Dominant Fifth-Order Correlations in Doped Quantum Antiferromagnets

Area of Science:

• Condensed Matter Physics
• Quantum Materials
• Many-Body Systems

Background:

• Traditional one- and two-point correlation functions may be insufficient for strongly correlated quantum materials.
• Higher-order correlations are crucial for characterizing these systems and can be numerically dominant.
• Recent experimental advances in ultracold atom systems allow access to higher-order correlations.

Purpose of the Study:

• To investigate the role and significance of higher-order correlations in doped quantum antiferromagnets.
• To reveal genuine fifth-order spin-charge correlations and their relation to dopant mobility.
• To contrast findings with predictions from quantum spin liquid models.

Main Methods:

• Utilized the density matrix renormalization group (DMRG) method.
• Studied a single mobile hole within the t-J model.
• Analyzed spin-charge correlations as a function of doping.

Main Results:

• Demonstrated strong non-Gaussian correlations in doped quantum antiferromagnets.
• Showed that higher-order correlations significantly dominate over lower-order terms.
• Identified genuine fifth-order correlations directly linked to dopant mobility.

Conclusions:

• Higher-order correlations are vital for understanding doped quantum antiferromagnets.
• The findings challenge models based on quantum spin liquids, which predict reduced higher-order correlations.
• Experimental verification in 2D Fermi-Hubbard quantum simulators is proposed to probe charge carrier nature in high-T_{c} superconductivity.