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Far Eastern Federal University
English level: С1
Major for an applicant:
Theoretical physics, statistical mechanics, numerical physical experiments, theoretical physics of magnetism and magnetic phenomena, supercomputer technologies in physics, high-performance calculations and algorithms in theoretical physics, multithread programming
02.06.01 Computer and Information Sciences
03.06.01 Physics and Astronomy
Grant RFBR №19-01-20056, 05.07.2019 organization of conference applied mathematics.
Head of the project №ГСГК-30/18 from 05.07.2018 on the elaboration of the education program of master’s level.
Head of scientific research project №3.7383.2017/8.9 “Magnetic properties and multiscale structure of nanomaterials”. 2017-2019.
Head of scientific research project № 12-07-13000-18/13. 2013-2014. Elaboration and program realization of high-performance algorithms”
Research grant of Federal Aim Program №07.514.11.4013. 2011
Research grant of DAAD 2007
Theory of spin and macrospin ices. Spin glasses.
Theory of magnetism and magnetic phenomena.
Frustrated magnetism of condensed matter.
Magnetic order and disorder, phase transitions.
In recent years, in the theory of magnetism, under the influence of an increasing number of experimental studies, a rapidly
developing area about frustration in magnets of various dimensions has arisen. Many new exotic phenomena generated by
frustrations have not yet been adequately explained. There is not even a generally accepted definition of frustration. And, as a
result, neither a qualitative nor a quantitative measure (degree) of frustrations is defined.
Frustrations are usually defined as competition between interactions, which makes it impossible to satisfy all interactions. The
term “frustration” was first applied to magnets by Gerard Toulouse in 1977. The interaction energy of a pair of magnetic
moments in the general case depends on the distance between them. The total energy of all pair interactions in the system
characterizes the microstate or the configuration of the system. For vector models, the energy value of each pair of
interacting moments is fixed, only the sign can change depending on their relative orientation. In the Ising model, a pair of
magnetic moments is frustrated, has an unsatisfied connection if the energy of their interaction has a positive sign, so
frustration in this vector model is elementary excitation.
Special microstates or configurations are ground states. They correspond to the energy value of the relative minimum
(minimum with respect to all existing permitted energy values). In the Ising model, exact solutions were obtained for some
of the simplest antiferromagnetic lattices and it was shown that the magnetic order and macroscopic degeneracy of the
ground state energy, which are considered the main signs of frustration, were absent. In the configuration of the ground state,
the number of excitations or frustrations is minimal.
The value of the total interaction energy of the system of magnetic moments will be an absolute minimum only if all the
energies of pairwise interactions of the moments are negative. The absolute minimum energy for frustrated systems lies in
the forbidden zone since there is no configuration of magnetic moments with such interaction energy. The ground state of
frustrated magnets is excited, which leads to the existence of many new exotic phenomena in the thermodynamics of spin
ice and spin glasses. The determination of a qualitative and quantitative measure of excitations in the ground state can make
it possible to predict new exotic phenomena, the source of which are frustrations.
However, to calculate the quantitative measure of frustrations, it is necessary to know the energy values of the absolute
minimum and the ground state. Solving the problem of finding the ground states and studying the thermodynamic properties
of frustrated systems even in the simplest model - in the Ising model is associated with serious difficulties in theoretical
analysis and numerical calculations. This task can be even indefinitely polynomial difficult. Finding a polynomially fast
ground-state search algorithm is a defining problem in the theory of frustrated magnetism. The ground state of
antiferromagnetic models with the interaction of nearest neighbors on lattices of specific geometries defies all theoretical and numerical methods used to date.
Fundamental studies of the statistical mechanics of frustrated systems, the thermodynamics of spin ice and spin glasses
suggest the further development of thе software for high-performance supercomputers and heterogeneous computing
clusters, the development of methods and algorithms for numerical calculation, and the further development of the theory of frustrated magnets.
We will elaborate on the high-performance supercomputer algorithms for research of order and disorder in condensed matter.
Supervisor’s specific requirements:
C++, CUDA, MPI
Supervisor’s main publications:
59 Web of Science and Scopus
1. Andriushchenko P., Soldatov K., Peretyatko A., Shevchenko Y., Nefedev K., Otsuka H., Okabe Y., LARGE PEAKS IN THE
ENTROPY OF THE DILUTED NEAREST-NEIGHBOR SPIN-ICE MODEL ON THE PYROCHLORE LATTICE IN A  MAGNETIC
FIELD, Physical Review E, Volume 99, Issue 2, 2019, DOI: 10.1103/PhysRevE.99.022138
2. Otsuka Н., Оkabe Y, Nefedev К., HUSIMI-CACTUS APPROXIMATION STUDY ON THE DILUTED SPIN ICE, Physical Review E, Volume 97 (4), 2018, 042132, DOI: 10.1103/PhysRevE.97.042132
3. Peretyatko A., Nefedev K., Okabe Y., INTERPLAY OF DILUTION AND MAGNETIC FIELD IN THE NEAREST-NEIGHBOR SPIN-ICE
MODEL ON THE PYROCHLORE LATTICE, Physical Review B, Volume 95, Issue 14, 2017., p. 144410., DOI: 10.1103/PhysRevB.95.144410
4. Shevchenko Yuriy; Nefedev Konstantin; Okabe Yutaka, Entropy of diluted antiferromagnetic Ising models on frustrated lattices using the Wang-Landau method, Physical Review E Volume: 95 Issue: 5, 2017, DOI: 10.1103/PhysRevE.95.052132
5. Soldatov K., Peretyatko A., Andriushchenko P., Nefedev K., Okabe Y., COMPARISON OF DILUTED ANTIFERROMAGNETIC
ISING MODELS ON FRUSTRATED LATTICES IN A MAGNETIC FIELD, Physics Letters, Section A: General, Atomic and Solid State Physics, Volume 383, Issue 12, 2019, Pages 1229-1234, DOI: 10.1016/j.physleta.2019.01.037
Results of intellectual activity:
An approach to the numerical calculation of the probability density of states of vector models was developed. Prof. Dr. Konstantin Nefedev created
software packages for numerical simulation of the processes of freezing disorder in spin and macrospin glass. These scientific soft allows to
calculate the critical values of the external magnetic field, at which transitions between the Ising spin microstates are possible