
 
  Status:  Approved for completion in 2018


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 2018:
 Calculation of the spectrum of spin fluctuations in the quasitwodimensional Heisenberg model on the honeycomb lattice within the t  J model with doped holes.
Calculation of the dynamical charge susceptibility and studies of charge density waves within the projection technique for the Green functions in the t  J model.
Model description of electron structure of lead halide perovskites for the next generation of solar cells and spintronics.
Structural investigations of mass and surface fractals at nano and microscale using the smallangle scattering technique.
Development of the theory of spin dynamics of dipolar and spinor molecules in optical lattices.
Derivation and investigation of the equations of evolution of the open nonequilibrium systems under some special boundary conditions.
Investigation of charge density wave instability in the underdoped cuprates by employing the continuous quantum Monte Carlo numerical method.
Development of the different protocols for the effect of superconducting current on the magnetic moment in the superconductorferromagnetsuperconductor system.
Investigation of the problem of quantum transport in graphene and phosphorene with taking account of the presence of localized edge states and the effect of lattice thermal vibrations.
Calculation of the electron mobility in phosphorene, phosphorene nanoribbons, as well as in silicene and other novel 2D materials and nanostructures based on these materials.
Study of the electron and transport properties in the systems consisting of carbon nanostructures with biomolecules attached to their surface. Analysis of the influence
of the surrounding solution composition on the transport characteristics. Study of the mechanism of quantum transport in the ion liquid gate type field effect transistor
based on similar systems.
Calculation of the thermal conductivity of a wide class of nanocrystalline materials.
Investigation of properties of transport of the intra molecular vibrational excitation (vibron) in a quasi 1D macromolecular structure taking into account
the process of damping depending on the vibronphonon coupling strength and temperature.
 Calculation of the density profile in the model of dense traffic constructed on the basis of the generalized totally asymmetric exclusion process.
Solution in one dimension and numerical computation in higher dimensions of the problem of spreading of information analogous to the model of directed
percolation below the percolation threshold.
Evaluation of large deviation functions of the avalanche sizes in the Raise and Peel model in the thermodynamic limit.
Derivation of the universal asymptotics of correlation functions in the generalized simple exclusion process.
A detailed investigation of the rotorrouter aggregation model.
The phase diagram of the generalized totally asymmetric simple exclusion process will be constructed for generic values of the probabilities for hopping, injection
and ejection of particles on open chains.
The results of theoretical analysis and computer simulations will be used for modeling processes of the particle aggregation and development of jams in onedimensional traffic.
Investigation of eigenfunctions of the elliptic Fourier transformation for the gauge group SU(2) and demonstration of their connection with the Nekrasov instanton partition
function in five dimensional gauge field theories (GaiottoKim conjecture).
Investigation of a stochastic regime for the FateevZamolodchikov spin chain, namely, stochastic reinterpretation of the model, study of combinatorial properties
of the ground states and revealing of underlying symmetry algebra.
Construction of solutions of the 3body quantum CalogeroMoser system with the pairwise 2body interaction described by the Weierstrass elliptic function
for special coupling constants using the Sklyanin method of separation of variables.
Construction of solutions of the YangMills equations on AdS_{p} x
S ^{q} and dS_{p} x H ^{q}, i.e. on the direct product of antide Sitter spaces, spheres,
de Sitter and hyperbolic spaces.
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, I.D. Ivantsov, 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, O.G. Sadykova, 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
 I. Sarhadov, S.I. Serdyukova,
L.A. Syurakshina, E.B. Zemlianaya

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


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


Belarus
 Minsk
 BSTU



 IP NASB



 ISEI BSU



 UCP MES



 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


Moldova
 Chi sina
 IAP ASM


Mongolia
 Ulaanbaatar
 NUM


Poland
 Krakow
 JU


 Warsaw
 IPC PAS



 WUT


 Katowice
 US


 Poznan
 AMU



 IMP PAS


Romania
 Bucharest
 IFINHH


 ClujNapoca
 UTCN


 Timi soara
 UVT


Russia
 Moscow
 MIREA



 ITEP



 NNRU "MEPhI"



 NRU HSE



 PFUR



 SINP MSU



 MI RAS



 NRC KI


 Moscow, Troitsk
 HPPI RAS


 Belgorod
 BelSU


 Gatchina
 NRC KI PNPI


 Kazan
 KFU


 Krasnoyarsk
 KIP SB RAS


 Protvino
 IHEP


 Samara
 SU


 Saratov
 SSU


 St. Petersburg
 ETU



 IPTI RAS



 SPbSU



 PDMI RAS


 Voronezh
 VSU


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
 NSC KIPT


 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


