Hole dynamics in canted antiferromagnets

TL;DR

This paper investigates how a single hole moves in a canted antiferromagnet using the t-J model, revealing two energy scales and complex spectral behavior influenced by canting angle.

Contribution

It provides a detailed analysis of hole dynamics in canted antiferromagnets, highlighting the dual energy scales and spectral function behavior with canting angle, which was not previously understood.

Findings

Hole propagates at two energy scales along AF and FM components.

Quasiparticle weight depends on momentum and vanishes for large canting angles.

Spectral function exhibits non-trivial behavior with canting angle.

Abstract

We have analyzed the dynamics of a single hole doped in a canted antiferromagnet using the t-J model. Within the self consistent Born approximation we have found that the hole propagates at two different energy scales along the antiferromagnetic and the ferromagnetic components of the canted order, respectively. While the many body quasiparticle excitation has its origin in the coherent coupling of the hole with the magnon excitations of the antiferromagnetic component, the ferromagnetic component gives rise to a free like hole motion at higher energies. We have found a non-trivial behavior of the hole spectral function with the canting angle. In particular, in the strong coupling regime, the quasiparticle weight strongly depends on the momenta, vanishing inside the magnetic Brillouin zone for a canting angle greater than 60 degree.