Neural-quantum-state based downfolding of the three-band Emery model for cuprates and nickelates

arXiv:2609.38150 · cond-mat.str-el, cond-mat.dis-nn, cond-mat.quant-gas, cond-mat.supr-con · Submitted 2026-09-29 · Read on arXiv

cond-mat.str-el, cond-mat.dis-nn, cond-mat.quant-gas, cond-mat.supr-con

Submitted: 2026-09-29

Updated: 2026-09-29

Terminology

• Hubbard Model — 24× in this paper · explained in 3 episodes
• Benchmark — 8× in this paper · explained in 2 episodes
• Hidden Fermion Determinant States — 5× in this paper
• Accuracy — 4× in this paper · explained in 1 episode
• Effective Hamiltonian — 3× in this paper · explained in 2 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Particle-hole asymmetry — 3× in this paper · explained in 2 episodes
• Altermagnetism — 2× in this paper · explained in 1 episode
• Benchmarking — 2× in this paper · explained in 4 episodes
• Matrix Product States — 2× in this paper
• Alignment — 1× in this paper · explained in 1 episode
• Angle-Resolved Photoemission Spectroscopy (ARPES) — 1× in this paper · explained in 1 episode
• European Research Council — 1× in this paper
• Matrix Product States (MPS) — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes

Sources

• Cooper-Pair Localization in the Magnetic Dynamics of a Cuprate Ladder
• Charge-transfer gap size and oxygen hole content as two mechanisms controlling $T_c$ in the Emery model
• Robust fluctuating intertwined charge stripes in the Emery model
• Magnetic electron-hole asymmetry in cuprates: a computational revisit
• Realizing multi-orbital Emery models with ultracold atoms
• Realizing the Emery Model in Optical Lattices for Quantum Simulation of Cuprates and Nickelates
• Altermagnetism in modified Lieb lattice Hubbard model
• Importance of effective Coulomb interactions for $T_c$ in cuprates
• Beyond the conventional Emery model: crucial role of long-range hopping for cuprate superconductivity
• Comparing Symmetrized Determinant Neural Quantum States for the Hubbard Model
• Superconductivity in the two-dimensional Hubbard model revealed by neural quantum states
• Superconductivity in the $t$-$t'$ Hubbard Model from Symmetry-Preserving Neural-Network Quantum States
• Simulating superconductivity in mixed-dimensional $t_\parallel$-${J}_\parallel$-${J}_\perp$ bilayers with neural quantum states
• lrux: Fast low-rank updates of determinants and Pfaffians in JAX

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