Multi-shell contribution to the Dzyaloshinskii-Moriya spiralling in MnSi-type crystals

Abstract

The transition from the microscopic Heisenberg model to the macroscopic elastic theory is carried out for the chiral magnetics of MnSi-type with the B20 crystal structure. Both exchange and Dzyaloshinskii-Moriya (DM) interactions are taken into account for the first, second, and third magnetic neighbors. The particular components of the DM vectors of bonds are found, which are responsible for (i) the global magnetic twist and (ii) the canting between four different spin sublattices. A possible mechanism for effective reinforcement of the global magnetic twist is suggested: it is demonstrated that the components of the DM vectors normal to corresponding interatomic bonds become very important for the twisting power. The Ruderman-Kittel-Kasuya-Yosida (RKKY) theory is used for model calculation of exchange parameters. It is found that just the interplay between the exchange parameters of several magnetic shells rather than the signs of DM vectors can be responsible for the concentration-induced reverse of the magnetic chirality recently observed in the Mn_(1-x)Fe_xGe crystals.

23 pages, 6 figures

References in corpus (8)

• Spontaneous Skyrmion Ground States in Magnetic Metals
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Long wavelength helimagnetic order and skyrmion lattice phase in Cu2OSeO3
• Skyrmions with varying size and helicity in composition-spread helimagnetic alloys
• Theory of the helical spin crystal: a candidate for the partially ordered state of MnSi
• Strong Dzyaloshinskii-Moriya Interaction and Origin of Ferroelectricity in Cu2OSeO3
• Origin and consequence of an unpinned helical magnet: application to partial order in MnSi under pressure
• A microscopic model for spiral ordering along (110) on the MnSi lattice

Cited by in corpus (15)

• The quantum origins of skyrmions and half-skyrmions in Cu2OSeO3
• New spiral state and skyrmion lattice in 3D model of chiral magnets
• Structural disorder versus chiral magnetism in Cr${}_{1/3}$NbS${}_2$
• Microscopic description of twisted magnetic Cu2OSeO3
• Determination of the zero-field magnetic structure of the helimagnet MnSi at low temperature
• Fragile balance of the exchange interactions in Mn${}_{1-x}$Co${}_x$Ge compounds
• Long period helical structures and twist-grain boundary phases induced by non magnetic ion doping in Mn${}_{1-x}$(Co,Rh)${}_x$Ge chiral magnet
• Normal Modes of a Spin Cycloid or Helix
• Magnetism and spin dynamics of an S=3/2 frustrated trillium lattice antiferromagnet K2CrTi(PO4)3
• Unconventional magnetic order in the conical state of MnSi
• Dzyaloshinskii-Moriya-type interaction and Lifshitz invariant in Rashba 2D electron gas systems
• Onset of a skyrmion phase by chemical substitution in MnGe chiral magnet
• Micromagnetic description of twisted spin spirals in the B20 chiral magnet FeGe from first principles
• Antiferromagnetic spin cantings as a driving force of ferroelectricity in multiferroic Cu2OSeO3
• The influence of antiferromagnetic spin cantings on the magnetic helix pitch in cubic helimagnets