Symmetric Mode Ansatz: Theory of Magnon Collective Modes in Chern Insulators

arXiv:2610.10706 · cond-mat.str-el, cond-mat.mes-hall, cond-mat.mtrl-sci · Submitted 2026-10-07 · Read on arXiv

cond-mat.str-el, cond-mat.mes-hall, cond-mat.mtrl-sci

Submitted: 2026-10-07

Updated: 2026-10-07

Terminology

• Berry Curvature — 23× in this paper · explained in 3 episodes
• Chern Number — 22× in this paper · explained in 4 episodes
• Hubbard Model — 18× in this paper · explained in 3 episodes
• Hilbert Space — 12× in this paper · explained in 2 episodes
• Momentum transfer — 6× in this paper · explained in 2 episodes
• Trace — 6× in this paper · explained in 2 episodes
• Core — 5× in this paper · explained in 2 episodes
• Accuracy — 4× in this paper · explained in 1 episode
• Degeneracy — 4× in this paper · explained in 3 episodes
• Generalization — 2× in this paper · explained in 13 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Frustration — 1× in this paper · explained in 2 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Valley Polarization — 1× in this paper · explained in 2 episodes

Sources

• Observation of High-Temperature Dissipationless Fractional Chern Insulator
• Universal Magnetic Phases in Twisted Bilayer MoTe$_2$
• Signatures of unconventional superconductivity near reentrant and fractional quantum anomalous Hall insulators
• When Could Abelian Fractional Topological Insulators Exist in Twisted MoTe$_2$ (and Other Systems)
• Stabilizing fractional Chern insulators via exchange interaction in moir'e systems
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe$_2$
• Soft modes in magic angle twisted bilayer graphene
• Quantum-geometric dipole: a topological boost to flavor ferromagnetism in flat bands
• Collective Spin Excitations in Correlated Moir'e Chern Ferromagnets
• Universal Moir'e-Model-Building Method without Fitting: Application to Twisted MoTe$_2$ and WSe$_2$
• Euler Obstructed Cooper Pairing in Twisted Bilayer Graphene: Nematic Nodal Superconductivity and Bounded Superfluid Weight
• Textured Exciton Insulators
• Many-Body Superconductivity in Topological Flat Bands
• Stability of Ferromagnetism in Hubbard models with degenerate single-particle ground states
• Ferromagnetism in the Hubbard Model-- Examples from Models with Degenerate Single-Electron Ground States
• Ferromagnetism in the Hubbard model: A constructive approach
• Effective theory and emergent $SU(2)$ symmetry in the flat bands of attractive Hubbard models
• Quantum geometric bound for saturated ferromagnetism
• Superfluid weight in the isolated band limit within the generalized random phase approximation
• Exact models of chiral flat-band superconductors

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