Singlet Stripe Phases in the planar t-J Model

TL;DR

This paper investigates singlet stripe phases in the planar t-J model, showing how static and dynamic holes influence stripe formation, charge density waves, and superconductivity around J/t ≈ 1.

Contribution

It introduces a model combining static and dynamic holes to explain stripe phases and superconductivity in the t-J model.

Findings

Stripe phases are favored with static holes and spin liquid ladders.

Hole-hole correlations are mainly charge density wave type near J/t ≈ 1.

Melting of hole lines leads to a superconducting Bose condensate.

Abstract

The energies of singlet stripe phases in which a plane is broken up into spin liquid ladders by lines of holes, is examined. If the holes were static then patterns containing spin liquids with a finite spin gap are favored. The case of dynamic holes is treated by assembling t-J ladders oriented perpendicular to the stripes. For a wide region around $J/t \approx 1$ the hole-hole correlations in a single ladder are found to be predominantly charge density wave type but an attraction between hole pairs on adjacent ladders leads to a stripe phase. A quantum mechanical melting of the hole lines at smaller $J/t$ values leads to a Bose condensate of hole pairs, i.e. a superconducting phase.