Magnetic Structure and Magnetization of Helical Antiferromagnets in High Magnetic Fields Perpendicular to the Helix Axis at Zero Temperature

Abstract

The zero-temperature angles of magnetic moments in a helix or sinusoidal fan confined to the xy plane, with respect to an in-plane magnetic field Hx applied perpendicular to the z axis of a helix or fan, are calculated for commensurate helices and fans with field-independent turn angles kd between moments in adjacent layers of the helix or fan using the classical J0-J1-J2 Heisenberg model. For 0 < kd < $4\pi /9$, first-order transitions from helix to a fan structure occur at fields Ht as previously inferred, where the fan is found to be approximately sinusoidal. However, for $4\pi /9$ < kd < $\pi$, different behaviors are found depending on the value of kd and these properties vary nonmonotonically with kd. In this kd range, the change from helix to fanlike structure is usually a crossover with no phase transition between them, although first-order and second order transitions are found. We also calculated the average x-axis moment per spin ${\mu }_{xave}$ versus Hx for helices and fans with crossovers and phase transitions between them. When smooth helix to fanlike crossovers occur in the range $4\pi /9$ < kd < $\pi$, ${\mu }_{xave}$ exhibits an S-shape behavior with increasing Hx. This predicted behavior is consistent with ${\mu }_{xave}$(Hx) data previously reported by Sangeetha, et al. [Phys. Rev. B 94, 014422 (2016)] for single-crystal EuCo2P2 possessing a helix ground state with kd = $0.85\pi$. The low-field magnetic susceptibility and the ratio Ht/Hc are calculated analytically or numerically versus kd for helices.

arXiv comment29 pages, 32 figures, 4 tables; v2: minor corrections, published version

References in corpus (6)

• Unified Molecular Field Theory for Collinear and Noncollinear Heisenberg Antiferromagnets
• Magnetic Susceptibility of Collinear and Noncollinear Heisenberg Antiferromagnets
• Magnetic Dipole Interactions in Crystals
• EuCo2P2: A Model Molecular-Field Helical Heisenberg Antiferromagnet
• Influence of uniaxial single-ion anisotropy on the magnetic and thermal properties of Heisenberg antiferromagnets within unified molecular field theory
• EuCo2P2: A Model Molecular-Field Helical Heisenberg Antiferromagnet

Cited by in corpus (16)

• Near-room-temperature giant topological Hall effect in antiferromagnetic kagome metal YMn6Sn6
• In-plane magnetic field induced double fan spin structure with $\text{c}$-axis component in metallic kagome antiferromagnet YMn${}_6$Sn${}_6$
• Magnetic, thermal, and electronic-transport properties of EuMg2Bi2 single crystals
• A-type antiferromagnetic order and magnetic phase diagram of the trigonal Eu spin-7/2 triangular-lattice compound EuSn2As2
• Strongly fluctuating moments in the high-temperature magnetic superconductor RbEuFe${}_4$As${}_4$
• New insight into tuning magnetic phases of $R$Mn${}_6$Sn${}_6$ kagome metals
• Helical Antiferromagnetic Ordering in EuNi{1.95}As2
• Flat band magnetism and helical magnetic order in Ni-doped SrCo${}_2$As${}_2$
• Antiferromagnetic helix as an efficient spin polarizer: Interplay between electric field and higher ordered hopping
• Magnetic structure and magnetization of z-axis helical Heisenberg antiferromagnets with XY anisotropy in high magnetic fields transverse to the helix axis at zero temperature
• Anomalous Electrical Transport in the Kagome Magnet YbFe${}_6$Ge${}_6$
• Topological magnon in exchange frustration driven incommensurate spin spiral of a kagome lattice YMn${}_6$Sn${}_6$
• Nature of field-induced transitions and hysteretic magnetoresistance in non-collinear antiferromagnet EuIn2As2
• Correlation between Complex Spin Textures and the Magnetocaloric and Hall Effects in Eu(Ga${}_{1-x}$Al${}_x$)${}_4$ ($x$ = 0.9, 1)
• Phenomenological theory of magnetic 90${}^{\circ }$ helical state
• Magnetic order and fluctuations in quasi-two-dimensional planar magnet Sr(Co${}_{1-x}$Ni${}_x$)${}_2$As${}_2$