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 main results in the current year:
 Studying of superconductivity in the tJ Kitaev model and calculation of the superconducting transition temperature for various parameters of the model.
Calculation of the dc conductivity in the electrondoped cuprate and comparison of the results with experiments performed at the NIC "Kurchatov Institute".
Studying of the relationship between the exchange coupling of rareearth terbium ions, the electronic and lattice structures of metallic terbium varying
under the strong external pressure and comparison of results with experimental data obtained at FLNP, JINR.
Analysis of magnetic interactions between spinorbitcoupled j=1/2 moments forming structural chains in iridium and rhodium oxides with facesharing
octahedral arrangement.
Structural investigations of multifractals at nano and microscale using the smallangle scattering technique.
Investigation of physical properties of smart polymeric membranes for technical and biomedical applications.
Investigation of the properties of optical lattices under the increase of intersite interactions.
Development of a method for an efficient regulation of polarization in ferroelectrics.
Calculation of the neutron scattering spectra for a structure of a kagomestrip geometry recently observed in A2Cu5(TeO3)(SO4)3(OH)4 (A=Na, K)
for the purpose of a possible experiment proposal for IBR2.
Calculation and comparison of the spinwave spectrum on such a lattice with the results of possible neutron scattering experiment.
 Development of a microscopic theory to describe the experimentally observed transition to
the charge density wave phase in the underdoped cuprates.
Investigation of the transport and optical properties of new twodimensional
materials taking into account the effects of disorder.
Investigation of the influence of boundary states and various types of defects on the electronic density of states,
electron conductivity and mobility in the monolayer molybdenum
disulfide using the realspace GreenKubo formalism and the nonequilibrium Green function methods.
Study of electron properties of interfaces, such as graphenefluorographene and graphenemolybdenum disulfide monolayer. Calculation
of both the local DOS on the interfaces of structures and the conductance.
Investigation of the electron mobility and conductivity in polycrystalline graphene.
Study of transport properties of Weyl type II semimetal junctions with unconventional superconductors.
Investigation of resonance, chaotic and topological features in Josephson
nanostructures with magnetic layers.
Investigation of the possibility of synchronization of the magnetic moments
dynamics in a onedimensional array of nanomagnets coupled to the
Josephson junction.
Study of the properties of the electromagnetic pulses propagating
through a one dimensional structure consisting of optically active
quantum twolevel systems.
 Description of the limit shapes and universal fluctuations of multipolymer
configurations in the model of uniform and weighted spanning forests
on the lattice.
Construction of stationary states in the model of interacting particles with generalized exclusion on the segment with open boundary conditions.
Description of interfaces in the dimer models with alternating
weights at the bounded domains of planar lattices and characterization of the dependence of their statistics on the shape of the domain.
Obtaining of exact asymptotic expansions of free energy and phase diagrams for dimers on lattices with different geometry and different boundary conditions.
Construction of the Gauss decomposition for the
matrix of generators of the Reflection Equation (RE) algebra by means of the
spectral extension of the REalgebra.
Construction of the hyperbolic hypergeometric function connected to the
general lens space and investigation of its symmetries, the equation it satisfies
and its limiting cases. Investigation of the elliptic analogues of these functions related to superconformal indices of four dimensional field theories.
List of Activities   Activity or experiment  Leaders  
 Laboratory or other Division of JINR  Main researchers

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


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


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


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

2.  Nanostructures and nanomaterials  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,
I.R. Rachmonov, O.G. Sadykova, Yu.M. Shukrinov


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

3.  Mathematical models of statistical physics of complex systems  A.M. Povolotsky 


BLTP
 A.E. Derbyshev, V.I. Inozemtsev, 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



 JIPNRSosny NASB



 SPMRC NASB



 UCP MES


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


 Olomouc
 UP


Denmark
 Lyngby
 DTU


Egypt
 Giza
 CU


France
 AnnecyleVieux
 LAPTh


 Paris
 UPMC


 Marseille
 CPT



 UPC


 Nice
 UN


 Valenciennes
 UVHC


Germany
 Bremen
 Univ.


 Braunschweig
 TU


 Dortmund
 TU Dortmund


 Darmstadt
 GSI



 TU Darmstadt


 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


Italy
 Catania
 UniCT


 Fisciano
 UNISA


Japan
 Utsunomiya
 UU


Mongolia
 Ulaanbaatar
 NUM



 IPT MAS


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



 ITMO Univ.



 PDMI RAS



 SPbSU


 Vladimir
 VlSU


 Voronezh
 VSU


Serbia
 Belgrade
 INS "VINCA"


Slovakia
 Bratislava
 CU


 Kosice
 IEP SAS



 UPJS


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


