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Title: Magnetic structure and magnetization of helical antiferromagnets in high magnetic fields perpendicular to the helix axis at zero temperature

Journal Article · · Physical Review B
 [1]
  1. Ames Lab. and Iowa State Univ., Ames, IA (United States). Dept. of Physics

The zero-temperature angles of magnetic moments in a helix or sinusoidal fan confined to the x y plane, with respect to an in-plane magnetic field H x applied perpendicular to the z axis of a helix or fan, are calculated for commensurate helices and fans with field-independent turn angles k d between moments in adjacent layers of the helix or fan using the classical J 0 - J 1 - J 2 Heisenberg model. For 0 < k d < 4 π / 9 , first-order transitions from helix to a fan structure occur at fields H t as previously inferred, where the fan is found to be approximately sinusoidal. However, for 4 π / 9 ≤ k d ≤ π , different behaviors are found depending on the value of k d and these properties vary nonmonotonically with k d . In this k d range, the change from helix to fanlike structure is usually a crossover with no phase transition between them, although first-order transitions are found for k d = 3 π / 5 and 8 π / 11 and a second-order transition for k d = 3 π / 4 . At a critical field H c , the fan or fanlike structures exhibit a second-order transition to the paramagnetic state. The H c for a helix undergoing a field-induced change to a fan or fanlike structure is found to be the same as for a sinusoidal fan with the same k d and interlayer interactions. We present analytical expressions for H c versus k d. We also calculated the average x -axis moment per spin μ x ave versus H x for helices and fans with crossovers and phase transitions between them. When smooth helix to fanlike crossovers occur in the range 4 π / 9 ≤ k d ≤ π , μ x ave exhibits an S-shape behavior with increasing H x . The behavior we predict is consistent with μ x ave ( H x ) data previously reported by Sangeetha et al. [Phys. Rev. B 94, 014422 (2016)] for single-crystal EuCo 2 P 2 possessing a helix ground state with k d ≈ 0.85 π . The low-field magnetic susceptibility and the ratio H t / H c are calculated analytically or numerically versus k d for helices, and are shown to approach the respective known limits for k d → 0 .

Research Organization:
Ames Lab., Ames, IA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-07CH11358
OSTI ID:
1394804
Alternate ID(s):
OSTI ID: 1378398
Report Number(s):
IS-J-9439; PRBMDO; TRN: US1702839
Journal Information:
Physical Review B, Vol. 96, Issue 10; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 21 works
Citation information provided by
Web of Science

References (18)

EuCo 2 P 2 : A model molecular-field helical Heisenberg antiferromagnet journal July 2016
Magnetic dipole interactions in crystals journal January 2016
Planar spin chain with competing interactions in an external magnetic field journal June 1991
A Neutron diffraction study of the magnetic structure of EuCo2P2 journal May 1992
Magnetic Susceptibility of Collinear and Noncollinear Heisenberg Antiferromagnets journal August 2012
Magnetization Process of a Helical Spin Configuration journal March 1961
Exact solution for the nonlinear pendulum journal January 2007
Behavior of Helical Spin Structures in Applied Magnetic Fields journal October 1970
Magnetization Process of a Screw Spin System. II journal January 1964
Influence of uniaxial single-ion anisotropy on the magnetic and thermal properties of Heisenberg antiferromagnets within unified molecular field theory journal March 2017
Analytical study of the critical behavior of the nonlinear pendulum journal November 2010
Unified molecular field theory for collinear and noncollinear Heisenberg antiferromagnets journal February 2015
Magnetization Process of a Screw Spin System journal June 1962
Topological structures, spontaneous symmetry breaking and energy spectra in dipole hexagonal lattices journal February 2021
Exact solution for the nonlinear pendulum journal January 2007
Unified Molecular Field Theory for Collinear and Noncollinear Heisenberg Antiferromagnets text January 2014
Magnetic Dipole Interactions in Crystals text January 2015
Influence of uniaxial single-ion anisotropy on the magnetic and thermal properties of Heisenberg antiferromagnets within unified molecular field theory text January 2017

Cited By (1)