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 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 Hmore »
- Authors:
-
- Ames Lab. and Iowa State Univ., Ames, IA (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Ames Lab., Ames, IA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1394804
- Alternate Identifier(s):
- OSTI ID: 1378398
- Report Number(s):
- IS-J-9439
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1702839
- Grant/Contract Number:
- AC02-07CH11358
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 10; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Johnston, David. Magnetic structure and magnetization of helical antiferromagnets in high magnetic fields perpendicular to the helix axis at zero temperature. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.96.104405.
Johnston, David. Magnetic structure and magnetization of helical antiferromagnets in high magnetic fields perpendicular to the helix axis at zero temperature. United States. https://doi.org/10.1103/PhysRevB.96.104405
Johnston, David. Tue .
"Magnetic structure and magnetization of helical antiferromagnets in high magnetic fields perpendicular to the helix axis at zero temperature". United States. https://doi.org/10.1103/PhysRevB.96.104405. https://www.osti.gov/servlets/purl/1394804.
@article{osti_1394804,
title = {Magnetic structure and magnetization of helical antiferromagnets in high magnetic fields perpendicular to the helix axis at zero temperature},
author = {Johnston, David},
abstractNote = {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 .},
doi = {10.1103/PhysRevB.96.104405},
journal = {Physical Review B},
number = 10,
volume = 96,
place = {United States},
year = {Tue Sep 05 00:00:00 EDT 2017},
month = {Tue Sep 05 00:00:00 EDT 2017}
}
Web of Science
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Works referencing / citing this record:
Reply to “Comment on ‘Magnetic structure and magnetization of -axis helical Heisenberg antiferromagnets with XY anisotropy in high magnetic fields transverse to the helix axis at zero temperature’ ”
journal, January 2020
- Johnston, David C.
- Physical Review B, Vol. 101, Issue 2