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Title: Normal modes of a spin cycloid or helix

Abstract

Although spin cycloids and helices are quite common, remarkably little is known about the normal modes of a spin cycloid or helix with finite length on a discrete lattice. Based on simple one-dimensional lattice models, we numerically evaluate the normal modes of a spin cycloid or helix produced by either Dzyaloshinskii-Moriya (DM) or competing exchange (CE) interactions. The normal modes depend on the type of interaction and on whether the nearest-neighbor exchange is antiferromagnetic (AF) or ferromagnetic (FM). In the AF/DM and FM/DM cases, there is only a single Goldstone mode; in the AF/CE and FM/CE cases, there are three. For FM exchange, the spin oscillations produced by non-Goldstone modes contain a mixture of tangential and transverse components. For the DM cases, we compare our numerical results with analytic results in the continuum limit. Examples are given of materials that fall into all four cases.

Authors:
ORCiD logo [1];  [2];  [3]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Materials Science & Technology Division
  2. National Inst. of Chemical Physics and Biophysics, Tallinn (Estonia)
  3. Univ. of Victoria, BC (Canada)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1559728
Alternate Identifier(s):
OSTI ID: 1494655
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 6; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Fishman, Randy S., Rõõm, Toomas, and de Sousa, Rogério. Normal modes of a spin cycloid or helix. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.064414.
Fishman, Randy S., Rõõm, Toomas, & de Sousa, Rogério. Normal modes of a spin cycloid or helix. United States. doi:10.1103/PhysRevB.99.064414.
Fishman, Randy S., Rõõm, Toomas, and de Sousa, Rogério. Wed . "Normal modes of a spin cycloid or helix". United States. doi:10.1103/PhysRevB.99.064414. https://www.osti.gov/servlets/purl/1559728.
@article{osti_1559728,
title = {Normal modes of a spin cycloid or helix},
author = {Fishman, Randy S. and Rõõm, Toomas and de Sousa, Rogério},
abstractNote = {Although spin cycloids and helices are quite common, remarkably little is known about the normal modes of a spin cycloid or helix with finite length on a discrete lattice. Based on simple one-dimensional lattice models, we numerically evaluate the normal modes of a spin cycloid or helix produced by either Dzyaloshinskii-Moriya (DM) or competing exchange (CE) interactions. The normal modes depend on the type of interaction and on whether the nearest-neighbor exchange is antiferromagnetic (AF) or ferromagnetic (FM). In the AF/DM and FM/DM cases, there is only a single Goldstone mode; in the AF/CE and FM/CE cases, there are three. For FM exchange, the spin oscillations produced by non-Goldstone modes contain a mixture of tangential and transverse components. For the DM cases, we compare our numerical results with analytic results in the continuum limit. Examples are given of materials that fall into all four cases.},
doi = {10.1103/PhysRevB.99.064414},
journal = {Physical Review B},
number = 6,
volume = 99,
place = {United States},
year = {2019},
month = {2}
}

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