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Parallel Implementation of the Density Matrix Renormalization Group Method Achieving a Quarter petaFLOPS Performance on a Single DGX-H100 GPU Node
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Polaritonic Chemistry Using the Density Matrix Renormalization Group Method
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Periodic Density Matrix Embedding for CO Adsorption on the MgO(001) Surface
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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.
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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ASTRA: Transition-density-matrix approach to molecular ionization
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Chiral Spin Liquid Phase of the Triangular Lattice Hubbard Model: A Density Matrix Renormalization Group Study
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