Dynamical domain walls and spin-Peierls order in doped antiferromagnets: evidence from exact diagonalization of small clusters

TL;DR

This study uses exact diagonalization to reveal that doped holes in the 2D t-J model form bound pairs and domain walls, exhibiting spin-Peierls order and soliton-like excitations, indicating complex quantum phases.

Contribution

It provides the first evidence of dynamical domain walls and spin-Peierls order in doped antiferromagnets through exact diagonalization of small clusters.

Findings

Holes form loosely bound pairs pinned to domain walls

Presence of sharp quasiparticle-like peaks in density correlations

Detection of spin-Peierls order and resonance peaks in spin correlations

Abstract

The hole-doped 2D t-J model is studied by exact diagonalization on a 5 x 4 cluster which, unlike the standard tilted square clusters, can in principle accomodate an antiphase domain wall. For hole concentration 10% and J/t >= 0.5 the ground state energy/site is lower than the conventional tilted square 20-site-cluster. In the ground state two holes form a loosely bound pair pinned to an antiphase domain wall. The dynamical density correlation function shows sharp quasiparticle-like peaks, reminiscent of the `holons' in 1D chains, which suggest the existence of soliton-like, propagating domain walls. The dynamical correlation function of the bond-singlet operator has a low-energy peak structure characteristic of columnar Spin-Peierls order, the dynamical spin correlation function shows an intense and isolated `resonance peak' near (pi,pi).