Orbitally and Magnetically Induced Anisotropy in Iron-based Superconductors

TL;DR

This paper models how orbital and magnetic effects induce electronic anisotropy in iron-based superconductors, aligning theoretical predictions with experimental observations of anisotropic resistivity and optical properties.

Contribution

It introduces a mean-field model incorporating orbital order into a five-orbital Hubbard framework, explaining anisotropy without long-range magnetic order.

Findings

Weak orbital order can reproduce experimental band dispersions.

Stripe antiferromagnetic order is stabilized by orbital effects.

Calculated optical conductivity matches temperature-dependent anisotropy data.

Abstract

Recent experimental developments in the iron pnictides have unambiguously demonstrated the existence of in-plane electronic anisotropy in the absence of the long-range magnetic order. Such anisotropy can arise from orbital ordering, which is described by an energy splitting between the two otherwise degenerate $d_{xz}$ and $d_{yz}$ orbitals. By including this phenomenological orbital order into a five-orbital Hubbard model, we obtain the mean-field solutions where the magnetic order is determined self-consistently. Despite sensitivity of the resulting states to the input parameters, we find that a weak orbital order that places the $d_{yz}$ orbital slightly higher in energy than the $d_{xz}$ orbital, combined with intermediate on-site interactions, produces band dispersions that are compatible with the photoemission results. In this regime, the stripe antiferromagnetic order is further stabilized and the resistivity displays the observed anisotropy. We also calculate the optical conductivity and show that it agrees with the temperature evolution of the anisotropy seen experimentally.