Magnetic phase diagram of the iron pnictides in the presence of spin-orbit coupling: Frustration between C2 and C4 magnetic phases

Christensen, Morten H.; Orth, Peter P.; Andersen, Brian M.; Fernandes, Rafael M.

doi:10.1103/PhysRevB.98.014523

Title: Magnetic phase diagram of the iron pnictides in the presence of spin-orbit coupling: Frustration between $C_{2}$ and $C_{4}$ magnetic phases

Journal Article · Mon Jul 30 00:00:00 EDT 2018 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.98.014523· OSTI ID:1464481

Christensen, Morten H. ^[1]; Orth, Peter P. ^[2]; Andersen, Brian M. ^[3]; Fernandes, Rafael M. ^[1]

Univ. of Minnesota, Minneapolis, MN (United States). School of Physics and Astronomy
Iowa State Univ., Ames, IA (United States). Dept. of Physics and Astronomy; Ames Lab. and Iowa State Univ., Ames, IA (United States)
Univ. of Copenhagen (Denmark). The Niels Bohr Inst.

We investigate the impact of spin anisotropic interactions, promoted by spin-orbit coupling, on the magnetic phase diagram of the iron-based superconductors. Three distinct magnetic phases with Bragg peaks at (π,0) and (0, π) are possible in these systems: one C₂ (i.e., orthorhombic) symmetric stripe magnetic phase and two C₄ (i.e., tetragonal) symmetric magnetic phases. While the spin anisotropic interactions allow the magnetic moments to point in any direction in the C₂ phase, they restrict the possible moment orientations in the C₄ phases. As a result, an interesting scenario arises in which the spin anisotropic interactions favor a C₂ phase, but the other spin isotropic interactions favor a C₄ phase. We study this frustration via both mean-field and renormalization-group approaches. We find that, to lift this frustration, a rich magnetic landscape emerges well below the magnetic transition temperature, with interesting C₂, C₄, and mixed C₂ – C₄ phases. Near the putative magnetic quantum critical point, spin anisotropies promote a stable Gaussian fixed point in the renormalization-group flow, which is absent in the spin isotropic case, and is associated with a near-degeneracy between C₂ and C₄ phases. Here, we argue that this frustration is the reason why most C₄ phases in the iron pnictides only appear inside the C₂ phase, and discuss additional manifestations of this frustration in the phase diagrams of these materials.

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Research Organization:: Ames Laboratory (AMES), Ames, IA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012336; A9318; AC02-07CH11358

OSTI ID:: 1464481

Alternate ID(s):: OSTI ID: 1462152

Report Number(s):: IS-J-9728; PRBMDO; TRN: US1902392

Journal Information:: Physical Review B, Vol. 98, Issue 1; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Magnetic phase diagram of the iron pnictides in the presence of spin-orbit coupling: Frustration between $C_{2}$ and $C_{4}$ magnetic phases