric twisted trilayer …
superconducting phase hosted by a heterostructure of mirror-symmetric twisted trilayer …
Kondo lattice model of magic-angle twisted-bilayer graphene: Hund's rule, local-moment fluctuations, and low-energy effective theory
We apply a generalized Schrieffer-Wolff transformation to the extended Anderson-like
topological heavy fermion (THF) model for the magic-angle (θ= 1.0 5°) twisted bilayer …
topological heavy fermion (THF) model for the magic-angle (θ= 1.0 5°) twisted bilayer …
Twisted bilayer graphene. VI. An exact diagonalization study at nonzero integer filling
Using exact diagonalization, we study the projected Hamiltonian with the Coulomb
interaction in the eight flat bands of first magic angle twisted bilayer graphene. Employing …
interaction in the eight flat bands of first magic angle twisted bilayer graphene. Employing …