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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Ground state of the classical frustrated heisenberg ferromagnet in a magnetic field
Коллективы : Moscow International Symposium on Magnetism, Московский государственный университет им. М.В. Ломоносова, Российский фонд фундаментальных исследований
Место публикации : Moscow International Symposium on Magnetism (MISM-2017): 1-7 July 2017 : book of abstracts. - 2017. - Ст.4PO-K-37. - P.939 (Шифр 29916280)
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Anharmonic states of the one-dimensional anisotropic Heisenberg model with free boundary conditions
Место публикации : Theor. Math. Phys.: PLENUM PUBL CORP, 1998. - Vol. 117, Is. 3. - P1499-1506. - ISSN 0040-5779, DOI 10.1007/BF02557187
Примечания : Cited References: 6
Предметные рубрики: STRING HYPOTHESIS
Аннотация: States described by anharmonic functions are shown to exist in the one-dimensional anisotropic Heisenberg model with a finite number of spins 1/2 and free boundary conditions. Several such, states are determined.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Antisymmetric Exchange in the CuB2O4 A Subsystem
Место публикации : JETP Letters. - 2009. - Vol. 90, Is. 1. - P.55-58. - ISSN 0021-3640, DOI 10.1134/S0021364009130116
Примечания : Cited References: 31
Предметные рубрики: TRANSVERSE MAGNETIC-FIELD
FLUCTUATION-INDUCED PHASE
COPPER METABORATE
ANTIFERROMAGNETIC CHAINS
SOLITON LATTICE
INDUCED GAP
SPIN-WAVES
BA2CUGE2O7
CSCUCL3
MNSI
Аннотация: The space distribution of the components of the microscopic Hamiltonian of the antisymmetric Dzyaloshinskii-Moriya exchange with respect to the exchange bond pairs of the A subsystem of Cu2+ ions in the crystallographic 4b positions of CuB2O4 has been obtained using symmetry analysis. The possibility of the coexistence of two different types of the exchange spatial distribution is demonstrated. The component of the anti-symmetric exchange vector D parallel to the tetragonal axis has a weakly ferromagnetic distribution for all of the directions of the bonds between the nearest magnetic neighbors. Each exchange bond has an additional component of the antisymmetric exchange parallel to the bond projection on the tetragonal plane. The spatial distribution of these components is helicoidal with the modulation vector in the tetragonal crystal plane.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N., Tugarinov V. I., Martynov A. S.
Заглавие : Continual approach at T=0 in the mean field theory of incommensurate magnetic states in the frustrated Heisenberg ferromagnet with an easy axis anisotropy
Коллективы : Euro-Asian Symposium "Trends in MAGnetism", "Trends in MAGnetism", Euro-Asian Symposium, Институт физики им. Л.В. Киренского Сибирского отделения РАН
Место публикации : J. Magn. Magn. Mater.: Elsevier Science, 2017. - Vol. 440: EURO-Asian Symposium on Trends in Magnetism (EASTMAG) (AUG 15-19, 2016, Siberian Fed Univ, Krasnoyarsk, RUSSIA). - P.47-49. - ISSN 0304-8853, DOI 10.1016/j.jmmm.2016.12.086. - ISSN 1873-4766(eISSN)
Примечания : Cited References:9
Предметные рубрики: FERRIMAGNET
Аннотация: The algorithm of approximate solution was developed for the differential equation describing the anharmonical change of the spin orientation angle in the model of ferromagnet with the exchange competition between nearest and next nearest magnetic neighbors and the easy axis exchange anisotropy. The equation was obtained from the collinearity constraint on the discrete lattice. In the low anharmonicity approximation the equation is resulted to an autonomous form and is integrated in quadratures. The obvious dependence of the angle velocity and second derivative of angle from angle and initial condition was derived by expanding the first integral of the equation in the Taylor series in vicinity of initial condition. The ground state of the soliton solutions was calculated by a numerical minimization of the energy integral. The evaluation of the used approximation was made for a triple point of the phase diagram.
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Martynov S. N., Tugarinov V. I., Martynov A. S.
Заглавие : Continual approach at T=0 in the mean field theory of incommensurate magnetic states in the frustrated Heisenberg magnet with an easy axis anisotropy
Коллективы : Euro-Asian Symposium "Trends in MAGnetism", "Trends in MAGnetism", Euro-Asian Symposium, Институт физики им. Л.В. Киренского Сибирского отделения РАН
Место публикации : VI Euro-Asian Symposium "Trends in MAGnetism" (EASTMAG-2016): abstracts/ ed.: O. A. Maksimova, R. D. Ivantsov. - Krasnoyarsk: KIP RAS SB, 2016. - Ст.O1.15. - P.54. - ISBN 978-5-904603-06-9 (Шифр -478014040)
Примечания : References: 2
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N., Tugarinov V. I., Martynov A. S.
Заглавие : Continual approach in the mean field theory of incommensurate magnetic states in the Frustrated Heisenberg ferromagnet
Место публикации : J. Sib. Fed. Univ. Math. Phys. - 2017. - Vol. 10, Is. 1. - P.55-59. - ISSN 1997-1397, DOI 10.17516/1997-1397-2017-10-1-55-59; Журн. СФУ. Сер. "Математика и физика"
Примечания : Cited References: 3
Аннотация: The algorithm of approximate solution has been developed for the differential equation describing the anharmonical change of the spin orientation angle in the model of ferromagnet with the exchange competition between nearest and next nearest magnetic neighbors and the easy axis exchange anisotropy. The obvious dependence of the angle velocity from angle and initial condition has been derived by expanding the first integral of the equation in the Taylor series in vicinity of initial condition. © Siberian Federal University. All rights reserved.Разработан алгоритм приближенного решения дифференциального уравнения, описывающего ангармоническое изменение угла ориентации спина в модели легкоосного ферромагнетика с конкуренцией обменов между ближайшими и следующими за ближайшими магнитными соседями. Явная зависимость угловой скорости от угла и начального условия получена путем разложения первого интеграла уравнения в ряд Тейлора в окрестности начального условия
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Exact two-magnon solutions of the one-dimensional isotropic Heisenberg model and string hypothesis
Место публикации : Phys. Lett. A. - 1996. - Vol. 219, Is. 5-6. - P.329-334. - ISSN 0375-9601, DOI 10.1016/0375-9601(96)00470-7
Примечания : Cited References: 5
Ключевые слова (''Своб.индексиров.''): heisenberg model--two-magnon states--bethe ansatz--resonance absorption
Аннотация: By means of the exact solution of the Schrodinger equation the eigenfunctions and eigenvalues of the energy for two-magnon states in the one-dimensional isotropic Heisenberg spin chain of N spins-1/2 were found. It is shown that symmetrical and antisymmetrical complex solutions have different K-dependences of the energy. Exact values of the quasi-momentum for both branches are compared with a string hypothesis prediction and solutions of the Bethe ansatz equations. With the help of the obtained solutions it was shown that resonance absorption leads to a change in momentum of the existing magnon and excitation of the magnon whose momentum is different from the absorption momentum.
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Field-induced helical magnetic structure in the two-subsystem frustrated antiferromagnet
Коллективы : Moscow International Symposium on Magnetism, Московский государственный университет им. М.В. Ломоносова, Российский фонд фундаментальных исследований
Место публикации : Moscow Int. Symp. on Magnet. (MISM-2008): June 20-25, 2008, Moscow : book of abstract. - 2008. - Ст.23PO-12-17. - p.521
Примечания : Библиогр.: 2
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Flat and conical incommensurate magnetic structures in the two-subsystem partially frustrated Heisenberg ferrimagnet
Место публикации : J. Magn. Magn. Mater.: Elsevier, 2016. - Vol. 398. - P.121-126. - ISSN 0304-8853, DOI 10.1016/j.jmmm.2015.09.046
Примечания : Cited References: 21
Предметные рубрики: Spin-wave spectrum
Phase 10 K
Copper metaborate
Classical-theory
State
Ключевые слова (''Своб.индексиров.''): incommensurate magnetic structures--phase transitions--ferrimagnets
Аннотация: The phase transitions into flat and conical incommensurate magnetic structures are considered for a ferrimagnet with the dominant nonfrustrated exchange between the spins in one crystallographic position, competing exchanges between the spins in another position and frustrated exchange between the spins in different positions. The appearance conditions and the temperatures of the second order phase transitions are analytically obtained in the mean field approximation. The first order phase transition between these states is studied and the phase diagrams of temperature vs frustrated exchanges are calculated by the numerical minimization of free energy.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N., Balaev A. D.
Заглавие : Frustration mechanism of formation of a helical magnetic structure in the CuB2O4 two-subsystem antiferromagnet
Место публикации : JETP Letters. - 2007. - Vol. 85, Is. 12. - P.649-654. - ISSN 0021-3640, DOI 10.1134/S0021364007120132
Примечания : Cited References: 21
Предметные рубрики: PHASE 10 K
COPPER METABORATE
LATTICE
Аннотация: A new mechanism is proposed for forming an incommensurate magnetic structure of the transverse helix type owing to the removal of frustration through intersubsystem exchange in a two-subsystem antiferromagnet. The symmetry analysis of the distribution of the Dzyaloshinskii-Moriya interaction and comparison with the experimental data on the field dependence of magnetization indicate that antisymmetric exchange and competition between symmetric exchanges cannot be responsible for forming a helical magnetic structure in CuB2O4.
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11.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Ground State of a Two-Sublattice Anisotropic Ferromagnet in a Magnetic Field
Коллективы : Russian Foundation for Basic ResearchRussian Foundation for Basic Research (RFBR); Krasnoyarsk Territorial Foundation [20-42-240006]
Место публикации : Phys. Solid State. - 2021. - Vol. 63, Is. 8. - P.1253-1261. - ISSN 1063-7834, DOI 10.1134/S1063783421080199. - ISSN 1090-6460(eISSN)
Примечания : Cited References: 38. - This study was supported by the Russian Foundation for Basic Research and the Krasnoyarsk Territorial Foundation for Support of Scientific and R&D Activities, project no. 20-42-240006 "Synthesis and Study of Pb2+-and Bi3+Containing Oxide Single Crystals with Partial Substitution in One of the Subsystems: Magnetic Structures and Magnetodielectric Effect"
Предметные рубрики: ANTIFERROMAGNETIC-RESONANCE
SUPEREXCHANGE INTERACTION
WEAK FERROMAGNETISM
Аннотация: The ground state of a classical two-sublattice ferromagnet with the noncollinear single-ion anisotropy axes of the sublattices and the antisymmetric and anisotropic symmetric exchanges between them has been investigated in a magnetic field applied along the hard magnetization directions in the crystal. The threshold relations for the parameters of the anisotropic interactions have been obtained, which determine the choice of the ground state among the three possible magnetic phases. Depending on the ground state type and the field direction, the transition between the phases is a first- or second-order phase transition. The antisymmetric exchange value above which the reorientation between the noncollinear phases ends with a second-order transition depends on the angle between the local easy axes and the single-ion anisotropy value. Field dependences of the magnetization and susceptibility for different ground states have been calculated. A comparison with the results of the magnetic measurements in the highly anisotropic PbMnBO4 ferromagnet has been made.
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12.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N., Tugarinov V. I.
Заглавие : Ground state of an antiferromagnet with uniform antisymmetric exchange in a magnetic field
Место публикации : JETP Letters. - 2010. - Vol. 92, Is. 2. - P.115-119. - ISSN 0021-3640, DOI 10.1134/S0021364010140092
Примечания : Cited References: 12
Предметные рубрики: INCOMMENSURATE
TRANSITION
ORDER
Аннотация: A system of two nonlinear differential equations for sublattice angles is proposed to describe the spin orientation distribution in a planar antiferromagnet with uniform antisymmetric exchange in a magnetic field. This system involves the initial symmetry of the problem and is reduced to a single delay differential equation. The solutions of this system are parameterized by the initial condition imposed on the angle of one sublattice at the hyperbolic singular point of the phase space. The numerical analysis of the stability boundary of soliton solutions demonstrates that the transition to the commensurate phase takes place outside the region where the stochastic solutions appear and is accompanied by the magnetization jump Delta m similar to 10(-1) m.
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13.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Ground state of orthorombic weak antiferromagnet PbMnBO4 with frustrated single-ion anisotropy
Коллективы : Российская академия наук, Уральское отделение РАН, Институт физики металлов им. М. Н. Михеева Уральского отделения РАН, Уральский федеральный университет им. первого Президента России Б.Н. Ельцина, Российский фонд фундаментальных исследований, Euro-Asian Symposium "Trends in MAGnetism", "Trends in MAGnetism", Euro-Asian Symposium
Место публикации : Euro-asian symposium "Trends in magnetism" (EASTMAG-2019): Book of abstracts/ чл. конс. ком.: S. G. Ovchinnikov, N. V. Volkov [et al.] ; чл. прогр. ком. D. M. Dzebisashvili [et al.]. - 2019. - Vol. 1. - Ст.G.P10. - P.578-579. - ISBN 978-5-9500855-7-4 (Шифр В33/E12-125657784)
Примечания : Cited References: 2. - The study was funded by RFBR and the Government of Krasnoyarsk Territory, Krasnoyarsk Regional Fund of Science, to the research project no. 18-42-240008
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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Ground state of the orbitally ordered PbMnBO4 ferromagnet
Место публикации : JETP Letters. - 2022. - Vol. 115, Is. 11. - P.679-684. - ISSN 00213640 (ISSN), DOI 10.1134/S0021364022600860
Примечания : Cited References: 40
Аннотация: The ground state of the four-sublattice PbMnBO4 ferromagnet is investigated taking into account the symmetry of the crystal and the spatial distribution of the orbital states of the Mn3+ ions. By numerical minimization of the energy of the ground state of the classical model with three types of anisotropy—single-ion, dipole–dipole, and Dzyaloshinskii–Moriya interaction—the anisotropic interaction parameters for magnetic phases with different orientations of the total magnetization in the crystal are obtained. It is demonstrated that the experimentally observed state with the magnetization directed along the a orthorhombic axis becomes the ground state only in the presence of antisymmetric anisotropic exchange.
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15.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Incommensurate magnetic structures in rhombohedral Heisenberg antiferromagnet
Место публикации : JETP Letters. - 2013. - Vol. 98, Is. 1. - P.19-23. - 5. - ISSN 0021-3640, DOI 10.1134/S0021364013140099
Примечания : Cited References: 31
Предметные рубрики: DISORDER
Аннотация: The phase diagram of the ground state has been calculated for a rhombohedral antiferromagnet of the R3m symmetry with frustrated exchange in the base plane and competition of exchanges between the nearest and next-nearest planes. The diagram contains phases of collinear antiferromagnetic ordering of various types separated by five incommensurate magnetic states of the helicoidal type, differing in the ordering type and in the direction of the modulation vector. The commensurate and incommensurate phases converge at multi-critical points lying on a line corresponding to an antiferromagnet with an undistorted simple cubic lattice.
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16.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Incommensurate magnetic structures in the rhombohedrally distorted cubic lattice
Коллективы : Euro-Asian Symposium "Trends in MAGnetism": Nanomagnetism
Место публикации : Solid State Phenom.: Selected, peer reviewed papers/ ed.: S. G. Ovchinnikov, A. Samardak: Trans Tech Publications, 2014. - Vol. 215: Trends in Magnetism: Nanomagnetism (EASTMAG-2013). - P.61-65. - ISSN 978-303835054-5, DOI 10.4028/www.scientific.net/SSP.215.61. - ISSN 1662-9779
Примечания : Cited References: 8
Ключевые слова (''Своб.индексиров.''): frustration of exchange interactions--incommensurate magnetic structures
Аннотация: The ground state of a rhombohedrally distorted magnetic cubic lattice with frustrated exchange in the thriangular base plane of spins and competition of exchanges between the nearest and next nearest planes was investigated. The dependence of helix vector components on the exchange parameters was calculated. The phase diagram of ground state was obtained. © (2014) Trans Tech Publications, Switzerland.
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17.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Incommensurate magnetic structures in the rhombohedrally distorted cubiclattice
Коллективы : Euro-Asian Symposium "Trends in MAGnetism": Nanomagnetism
Место публикации : V Euro-Asian simposium "Trend in MAGnetism": Nanomagnetism: abstracts. - Vladivostok: FEFU, 2013. - С. 162. - ISBN 978-5-7444-3124-2
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18.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Incommensurate structures in a two-subsystem partially frustrated ferrimagnet
Место публикации : JETP Letters. - 2012. - Vol. 95, Is. 4. - P.188-192. - ISSN 0021-3640, DOI 10.1134/S0021364012040066
Примечания : Cited References: 23. - This work was supported by the Russian Foundation for Basic Research (project no. 10-02-00765).
Предметные рубрики: CLASSICAL-THEORY
MAGNETIC-FIELD
ANTIFERROMAGNET
CUB2O4
STATE
Аннотация: A new incommensurate magnetic structure with a locally triangular orientation of spins has been proposed for a two-subsystem magnet with frustrated intersystem exchange and competition between exchanges in one of the subsystems. When the temperature is lowered, this structure appears from the antiferromagnetic state after a first-order phase transition. It transfers to the Yafet-Kittel triangular structure when the threshold conditions for the exchange interactions are fulfilled. An increase in the length of the frustrated exchange bonds leads to the appearance of an incommensurate phase with the local antiferromagnetic orientation of the sublattices in each subsystem between the commensurate antiferromagnetic and Yafet-Kittel phases.
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19.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Orbital ordering and frustrated anisotropy in PbMnBO4
Коллективы : Российская академия наук, Физико-технический институт им. Е.К. Завойского ФИЦ Казанского научного центра РАН, Казанский (Приволжский) федеральный университет, Euro-Asian Symposium "Trends in MAGnetism", "Trends in MAGnetism", Euro-Asian Symposium
Место публикации : VIII Euro-Asian symposium "Trends in magnetism" (EASTMAG-2022): Book of abstracts/ program com. S. G. Ovchinnikov [et al.]. - 2022. - Vol. 2, Sect. G: Frustrated and disordered magnetism. - Ст.G.O5. - P.9. - ISBN 978-5-94469-051-7
Примечания : Cited References: 3
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20.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Martynov S. N.
Заглавие : Orbital structure and magnetic phase diagram of the four-sublattice ferromagnet PbMnBO4
Место публикации : J. Magn. Magn. Mater. - 2023. - Vol. 570. - Ст.170520. - ISSN 03048853 (ISSN), DOI 10.1016/j.jmmm.2023.170520. - ISSN 18734766 (eISSN)
Примечания : Cited References: 20. - The author thanks A.D. Balaev for useful discussions of the magnetic measurements
Аннотация: A role of quadric and quartic single-ion anisotropy (SIA) of Mn3+-ions, dipole–dipole and Dzyaloshinsky–Moriya (DM) interactions for the magnetic ordering of the four-sublattice ferromagnet PbMnBO4 is investigated. A phase diagram of low-lying magnetic phases on the plane of the DM exchange components is obtained for different values of the SIA parameters. An effect of the isotropic interchain exchange on the spin orientation and, as a result, on the SIA energy in different magnetic phases is considered at the comparable values of the interactions. The determinative role of DM exchange for the magnetic anisotropy of PbMnBO4 is discussed.
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