Directional Criticality and Higher-Order Flatness: Designing Van Hove Singularities in Three Dimensions

arXiv:2604.07806 · cond-mat.str-el, cond-mat.mtrl-sci · Submitted 2026-04-09 · Read on arXiv

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

Submitted: 2026-04-09

Updated: 2026-09-21

Terminology

• Scaling Laws — 3× in this paper · explained in 4 episodes
• Fine-Tuning — 2× in this paper · explained in 5 episodes
• Lifshitz transition — 2× in this paper · explained in 2 episodes
• Phase Transitions — 2× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Frustration — 1× in this paper · explained in 2 episodes
• Higher-order derivatives — 1× in this paper · explained in 2 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes
• Spin-Orbit Coupling (SOC) — 1× in this paper · explained in 3 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes
• Universality Class — 1× in this paper · explained in 2 episodes

Sources

• Type-I and Type-II Saddle Points and a Topological Flat Band in a Bi-Pyrochlore Superconductor CsBi2

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