Theory of Complex Systems and Advanced Materials
Leaders:  V.A. Osipov A.M. Povolotskii 
Participating countries and international organizations: Armenia, Australia, Austria, Azerbaijan, Belarus, Belgium, Brazil, Bulgaria, Canada, Czech Republic,
Denmark, Egypt, France,
Germany, Hungary, India, Iran, Ireland, Italy, Japan, Mongolia, New Zealand, Poland, Republic of Korea,
Romania, Russia, Serbia, Slovakia, Slovenia, South Africa, Spain, Switzerland, Taiwan,
Ukraine, USA, Uzbekistan, Vietnam.
Issues addressed and main goals of research: Development of analytical and numerical methods for studying complex manybody systems that are of current interest in modern condensed matter physics,
the development of mathematical models of these systems and the identification of universal laws on the example of studied models.
Analysis of both lattice and fieldtheory models of equilibrium and nonequilibrium statistical systems and modeling of a wide class of new materials,
including nanostructured materials, which are of great practical importance. The concepts of scaling and universality allow one to go beyond the model approach and to apply
the results obtained to broad classes of phenomena studied in the physics of condensed matter. The results obtained will be used in carrying out experimental studies of condensed
matter at JINR. It is important to note the markedly growing interdisciplinary nature of research, where condensed matter physics and statistical physics closely intersect with atomic
and nuclear physics, particle physics, mathematical physics, astrophysics, and biology.
Expected major results in the current year:
 Investigation of stronglycorrelated electron superconductivity within the tJ model on the twodimensional honeycomb lattice: determination
of the superconducting order parameter symmetry and calculation of the superconducting transition temperature.
Model and ab initio calculations of magnetic and electronic band structure of rareearth metals under high external presure.
Structural investigations of mass and surface fractals at nano and microscale using the smallangle scattering technique.
Study of the BoseHubbard model with repulsive interactions and its classical limit, discrete nonlinear Schroedinger equation, at negative temperatures.
Investigation of the possibility of regulating spin dynamics in dipolar and spinor systems by using the quadratic Zeeman effect.
Development of the theory of fast magnetization reversal by influencing effective magnetic anisotropy with the help of external alternating fields.
 Investigation of the effect of strong magnetic field in changing the electronic structure of the
holedoped cuprates; revealing of the role of the superconducting fluctuations in the formation
of the pseudogap Fermi surface consisting of electronlike nodal pockets.
Study of the transport properties of Weylsemimetal/superconductor junctions in the presence of the external magnetic field.
Investigation of the dynamics and currentvoltage characteristics of superconductor  ferromagnet  superconductor structures for superconducting
spintronics. Manifestation of the Kapitza pendulum features in these structures. Development of a model "nanomagnet + stack of interinsic Josephson junctions".
Investigation of the possibility of synchronizing a system of coupled Josephson junctions under the influence of a single
nanomagnet and a chain of coupled nanomagnets.
Calculation of the density of states, conductivity and electron mobility in fluorinated graphene and phosphorene taking into account the influence of various types of
defects and electronphonon interaction. Calculation of the concentration and temperature dependences of the electron mobility in polycrystalline graphene.
Analysis of the thermoelectric transport coefficients of polycrystalline graphene.
Calculation of a conductivity of electrolyte field effect transistors based on various types
of lowdimensional structures, for example carbon nanotubes, graphene nanoribbon, phosphorene,
hexagonal boron nitride and their heterostructures with biomoleculesdetectors, such as DNAzymes,
antibodies, etc. Investigation of the influence of different concentrations of detected material on
the conductivity.
Investigation of the time behavior of quantum correlations between various
structural elements in a quasionedimensional macromolecular
structure, including their entanglement, depending on the
initial vibronic excitation of the macromolecule.
 Derivation of exact expressions for the cumulants of an avalanche flow in the Raise and Peel model.
Calculation of the second cumulant of the particle flow in the qboson zero range
process. Analysis of its asymptotics and construction of the
function describing the KPZ  EdwardWillkinson crossover.
Investigation of the growth of the cluster of visited sites in the model of Eulerian walkers.
Characterization of the properties of the boundary of the growing cluster.
Calculation of the probability of formation of configurations with N bridges near
the boundary in the branching polymers model or spanning trees on
the lattice for the isotropic and anisotropic cases.
Finding of symmetries of elliptic hypergeometric integrals
generated by Bailey lemmas mixing the A_{n} and C_{n} root systems
and investigation of their consequences for superconformal indices of
fourdimensional supersymmetric quantum field theories.
Generalization and proof of the structure CayleyHamilton
theorems for classical infinite series of the quantum matrix
(super)algebras, investigation of the structure of the Cartan calculus for
the linear quantum groups in detail, i.e. description of the center
of the commutative subalgebras possibilities and consideration of a
possibility for the SLreduction.
Investigation of lowenergy limit of the (super)YangMills theories
in 4,5,6, dimensions compactified to the circle of the small radius of the
Riemann surface. Proof that the YangMills theories are
reduced to sigma models with target space depending on geometric
conditions imposed on gauge fields.
List of Activities   Activity or experiment  Leaders  
 Laboratory or other Division of JINR  Main researchers

1.  Complex materials and nanostructures  E. Anitas N.M. Plakida 


BLTP
 A.Yu. Cherny, A.L. Kuzemsky, Tung Nguen Dan,
A.A. Vladimirov, V.I. Yukalov, V.Yu. Yushankhai


FLNP
 V.L. Aksenov, A.M. Balagurov, D.P. Kozlenko,
A.I. Kuklin


LIT
 L.A. Syurakshina, E.P. Yukalova

2.  Complex materials and nanostructures  V.A. Osipov E.A. Kochetov 


BLTP
 A.V. Chizhov, A.A. Glebov, I.D. Ivantsov, V.L. Katkov, D.V. Kolesnikov,
S.E. Krasavin, K.V. Kulikov, M. Maiti, S.Yu. Medvedeva,
V.N. Plechko, I.R. Rahmonov, O.G. Sadykova, Yu.M. Shukrinov, J. Smotlacha,


FLNP
 V.L. Aksenov, A.M. Balagurov,
A.I. Kuklin


LIT
 I. Sarhadov, S.I. Serdyukova, E.B. Zemlianaya

3.  Contemporary problems of statistical physics  A.M. Povolotsky J. Brankov 


BLTP
 N.Zh. Bunzarova, A.E. Derbyshev, V.M. Dubovik, V.I. Inozemtsev, T.A. Ivanova,
V. Papoyan, P.N. Pyatov, V.P. Spiridonov, P.E. Zhidkov

Collaboration 
Country or International Organization  City  Institute or Laboratory 
Armenia
 Yerevan
 Foundation ANSL



 YSU



 IIAP NAS RA


Australia
 Melbourne
 Univ.


 Sydney
 Univ.


Austria
 Vienna
 TU Wien


 Linz
 JKU


Azerbaijan
 Baku
 Branch MSU


Belarus
 Minsk
 BSTU



 IP NASB



 ISEI BSU



 JIPNRSosny NASB



 SPMRC NASB


Belgium
 LouvainlaNeuve
 UCL


Brazil
 Brasilia, DF
 UnB


 Sao Paulo, SP
 USP


 Natal, RN
 IIP UFRN


Bulgaria
 Sofia
 IMech BAS



 INRNE BAS



 ISSP BAS



 SU


 Plovdiv
 PU


Canada
 Montreal
 Concordia


 Quebec
 UL


 Kingston
 Queen's


 London
 Western


Czech Republic
 Rez
 NPI CAS


Denmark
 Copenhagen
 DTU


Egypt
 Giza
 CU


France
 AnnecyleVieux
 LAPTh


 Paris
 UPMC


 Marseille
 CPT



 UPC


 Nice
 UN


 Valenciennes
 UVHC


Germany
 Bonn
 UniBonn


 Bremen
 Univ.


 Braunschweig
 TU


 Dortmund
 TU Dortmund


 Darmstadt
 GSI


 Dresden
 IFW



 MPI PkS



 TU Dresden


 Jena
 Univ.


 Leipzig
 UoC


 Magdeburg
 OVGU


 Rostock
 Univ.


 Wuppertal
 UW


Hungary
 Budapest
 Wigner RCP


India
 Mumbai
 TIFR


 Kolkata
 IACS


Iran
 Zanjan
 IASBS


Ireland
 Dublin
 DIAS


Italy
 Catania
 UniCT


 Salerno
 UNISA


Japan
 Utsunomiya
 UU


Mongolia
 Ulaanbaatar
 NUM


New Zealand
 Auckland
 Univ.


Poland
 Krakow
 JU


 Warsaw
 IPC PAS


 Wroclaw
 WUT


 Katowice
 US


 Poznan
 AMU



 IMP PAS


Republic of Korea
 Daejeon
 CTPCS IBS


Romania
 Bucharest
 IFINHH


 ClujNapoca
 UTCN


 Timisoara
 UVT


Russia
 Moscow
 ITEP



 MI RAS



 MIREA



 NNRU "MEPhI"



 NRC KI



 NRU HSE



 PFUR



 SINP MSU


 Moscow, Troitsk
 HPPI RAS


 Belgorod
 BelSU


 Gatchina
 NRC KI PNPI


 Kazan
 KFU


 Perm
 PSNRU


 Protvino
 IHEP


 Samara
 SU


 Saratov
 SSU


 St. Petersburg
 ETU



 Ioffe Institute



 PDMI RAS



 SPbSU


 Voronezh
 VSU


Serbia
 Belgrade
 INS "VINCA"


Slovakia
 Bratislava
 CU


 Kosice
 IEP SAS



 PJSU


Slovenia
 Ljubljana
 UL


South Africa
 Pretoria
 UNISA


Spain
 Madrid
 ICMMCSIC


Switzerland
 Villigen
 PSI


 Zurich
 ETH


Taiwan
 Taipei
 IP AS


Ukraine
 Kharkov
 NSC KIPT


 Kiev
 IMP NASU



 NUK


 Lviv
 ICMP NASU


USA
 Louisville, KY
 UofL


 New York, NY
 CUNY


 Rochester, NY
 UR


 Tallahassee, FL
 FSU


Uzbekistan
 Tashkent
 Assoc."P.S." PTI


Vietnam
 Hanoi
 IMS VAST


