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  1. Higher Chern bands in helical homotrilayer transition metal dichalcogenides

    Publication
    We propose helically twisted homotrilayer transition metal dichalcogenides as a platform for realizing correlated topological phases of matter with higher and tunable Chern numbers. We show that a …

  2. New magnetic topological materials from high-throughput search

    Publication
    We conducted a high-throughput search for topological magnetic materials across 522 new, experimentally reported commensurate magnetic structures from MAGNDATA, doubling the number of available materials on the …

  3. Does Moire Matter? Critical Moire Dependence with Quantum Fluctuations in Graphene Based Integer and Fractional Chern Insulators

    Publication
    Rhombohedral multilayer graphene has emerged as a powerful platform for investigating flat-band-driven correlated phenomena, yet most aspects remain not understood. In this work, we systematically study …

  4. Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe\(_2\)

    Publication
    The interplay between moiré flat bands originating from different valleys can give rise to a variety of exotic quantum phases. In this work, we investigate the electronic properties …

  5. Obtaining the Spectral Function of Moir\'e Graphene Heavy-Fermions Using Iterative Perturbation Theory

    Publication
    The spectral functions of twisted bilayer graphene (TBG) in the absence of strain have recently been investigated in both the symmetric and symmetry-broken phases using dynamical mean …

  6. Topological heavy fermion model as an efficient representation of atomistic strain and relaxation in twisted bilayer graphene

    Publication
    Although the strongly interacting flat bands in twisted bilayer graphene (TBG) have been approached using the minimal Bistritzer-MacDonald Hamiltonian, there is mounting evidence that strain and lattice …

  7. Kekul\'e spiral order from strained topological heavy fermions

    Publication
    The topological heavy fermion (THF) model of twisted bilayer graphene is a framework for treating its strongly interacting topological flat bands. In this work, we employ the THF …

  8. Critical Majorana fermion at a topological quantum Hall bilayer transition

    Publication
    Quantum Hall bilayers are a uniquely tunable platform that can realize continuous transitions between distinct topological phases of matter. One prominent example is the transition between the Halperin …

  9. Multiband exact diagonalization and an iteration approach to search for fractional Chern insulators in rhombohedral multilayer graphene

    Publication
    We perform a multi-band exact diagonalization (ED) study of rhombohedral pentalayer graphene twisted on hexagonal boron nitride with a focus on fractional Chern insulators (FCI) in systems …

  10. Symmetry Resolved Entanglement Entropy in a Non-Abelian Fractional Quantum Hall State

    Publication
    Symmetry-resolved entanglement entropy provides a powerful framework for probing the internal structure of quantum many-body states by decomposing entanglement into contributions from distinct symmetry sectors. In …

  11. Regularizing 3D conformal field theories via anyons on the fuzzy sphere

    Publication
    Recently introduced ''fuzzy sphere'' method has enabled accurate numerical regularizations of certain three-dimensional (3D) conformal field theories (CFTs). The regularization is provided by the non-commutative geometry …

  12. Spinless and spinful charge excitations in moir\'e Fractional Chern Insulators

    Publication
    Fractionally charged elementary excitations, the quasi-electron and quasi-hole, are one of the hallmarks of the fractional Chern insulator (FCI). In this work, we observe that spontaneous …

  13. Tunable vacuum-field control of fractional and integer quantum Hall phases

    Publication
    In quantum mechanics, empty space is not void but is characterized by vacuum-field fluctuations, which underlie phenomena such as the Lamb shift1, spontaneous emission, and the Casimir …

  14. Fractional topological states in rhombohedral multilayer graphene modulated by kagome superlattice

    Publication
    Fractional quantum anomalous Hall effects realized in twisted bilayer MoTe2 and multilayer-graphene-based moiré heterostructures have captured a tremendous growth of interest. In this work, we propose …

  15. Observation of High-Temperature Dissipationless Fractional Chern Insulator

    Publication
    The fractional quantum anomalous Hall effect has recently been experimentally observed in zero-field fractional Chern insulators (FCI). However, an outstanding challenge is the presence of a substantial …

  16. Attractive Haldane bilayers for trapping non-Abelian anyons

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  17. Attractive Haldane bilayers for trapping non-Abelian anyons

    Publication

  18. 2D Theoretically Twistable Material Database

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  19. Two-dimensional Topological Quantum Chemistry and Catalog of Topological Materials

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  20. Universal Moiré-Model-Building Method without Fitting: Application to Twisted MoTe

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  21. Topologically protected flatness in chiral moiré heterostructures

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  22. Topologically protected flatness in chiral moiré heterostructures

    Publication