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Ground-state order in magic-angle graphene at filling ν = - 3 : A full-scale density matrix renormalization group study
Here we investigate twisted bilayer graphene (TBG) at filling ν = -3 in the presence of realistic heterostrain. Strain amplifies the band dispersion and drives the system beyond the strong-coupling regime of previous theoretical studies. We use DMRG to conduct an unbiased, large-scale numerical calculations that include all spin and valley degrees of freedom, up to bond dimension χ = 24576. We establish a global phase diagram that unifies a number of theoretical and experimental results. Near zero strain we find an intervalley-coherent quantized anomalous Hall (QAH-IVC) state, a competitive strong-coupling order that evaded past numerical studies. A tiny strain around 0.05% drives a transition into an incommensurate Kekulé spiral (IKS) phase, supporting the mean-field prediction in [Kwan, Phys. Rev. X 11, 041063 (2021)2160-330810.1103/PhysRevX.11.041063]. Even higher strains above 0.2% favor a flavor-symmetric metallic order, which may explain metals found at ν = -3 in many experiments.
Boundary transfer matrix spectrum of measurement-induced transitions
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Two-dimensional quantum lattice models via mode optimized hybrid CPU-GPU density matrix renormalization group method
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Renormalized density matrix downfolding: A rigorous framework in learning emergent models from ab initio many-body calculations
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Entanglement, partial set of measurements, and diagonality of the density matrix in the parton model
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Consistency checks for two-body finite-volume matrix elements. II. Perturbative systems
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Jackiw-Teitelboim supergravity, minimal strings, and matrix models
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Electroweak axial structure functions and improved extraction of the V u d CKM matrix element
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Jackiw-Teitelboim supergravity as a double-cut matrix model
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Proton decay matrix elements on the lattice at physical pion mass
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Pion distribution amplitude at the physical point using the leading-twist expansion of the quasi-distribution-amplitude matrix element
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K -matrix analysis of e + e − annihilation in the bottomonium region
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Precision measurement of the matrix elements for η → π + π − π 0 and η → π 0 π 0 π 0 decays
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QED as a many-body theory of worldlines. II. All-order S -matrix formalism
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