Colloquium: Quantum anomalous Hall effect
The quantum Hall (QH) effect, quantized Hall resistance combined with zero longitudinal
resistance, is the characteristic experimental fingerprint of Chern insulators—topologically …
resistance, is the characteristic experimental fingerprint of Chern insulators—topologically …
Non-Hermitian topological magnonics
Dissipation in mechanics, optics, acoustics, and electronic circuits is nowadays recognized
to be not always detrimental but can be exploited to achieve non-Hermitian topological …
to be not always detrimental but can be exploited to achieve non-Hermitian topological …
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 …
Exact landau level description of geometry and interaction in a flatband
Flatbands appear in many condensed matter systems, including the two-dimensional
electron gas in a high magnetic field, correlated materials, and moiré heterostructures. They …
electron gas in a high magnetic field, correlated materials, and moiré heterostructures. They …
Kekulé spiral order at all nonzero integer fillings in twisted bilayer graphene
We study magic angle graphene in the presence of both strain and particle-hole symmetry
breaking due to nonlocal interlayer tunneling. We perform a self-consistent Hartree-Fock …
breaking due to nonlocal interlayer tunneling. We perform a self-consistent Hartree-Fock …
Efficient simulation of moiré materials using the density matrix renormalization group
We present an infinite density-matrix renormalization group (DMRG) study of an interacting
continuum model of twisted bilayer graphene (tBLG) near the magic angle. Because of the …
continuum model of twisted bilayer graphene (tBLG) near the magic angle. Because of the …
Polynomial sign problem and topological Mott insulator in twisted bilayer graphene
We show that for the magic-angle twisted bilayer graphene (TBG) away from the charge
neutrality point, although quantum Monte Carlo (QMC) simulations suffer from the sign …
neutrality point, although quantum Monte Carlo (QMC) simulations suffer from the sign …
Magic-angle twisted symmetric trilayer graphene as a topological heavy-fermion problem
Recently, Song and Bernevig [Phys. Rev. Lett. 129, 047601 (2022) 0031-9007
10.1103/PhysRevLett. 129.047601] reformulated magic-angle twisted bilayer graphene as a …
10.1103/PhysRevLett. 129.047601] reformulated magic-angle twisted bilayer graphene as a …
Dynamical properties of quantum many-body systems with long-range interactions
Employing large-scale quantum Monte Carlo simulations, we systematically compute the
energy spectra of the two-dimensional (2D) spin-1/2 Heisenberg model with long-range …
energy spectra of the two-dimensional (2D) spin-1/2 Heisenberg model with long-range …
Quantum criticality and entanglement for the two-dimensional long-range Heisenberg bilayer
The study of quantum criticality and entanglement in systems with long-range (LR)
interactions is still in its early stages, with many open questions remaining to be explored. In …
interactions is still in its early stages, with many open questions remaining to be explored. In …