HyperDet Wavefunction: A Phase-Agnostic Ansatz for Strongly Correlated Systems

arXiv:2609.04146 · cond-mat.str-el, cond-mat.mes-hall · Submitted 2026-09-03 · Read on arXiv

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

Submitted: 2026-09-03

Updated: 2026-09-23

Code: https://github.com/xiaodong-hu/HyperDet

Terminology

• Chern Number — 29× in this paper · explained in 4 episodes
• Entanglement — 17× in this paper · explained in 4 episodes
• Phase Transitions — 15× in this paper · explained in 2 episodes
• Topological Order — 15× in this paper · explained in 2 episodes
• Redundancy — 13× in this paper · explained in 2 episodes
• Hubbard Model — 12× in this paper · explained in 3 episodes
• Core — 7× in this paper · explained in 2 episodes
• Benchmark — 6× in this paper · explained in 2 episodes
• Entanglement Entropy — 6× in this paper · explained in 2 episodes
• Interpretability — 6× in this paper · explained in 15 episodes
• Symmetry Breaking — 5× in this paper · explained in 3 episodes
• Gauge Freedom — 4× in this paper · explained in 2 episodes
• Trace — 4× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Ancilla Qubits — 3× in this paper · explained in 1 episode
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Quantization — 3× in this paper · explained in 12 episodes
• Regularization — 3× in this paper · explained in 3 episodes
• Robustness — 3× in this paper · explained in 5 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Anisotropy — 1× in this paper · explained in 3 episodes
• Benchmarking — 1× in this paper · explained in 4 episodes
• Berry Curvature — 1× in this paper · explained in 3 episodes
• First-Order Transition — 1× in this paper · explained in 2 episodes
• Fisher Information — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Matrix Product States (MPS) — 1× in this paper · explained in 2 episodes
• Singular Value Decomposition (SVD) — 1× in this paper · explained in 2 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes
• Transformer — 1× in this paper · explained in 2 episodes
• Universality Class — 1× in this paper · explained in 2 episodes
• Variational Monte Carlo (VMC) — 1× in this paper · explained in 2 episodes

Sources

• Signatures of unconventional superconductivity near reentrant and fractional quantum anomalous Hall insulators
• Evidence of Metallic Wigner Crystal in Rhombohedral Graphene
• Twist-angle-dependent quantum phase diagrams in twisted bilayer MoTe2
• Beyond the Lowest Landau Level: Unlocking More Robust Fractional States Using Flat Chern Bands with Higher Vortexability
• How Similar Can Fractional Chern Insulators Be to Fractional Quantum Hall States? Moir'e-Enhanced Gaps and Excitation-Spectrum Correspondence
• Stripe Order in the Metallic and Superconducting Phases of Rhombohedral Hexalayer Graphene
• From fractional Chern insulators to topological electronic crystals in moir'e MoTe2: quantum geometry tuning via remote layer
• A Hierarchy of Superconductivity and Topological Charge Density Wave States in Rhombohedral Graphene
• Multi-Knob Switchable Chiral Superconductivity Quartet in Rhombohedral Graphene
• Hyperdeterminant wavefunctions
• Grassmann tensor network states and its renormalization for strongly correlated fermionic and bosonic states
• Projected Inverse Iteration: An Eigenvalue Approach to Ground-State Computation with Neural Quantum States
• Matrix product operators for symmetry-protected topological phases: Gauging and edge theories
• Enhancing Neural Network Backflow
• Solving fractional electron states in twisted MoTe$_2$ with deep neural network
• Deep Learning Sheds Light on Integer and Fractional Topological Insulators
• Neural Transformer Backflow for Solving Momentum-Resolved Ground States of Strongly Correlated Materials
• Stabilizing Fractional Chern States in Twisted MoTe2: Multi-band Correlations via Non-perturbative Renormalization Group
• Fractional Chern Insulators and Competing States in a Twisted MoTe$_2$ Lattice Model

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