Spinon Singlet Pairing: Origin of $d$-Wave Sign Structure in a Partially-Filled Stripe

Abstract

Significant research advances have led to a consensus that the Fermi-Hubbard model and its extended variants are archetypical frameworks for elucidating the intertwined relationship between stripe orders and superconductivity in hole-doped high-$T_c$ materials. Notably, the Hubbard quantum simulator has recently achieved several remarkable breakthroughs, e.g., being cooled down to the cryogenic regime and enabling the observation of stable fluctuating stripes. However, the microscopic mechanism underlying the $d$-wave pairing of electrons in the presence of stripes at low temperatures remains poorly understood due to the intricate interplay between strongly correlated effects and non-negligible thermal fluctuations. Here, we conduct a close investigation of a partially-filled stripe in the representative $t$-$J$ and $t$-$t^{\prime }$-$U$ models with both numerical and analytical methods. Analogous to quantum gas microscopy, the perfect sampling technique allows us to obtain the high-confidence-level statistics of the Fock basis states appearing in the ground-state wavefunction. In a novel physical paradigm, these data demonstrate that two spinons with opposite chiralities tend to pair spontaneously into a singlet state, thereby naturally giving rise to the $d$-wave pairing pattern. Then, using the updated effective theory of quantum colored string, we have reconstructed the wavefunction and have determined the nature of spinon pairing and its connection to the $d$-wave sign structure of pair-pair correlation. Furthermore, spinon singlet pairs enable the establishment of a long-range pair-pair correlation between the two stripes. Our work offers new insights into the microscopic physics of stripes and paves the way for further exploration of multi-stripe-mediated pairing mechanisms in the Fermi-Hubbard model.

5 pages, 5 figures, almost published version; comments are welcome and more information at http://cqutp.org/users/xfzhang/

References in corpus (38)

• Correlated Electrons in High Temperature Superconductors
• Theory of Intertwined Orders in High Temperature Superconductors
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Detection of a Cooper-Pair Density Wave in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+x}$
• One-dimensional nature of the magnetic fluctuations in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Superconductivity in the Hubbard model and its interplay with charge stripes and next-nearest hopping t'
• Energetics of Domain Walls in the 2D t-J model
• String patterns in the doped Hubbard model
• Perfect Sampling with Unitary Tensor Networks
• Coexistence of superconductivity with partially filled stripes in the Hubbard model
• Time-Resolved Observation of Spin-Charge Deconfinement in Fermionic Hubbard Chains
• Ground state phase diagram of the doped Hubbard model on the 4-leg cylinder
• Visualizing the Energy-gap Modulations of the Cuprate Pair Density Wave State
• Frustration- and doping-induced magnetism in a Fermi-Hubbard simulator
• Plaquette versus ordinary $d$-wave pairing in the $t^{\prime }$-Hubbard model on a width 4 cylinder
• Robust d-wave superconductivity in the square-lattice $t$-$J$ model
• Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature
• Angle-resolved photoemission spectroscopy of a Fermi-Hubbard system
• When Superconductivity Crosses Over: From BCS to BEC
• Spins, Stripes, and Superconductivity in Hole-Doped Cuprates
• Strong pairing in mixed dimensional bilayer antiferromagnetic Mott insulators
• Quantum strings in quantum spin ice
• Direct evidence for Cooper pairing without a spectral gap in a disordered superconductor above $T_C$
• Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model
• Emergent Superconductivity and Competing Charge Orders in Hole-Doped Square-Lattice $t$-$J$ Model
• Temperature Dependence of Spin and Charge Orders in the Doped Two-Dimensional Hubbard Model
• A neutral-atom Hubbard quantum simulator in the cryogenic regime
• Origin and fate of the pseudogap in the doped Hubbard model
• Observation of generalized t-J spin dynamics with tunable dipolar interactions
• Quantum dynamics of topological strings in a frustrated Ising antiferromagnet
• The emergence of global phase coherence from local pairing in underdoped cuprates
• Quantum domain walls induce incommensurate supersolid phase on the anisotropic triangular lattice
• Chiral edge states and fractional charge separation in interacting bosons on a Kagome lattice
• Formation of stripes in a mixed-dimensional cold-atom Fermi-Hubbard system
• Phase Diagram, $d$-Wave Superconductivity, and Pseudogap of the $t$-$t^{\prime }$-$J$ Model at Finite Temperature
• Feshbach hypothesis of high-Tc superconductivity in cuprates
• Charge Stripe Manipulation of Superconducting Pairing Symmetry Transition
• Quantum colored strings in the hole-doped $t$-$J_z$ model