Charge-4e Superconducting Ground State without Pair Condensation: Exact Quartet Dynamics, Rigorous Order, and a Microscopic Route

arXiv:2609.24445 · cond-mat.str-el, cond-mat.supr-con · Submitted 2026-09-21 · Read on arXiv

cond-mat.str-el, cond-mat.supr-con

Submitted: 2026-09-21

Updated: 2026-09-21

Terminology

• Hubbard Model — 8× in this paper · explained in 3 episodes
• Core — 5× in this paper · explained in 2 episodes
• Clustering — 4× in this paper · explained in 2 episodes
• Degeneracy — 4× in this paper · explained in 3 episodes
• Anisotropy — 3× in this paper · explained in 3 episodes
• Benchmark — 3× in this paper · explained in 2 episodes
• Effective Hamiltonian — 3× in this paper · explained in 2 episodes
• Frustration — 3× in this paper · explained in 2 episodes
• Cluster expansion — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Domain Walls — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes
• Symmetry Breaking — 1× in this paper · explained in 3 episodes
• Topological Order — 1× in this paper · explained in 2 episodes
• Universality Class — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes
• alpha — 1× in this paper · explained in 1 episode

Sources

• Dislocations and vortices in pair density wave superconductors
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• Theory of Intertwined Orders in High Temperature Superconductors
• The Physics of Pair Density Waves
• $d$-wave Charge-$4e$ Superconductivity From Fluctuating Pair Density Waves
• Vestigial $d$-wave charge-$4e$ Superconductivity from Bidirectional Pair Density Waves
• Charge-$4e$ superconductivity from multi-component nematic pairing: Application to twisted bilayer graphene
• Charge-$4e$ superconductivity from nematic superconductors in 2D and 3D
• Charge-4$e$ Superconductivity in a Hubbard model
• Quantum Charge-4e Superconductivity and Deconfined Pseudocriticality in the Attractive SU(4) Hubbard Model
• Primary charge-4e superconductivity from doping a featureless Mott insulator
• High-temperature charge-4e superconductivity in SU(4) interacting fermions
• Charge-4e superconductors: a Majorana quantum Monte Carlo study
• Solvable model for a charge-$4e$ superconductor
• Exact eigenstates of extended SU($N$) Hubbard models: Generalizations of $\eta$-pairing states with $N$-particle off-diagonal long-range order
• $\eta$-pairing as a mechanism of superconductivity in models of strongly correlated electrons
• Rigorous results on superconducting ground states for attractive extended Hubbard models
• Proof of Aldous' spectral gap conjecture
• Exactly solvable Richardson-Gaudin models for many-body quantum systems

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