Pair Density Wave in the Doped t-J Model with Ring Exchange on a Triangular Lattice

Area of Science:

• Condensed Matter Physics
• Quantum Materials Science

Background:

• Previous work identified a quantum spin liquid with a spinon Fermi surface in a specific triangular lattice model.
• The study builds upon prior findings by investigating the effects of doping this exotic phase.

Purpose of the Study:

• To explore the consequences of doping the spinon Fermi surface phase in a two-dimensional spin-1/2 Heisenberg model.
• To identify the dominant pairing mechanism in the doped system and analyze its properties.

Main Methods:

• Utilized the t-J model with four-spin ring exchange on a triangular lattice.
• Employed density matrix renormalization group (DMRG) calculations on four-leg cylinders.

Main Results:

• Identified a pair density wave as the dominant pairing correlation function.
• Observed that this pair density wave exhibits oscillatory behavior with power-law decay.
• Investigated the doping dependence of the pair density wave's period.

Conclusions:

• This work presents the first instance of a pair density wave as the dominant pairing in a generic strongly interacting system.
• The observed pair density wave does not require special symmetry and cannot be explained as a composite order.