skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Electronic structure and the origin of the Dzyaloshinskii-Moriya interaction in MnSi

Journal Article · · Physical Review B
 [1];  [2]
  1. Univ. of Missouri, Columbia, MO (United States)
  2. Univ. of Missouri, Columbia, MO (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Here, the metallic helimagnet MnSi has been found to exhibit skyrmionic spin textures when subjected to magnetic fields at low temperatures. The Dzyaloshinskii-Moriya (DM) interaction plays a key role in stabilizing the skyrmion state. With the help of first-principles calculations, crystal field theory and a tight-binding model we study the electronic structure and the origin of the DM interaction in the B20 phase of MnSi. The strength of $$\vec{D}$$ parameter is determined by the magnitude of the spin-orbit interaction and the degree of orbital mixing, induced by the symmetry-breaking distortions in the B20 phase. We find that, strong coupling between Mn-$$d$$ and Si-$$p$$ states lead to a mixed valence ground state $$|d^{7-x}p^{2+x}\rangle$$ configuration. The experimental magnetic moment of $$0.4~\mu_B$$ is consistent with the Coulomb-corrected DFT+$$U$$ calculations, which redistributes electrons between the majority and minority spin channels. We derive the magnetic interaction parameters $$J$$ and $$\vec{D}$$ for Mn-Si-Mn superexchange paths using Moriya's theory assuming the interaction to be mediated by $$e_g$$ electrons near the Fermi level. Finally, using parameters from our calculations, we get reasonable agreement with the observations.

Research Organization:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC05-00OR22725; FG02-00ER45818
OSTI ID:
1252152
Alternate ID(s):
OSTI ID: 1250555
Journal Information:
Physical Review B, Vol. 93, Issue 19; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 26 works
Citation information provided by
Web of Science

References (35)

A unified field theory of mesons and baryons journal March 1962
Writing and Deleting Single Magnetic Skyrmions journal August 2013
Dzyaloshinskii-Moriya Interaction and Hall Effects in the Skyrmion Phase of Mn 1 x Fe x Ge journal July 2015
Skyrmion Lattice in a Chiral Magnet journal February 2009
Near room-temperature formation of a skyrmion crystal in thin-films of the helimagnet FeGe journal December 2010
Electronic energy band structure of MnSi journal January 1980
Theory of helical magnetic structures and phase transitions in MnSi and FeGe journal November 1980
Correlations and the Magnetic Moment of MnSi journal April 2008
A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics journal January 1958
Anisotropic Superexchange Interaction and Weak Ferromagnetism journal October 1960
Magnetic excitations in the weak itinerant ferromagnet MnSi journal December 1977
Electronic structure of MnSi: The role of electron-electron interactions journal February 2006
Fermi surface symmetry and evolution of the electronic structure across the paramagnetic-helimagnetic transition in MnSi/Si(111) journal August 2015
Implications of the B20 crystal structure for the magnetoelectronic structure of MnSi journal August 2004
Exchange interactions and critical temperature of bulk and thin films of MnSi: A density functional theory study journal September 2008
Origin and consequences of unpinned helical order: Application to MnSi under pressure journal January 2009
Frustrated magnetic helices in MnSi-type crystals journal January 2012
Weak Antiferromagnetic Ordering Induced by Dzyaloshinskii-Moriya Interaction and Pure Magnetic Reflections in MnSi-Type Crystals journal May 2012
Weak ferromagnetism in Mn nanochains on the CuN surface journal April 2009
Ab initiomolecular dynamics for liquid metals journal January 1993
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Generalized Gradient Approximation Made Simple journal October 1996
Band structure and semiconducting properties of FeSi journal May 1993
Quasicrystals and their approximants: dodecahedral local ordering versus canonical-cell description journal July 1994
Theory of Brillouin Zones and Symmetry Properties of Wave Functions in Crystals journal July 1936
The absorption spectrum of vanadium corundum journal January 1958
New Approach to the Theory of Superexchange Interactions journal July 1959
Theory of superexchange in antiferromagnetic insulators journal March 1988
Weak antiferromagnetism due to Dzyaloshinskii-Moriya interaction in Ba 3 Cu 2 O 4 Cl 2 journal December 2000
Moriya Interaction and the Problem of the Spin Arrangements in β MnS journal May 1962
Theoretical model for Rashba spin-orbit interaction in d electrons journal October 2014
Magnetic structure of MnSi under an applied field probed by polarized small-angle neutron scattering journal December 2006
Skyrmion Lattice in a Chiral Magnet text January 2009
Weak antiferromagnetism due to Dzyaloshinskii-Moriya interaction in Ba$_3$Cu$_2$O$_4$Cl$_2$ text January 2000
Implications of the B20 Crystal Structure for the Magneto-electronic Structure of MnSi text January 2004

Cited By (4)

Effect of size confinement on skyrmionic properties of MnSi nanomagnets journal January 2018
Muon contact hyperfine field in metals: A DFT calculation journal May 2018
Electronic Structure and Magnetic Phase Transition in Helicoidal Fe1 - xCo x Si Ferromagnets journal February 2018
Electronic Structure of B20 (FeSi-Type) Transition-Metal Monosilicides journal August 2019

Similar Records

Exploring the origins of the Dzyaloshinskii-Moriya interaction in MnSi
Journal Article · Tue Dec 19 00:00:00 EST 2017 · Physical Review B · OSTI ID:1252152

Potential Skyrmion Host Fe(IO3)3: Connecting Stereoactive Lone-Pair Electron Effects to the Dzyaloshinskii-Moriya Interaction
Journal Article · Thu Jun 03 00:00:00 EDT 2021 · Chemistry of Materials · OSTI ID:1252152

Cubic magnets with Dzyaloshinskii-Moriya interaction at low temperature
Journal Article · Mon May 01 00:00:00 EDT 2006 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:1252152