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Topological Chiral Superconductivity in the Triangular-Lattice Hofstadter-Hubbard Model

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arxiv 2509.02757 v1 pith:LJSALFAZ submitted 2025-09-02 cond-mat.str-el cond-mat.supr-con

Topological Chiral Superconductivity in the Triangular-Lattice Hofstadter-Hubbard Model

classification cond-mat.str-el cond-mat.supr-con
keywords chiraltopologicalcherndopingfluxhofstadter-hubbardinteractionmagnetic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Moir\'e materials provide exciting platforms for studying the interplay of strong electronic correlation and large magnetic flux effects. We study the lightly doped Hofstadter-Hubbard model on a triangular lattice through large-scale density matrix renormalization group and determinantal quantum Monte Carlo simulations. We find strong evidence for a robust chiral superconducting (SC) phase with dominant power-law pairing correlations and a quantized spin Chern number. The SC phase emerges at very weak interaction and grows stronger at intermediate interaction strengths (U ) for a wide range of hole doping. We also discuss the possible distinct nature of the normal state in different U regimes. Our work provides theoretical insights into the emergence of topological superconductivity from doping topological Chern bands or magnetic flux induced chiral spin liquid states of Moir\'e materials.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Exactly solvable pair-density wave in topological flat bands from magnetic translation symmetries

    cond-mat.supr-con 2026-06 unverdicted novelty 6.0

    Exactly solvable PDW ground states are constructed in topological flat bands with opposite Chern numbers via a generalized quantum geometric nesting approach applied to magnetic translation symmetries.

  2. Fluctuating Pair Density Wave in Finite-temperature Phase Diagram of the $t$-$t^\prime$ Hubbard Model

    cond-mat.str-el 2026-04 unverdicted novelty 6.0

    Thermal tensor network simulations of the t-t' Hubbard model find d-wave superconductivity on electron doping but strong fluctuating pair-density-wave order with momentum near (0, π) on hole doping in the pseudogap.

  3. Thermodynamic-Limit Evidence for Chiral Superconductivity Induced by Doping Chiral Topological Phases

    cond-mat.str-el 2025-12 conditional novelty 6.0

    Chiral superconductivity with finite pairing order and nearly universal phase winding emerges in the thermodynamic limit upon doping the chiral topological phases of the triangular Hofstadter-Hubbard model, per fermio...

  4. Topology and compact molecular orbitals in twisted bilayer WSe$_2$

    cond-mat.str-el 2026-07 conditional novelty 5.0

    The top two moiré valence bands of twisted WSe2, computed from first principles, carry Chern number C=+1 each and decompose into a compact f-orbital plus a topological c-orbital, giving ab initio parameters for effect...

  5. Gossamer Superconductivity in Moir\'e WSe$_2$ Bilayer

    cond-mat.str-el 2026-05 unverdicted novelty 5.0

    Renormalized mean-field study of an effective triangular-lattice Hubbard model for twisted WSe2 finds a chiral d+id superconducting phase at half filling stabilized by moderate Coulomb repulsion that preserves mobile ...

  6. Gossamer Superconductivity in Moir\'e WSe$_2$ Bilayer

    cond-mat.str-el 2026-05 unverdicted novelty 4.0

    Superconductivity at half-filling in moiré WSe2 is a gossamer chiral d+id state stabilized by extended hoppings and antiferromagnetic superexchange in an effective triangular-lattice Hubbard model with moderate repulsion.