35 citations · 142 across the 9 of their papers we have counts for
9 papers
Inflation rules for a chiral pentagonal quasiperiodic tiling of stars and hexes
Viacheslav A. Chizhikov
Hexagon-boat-star (HBS) pentagonal tilings often appear in the description of decagonal quasicrystals and their periodic approximants. Being related to the Penrose tiling, they dif…
The influence of antiferromagnetic spin cantings on the magnetic helix pitch in cubic helimagnets
Viacheslav A. Chizhikov, Vladimir E. Dmitrienko
In cubic helimagnets MnSi and Cu2OSeO3 with their nearly isotropic magnetic properties, the magnetic structure undergoes helical deformation, which is almost completely determined…
An infinite family of -like metastable phases in silicon
Vladimir E. Dmitrienko, Viacheslav A. Chizhikov
We show that new silicon crystalline phases, observed in the experiment with the laser-induced microexplosions inside silicon crystals (Rapp et al. // Nat. Commun. 6, 7555 (2015)),…
The hidden order in URu2Si2: Symmetry-induced anti-toroidal vortices
Vladimir E. Dmitrienko, Viacheslav A. Chizhikov
We discuss possible approaches to the problem of the URu2Si2 "Hidden Order" (HO) which remains unsolved after tremendous efforts of researches. Suppose there is no spatial symmetry…
Antiferromagnetic spin cantings as a driving force of ferroelectricity in multiferroic Cu2OSeO3
Viacheslav A. Chizhikov, Vladimir E. Dmitrienko
Ferroelectric properties of cubic chiral magnet Cu2OSeO3 can emerge due to the spin noncollinearity induced by antiferromagnetic cantings. These cantings are the result of the Dzya…
Microscopic description of twisted magnetic Cu2OSeO3
Viacheslav A. Chizhikov, Vladimir E. Dmitrienko
Twisted structures of chiral cubic ferromagnetics MnSi and CuOSeO can be described both in the frame of the phenomenological Ginzburg-Landau theory and using the microscopi…
Multi-shell contribution to the Dzyaloshinskii-Moriya spiralling in MnSi-type crystals
Viacheslav A. Chizhikov, Vladimir E. Dmitrienko
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 exc…
Weak antiferromagnetic ordering and pure magnetic reflections induced by Dzyaloshinskii-Moriya interaction in MnSi-type crystals
Vladimir E. Dmitrienko, Viacheslav A. Chizhikov
Symmetry analysis of the Dzyaloshinskii-Moriya (DM) interaction in MnSi-type cubic crystals demonstrates that the magnetic moments are tilted periodically, producing a weak antifer…
Frustrated magnetic helices in MnSi-type crystals
Viacheslav A. Chizhikov, Vladimir E. Dmitrienko
The spiral magnetic order in cubic MnSi-type crystals is considered using the model of classical Heisenberg ferromagnetics with an extra interaction of the Dzyaloshinskii-Moriya (D…