Theory of Condensed Matter
Leaders:  V.A. Osipov A.M. Povolotskii 
Participating Countries and International Organizations: Armenia, Australia, Austria, Belarus, Belgium, Brazil, Bulgaria, Canada, Czech Republic, France,
Germany, Hungary, India, Ireland, Italy, Japan, Moldova, Mongolia, Poland,
Romania, Russia, Serbia, Slovakia, Slovenia, Spain, Switzerland, Taiwan,
Ukraine, USA, Uzbekistan, Vietnam.
Scientific Programme: Effects of strong electron correlations in hightemperature superconductors,
colossal magnetoresistance compounds (manganites), heavyfermion systems,
lowdimensional quantum magnets with strong spinorbit interaction, topological
insulators, etc. will be investigated based on a variety of underlying manyband
electronic models including the extended Hubbard model, Anderson model, superexchange
spinorbital models of transition of metal oxides with strong relativistic spinorbital
coupling. The electronic band structure, spectral properties of charge carrier
quasiparticles, magnetic and charge collective excitations, metalinsulator
and magnetic phase transitions, Cu and Febased highTc superconductivity,
charge and spinorbital ordering will be studied. The obtained results will be used
to support neutron scattering experiments performed at FLNP, JINR.
Investigations in the field of nanostructures and nanoscaled phenomena will be addressed
to a study of physical characteristics of nanomaterials promising for various applications
in modern nanotechnologies. The electronic, thermal and transport properties of carbon
nanostructures will be investigated. It is planned to study the problem of quantum transport
in molecular devices. Spin dynamics of magnetic nanoclusters will be investigated.
The analysis of resonance tunneling phenomena in the layered superconductors and
superconducting nanostructures in the external fields will be performed.
Numerical modeling of resonance, radiative and chaotic properties of intrinsic Josephson
junctions in high temperature superconductors is planned to be carried out.
Ìodels in condensed matter physics will be studied by using methods of equilibrium
and nonequilibrium statistical mechanics with the aim of revealing general properties
of manyparticle systems based on the ideas of selfsimilarity and universality.
Mathematical mechanisms, underlying the kinetic and stationary behavior of model systems,
as well as possible links between different models, will be investigated.
The study of twodimensional lattice models by the transfer matrix method will be focused
on confirming the predictions of the logarithmic conformal field theory.
The theory of integrable systems will be developed in the aspect of finding new
integrable boundary conditions for twodimensional spin systems and the solution
of the corresponding YangBaxter equations. The universal behavior of correlation functions
in nonequilibrium systems will be studied as well. The research in the structure
theory and the theory of representations of quantum groups and matrix
algebras will be directed to further applications in the theory of integrable
models in quantum mechanics and statistical physics. Applications of the elliptic
hypergeometric integrals, defining the most general solutions of
the YangBaxter equation and most complicated known exactly computable path
integrals in fourdimensional quantum field theory, to twodimensional spin systems will be studied.
Expected main results in 2017:
 Theoretical study of electronic and magnetic properties of strongly correlated systems including newly synthesized oxides 3d, 4d and 5d transition metals.
Theoretical study of electronic, transport and optical properties of hybrid perovskites for the third generation of solar cells.
Calculation of the spinwave excitation spectrum, magnetization, susceptibility and
the Neel temperature for the quasitwodimensional KitaevHeisenberg model on the
honeycomb lattice proposed for iridates in the antiferromagnetic and paramagnetic
states.
Development of the superconducting theory for the quasitwodimensional compass
Heisenberg model and the KitaevHeisenberg model on the honeycomb lattice.
Investigation of the onedimensional Bose gas in external potentials. Description of shortrange correlations in the Bose gas in the regime of strong
interactions.
Development of theoretical models for smallangle scattering from mass and surface fractals. Theoretical
study of smallangle scattering from multifractals.
Investigation of generation of magnetic precession by Josephson current in
the presence of spinorbital coupling in the external electromagnetic
field.
The classification of the appearing superconducting spintronics effects.
Study of the hopping mechanism of the vibron excitation transport in
macromolecular chains in the framework of nonadiabatic polaron theory
depending on the quantum state of the macromolecular structural elements,
such as squeezed and chaotic squeezed states.
Theoretical investigation of the electron conductivity
in polycrystalline graphene. Calculation of
a relaxation time due to a finite charged dislocation wall
of a different type (grain boundary scattering),
and the corresponding contribution to the tensor of conductivity
as a function of temperature and carriers concentration.
Application of the extended selfconsistent Huckkel method, along with the
nonequilibrium Green's function method and finding of the currentvoltage
characteristics of some graphene nanostructures.
Investigation of the influence of the phononphonon interaction to the
thermal conductance of the graphene nanoribbons with a different width.
Development of the new concepts of electronic nanodevices
based on graphene and graphene ribbons. Investigation of different aspects of electron
transport in the electronic devices based on the graphene edge states.
Within the dual model of strongly correlated electrons, the spin correlation function is to be computed
for the lightly doped cuprates beyond the meanfield approximation.
 Construction of superconformal indices for quiver supersymmetric gauge
theories and description of their relation to partition functions of lattice spin
systems.
Consideration of a traffic model, where a condition of irreversible aggregation is introduced along with the standard conditions of the excluded volume.
Irreversible aggregation means that a cluster of particles being emerged once will not be destroyed later and all particles of the cluster move
synchronously. The model is defined on a finite interval with a given ingoing and outgoing probabilities , at the ends of interval.
The phase diagram of the stationary state will be constructed and its peculiarities in four different sectors will be explained.
Detailed investigation of the rotorrouter aggregation model on infinite graphs.
Investigation of separation of variables in threebody elliptic CalogeroMoser systems.
Computation of largedeviation probabilities in the spherical model,
generalized spherical model and in the models of the Boson gas.
Investigation of the structure of quantum matrix algebras of orthogonal
and symplectic types, classification of irreducible representations of the
braid group B_{3} in low dimensions.
Solving of spectral problems in systems of mixed dimensionality.
Derivation of new characteristics of the equiangular tight frames.
Description of the transition from the KardarParisiZhang regime to the deterministic
aggregation regime in the nonstationary fluctuations of particle current in the model
of generalized asymmetric simple exclusion process. Calculation of the universal finite
size corrections to the large deviation function of particle current in the model of
random walks in a random environment.
Development of the theory of Bosecondensed systems with dipolar interaction potentials.
Formulation of an approach for describing nonequilibrium networks of complex quantum systems.
Study of the time evolution and stationary states of
open manyparticle interacting systems by means of a special procedure of a reduced description.
The method of maximum information entropy will be analyzed in this context.
Construction of solutions of the YangMills equations on conical spaces
with Lorentzian metric in various dimensions. Study of the particlevortex duality.
List of Activities   Activity or experiment  Leaders  
 Laboratory or other Division of JINR  Main researchers

1.  Complex materials and nanostructures 
V.A. Osipov N.M. Plakida 


BLTP
 E.M. Anitas, A.Yu. Cherny, A.V. Chizhov, V. Ilkovich,
O.G. Isaeva, V.L. Katkov, E.A. Kochetov, D.V. Kolesnikov,
S.E. Krasavin, D.A. Lobanov, M. Maiti, A.N. Novikov,
V.N. Plechko, I.R. Rahmonov, J. Schmelzer,
Yu.M. Shukrinov, M.A. Smondyrev, J. Smotlacha,
A.A. Vladimirov, V.Yu. Yushankhai


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


LIT
 E.B. Zemlianaya, I. Sarhadov, S.I. Serdyukova,
L.A. Syurakshina

2.  Contemporary problems of statistical physics  A.M. Povolotsky V.B. Priezzhev 


BLTP
 J. Brankov, N.Zh. Bunzarova, V.M. Dubovik,
V.I. Inozemtsev, A.L. Kuzemsky, T.A. Ivanova,
V. Papoyan, A.E. Patrik, P.N. Pyatov, V.P. Spiridonov,
O. Turek, V.I. Yukalov, P.E. Zhidkov

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


Australia
 Melbourne
 Univ.


 Sydney
 Univ.


Austria
 Vienna
 TU Wien


Belarus
 Minsk
 BSTU



 IP NASB



 ICE MES RB



 JIPNRSosny NASB


Belgium
 LouvainlaNeuve
 UCL


Brazil
 Brasilia, DF
 UnB


 Sao Paulo, SP
 USP


 Natal, RN
 IIP UFRN


Bulgaria
 Sofia
 IMech BAS



 ISSP BAS



 SU



 INRNE BAS


Canada
 Montreal
 Concordia


 Quebec
 UL


 Kingston
 Queen's


 London
 Western


Czech Republic
 Rez
 NPI ASCR


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


 Duisburg
 UDE


 Leipzig
 UoC


 Magdeburg
 OVGU


 Rostock
 Univ.


 Stuttgart
 MPIFKF


 Wuppertal
 UW


Hungary
 Budapest
 Wigner RCP


India
 Mumbai
 TIFR


Ireland
 Dublin
 DIAS


Italy
 Catania
 UniCT


 Salerno
 UNISA


Japan
 Kochi
 KUT


Poland
 Krakow
 JU


 Warsaw
 IPC PAS



 WUT


 Katowice
 US


 Poznan
 AMU



 IMP PAS


Romania
 Bucharest
 IFINHH


 ClujNapoca
 UTCN


 Timisoara
 UVT


Russia
 Moscow
 MIREA



 NNRU "MEPhI"



 NRU HSE



 PFUR



 SINP MSU



 MI RAS



 NRC KI


 Moscow, Troitsk
 HPPI RAS


 Belgorod
 BelSU


 Gatchina
 PNPI


 Kazan
 KFU


 Krasnoyarsk
 KIP SB RAS


 Protvino
 IHEP


 Saratov
 SSU


 St. Petersburg
 ETU



 IPTI RAS



 SPbSU



 PDMI RAS


 Voronezh
 VSU


Moldova
 Chisinau
 IAP ASM


Mongolia
 Ulaanbaatar
 NUM


Serbia
 Belgrade
 INS "VINCA"


Slovakia
 Bratislava
 CU


 Kosice
 IEP SAS



 TUKE


Slovenia
 Ljubljana
 UL


Spain
 Madrid
 ICMMCSIC


Switzerland
 Villigen
 PSI


 Zurich
 ETH


Taiwan
 Taipei
 IP AS


Ukraine
 Kharkov
 KFTI


 Kiev
 IMP NASU



 NUK


 L'viv
 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


