

Leaders: 
V.A. Osipov 
Participating
Countries and International organizations:
Armenia, Australia, Austria, Azerbaijan, Belarus, Belgium, Brazil, Bulgaria, Canada, Czech Republic, Denmark, Ecuador, Egypt, Finland, France, Germany, Hungary, India, Iran, Italy, Japan, Mongolia, New Zealand, Poland, Republic of Korea, Romania, Russia, Serbia, Slovakia, Slovenia, South Africa, Spain, Switzerland, Taiwan, Ukraine, United Kingdom, 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. Study of a wide range of universal phenomena in complex systems  phase transitions in condensed media and highenergy physics, scaling in (magneto)hydrodynamic turbulence, chemical reactions, percolation, etc. by the methods of quantum field theory including the functional renormalization group. 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:
Development of new theoretical models and methods for studying fractal systems using the smallangle scattering technique.
Investigation of magnetocapacitive, magnetoresistive and magnetopiezoelectric effects in smart composite materials.
Development of a theory of the optical Stark effect in monolayer transition metal dichalcogenides with intervalley biexciton involvement and valley selectivity of the effect taken into account.
Modeling of carbon(silicon)tungstenhydrogen potentials for the use in numerical molecular dynamics investigation of graphene(silicone)tungsten layered structures to obtain results for comparison with the proton beam irradiation experiments.
Modeling of a linear spin chain with threebody spin interactions with a density matrix renormalization group numerical method in order to obtain a phase diagram as a function of the interaction parameters.
Ab initio estimation of exchange parameters of a Cobased honeycomb Kitaev magnet BaCo_{2}(AsO_{4})_{2}, and calculation of the corresponding spinwave spectrum.
Calculation of magnon spectral line broadening in a honeycomb ferromagnet with DzyaloshinskiiMoriya interactions.
Development of a microscopic theory of spin excitationsin the electrondoped cuprates within the tJ model by considering the antiferromagnetic (AF) order as a function of doping and comparison of the obtained results with available experiments.
Development of a statistical theory for describing the properties of condensed matter systems with extended defects.
Development of the theory of quantum nets accomplishing quantum information processing.
Development of an approach to selfsimilar extrapolation of asymptotic series, with applications to condensed mater systems and quantum field theory.
Investigation of the manifestation of nonlinear phenomena in the dynamics and IVcharacteristics of Josephson junction stacks and Josephson nanostructures with ferromagnetic layers.
Investigation of the possibility of enhancing the efficiency of detecting current signals by using the Josephson junction stack.
Investigation of the conductivity and mobility of charge carriers in modified graphene structures through a combination of molecular dynamics and Landauer approaches.
Investigationof the temperature behaviour ofresistivity of nanostructural metallic films based on the disclination concept of grain boundary. Calculation of the Hall mobility as a function of temperature and thickness in these materials.
Investigation within the model of strongly correlated electrons of the influence of shortrange nonlocal Coulomb repulsion, experimentally observed in doped cuprates, on the structure of pair correlations and on the superconductivity.
Investigation of electronic properties of transition metaldichalcohenides and other types of 2D materials in the presence of 0D and 1D randomly distributed defects with a focus on the influence of the edge and bound states of defects on the transport properties in the hopping and resonant transport regimes.
Construction of integrable models connected to complex hypergeometricfunctions. Construction of mixed recurrence and difference equations for the corresponding functions appearing in the limiting regime of key deformation parameter b→i for hyperbolic hypergeometric functions.
Systematic investigation of the degeneration of multidimensional elliptichypergeometric integrals to the hyperbolic level with a subsequent reductionto the level of complex hypergeometric functions, which corresponds to the degeneration of 4d superconformal indices to 3d and 2d supersymmetric partition functions.
Description of the finitedimensional behavior of the dimer model onlattices with different geometries under different boundary conditions. Investigation of the entangled states of a complex quantum system withsingleion anisotropy.
Construction of the CayleyHamilton identities and investigation of the characteristic subalgebras for the Quantum Matrix algebras oforthogonal type.
Investigation of a family of stochastic processes on the onedimensionalchains with two states in the local vertex by the use of the Hecke typestochastic Rmatrice.
Construction of a new quasioscillator generating set for the quantumgroups U_{q}(gl_{n}) and investigation with its help of a series of GelfandZetlin representations.
Calculation of exact cluster densities in the percolation model and loop densities in O(1) dense loop modelson lattices with various boundary conditions.
Construction and solution of the lattice model of lattice paths with partial annihilation.
Description of particle flow statistics in an asymmetric avalanche process.
Determination of nonlocal correlation functions in the models of branching polymers on the lattice with boundary.
Study of spontaneous isotropy breaking in a generalized model of helical stochastic magnetic hydrodynamics. Calculations of critical indices and fixed RG points in the twoloop approximation.
Development of computational methods for solving equations of a nonperturbative functional renormalization group.
Study of chemical reactions kinetics in stochastic media with random fluctuations of different types. Construction of effective field models and derivation of renormalization group equations for correlation functions of the density field of chemically active molecules. Calculation of scaling exponents.
Performing threeloop calculations of fixed RG points and scaling indices in directed percolation described by some effective fieldtheoretic action.
Calculation of the thermodynamic potential and investigation of the superfluid/superconducting phase transition and scaling in SU(N) symmetric equilibrium systems of ultracold fermions in the framework of the nonperturbative renormalization group.
Study of the influence of isotropic turbulent medium modelled by the stochastic NavierStokes equation on the possibility of the occurrence of selforganized criticality in HwaKardar anisotropic model of a moving sand pile.
Study by means of the functional renormalization group of the infrared asymptotic behaviour of the KardarParisiZhang model with spatially quenched random noise that describes random surface growth.
Investigation of the transfer of vector impurities in an anisotropic and helical turbulent medium in the presence of a weak external magnetic field.
Study of the magnetic field effect on the transport properties of inversion symmetric Weyl semimetal heterostructures including normal superconductors and proximity induced superconductivity in Weyl semimetals.
Elaboration of semianalytical methods for computation of bound states spectral functions in effective meson and quarkmeson models by means of nonperturbative renormalization group approach and their further implementation for calculation of decay widths and the study of mass generation mechanisms for light mesons.
List of Activities: 



Activity or experiment 
Leaders 


Laboratory
or other 
Main researchers 

1. 
Complex materials 
E.M.
Anitas 


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


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


MLIT 
L.A.
Syurakshina, E.P. Yukalova 
2. 
Nanostructures and nanomaterials 
V.A.
Osipov 


BLTP 
T.
Belgibaev, Hoang Ngok Kam, I.D. Ivantsov, V.L. Katkov, D.V.
Kolesnikov, S.E. Krasavin, K.V. Kulikov, A. Mazanik, I.R.
Rachmonov, O.G. Sadykova, Yu.M. Shukrinov 

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

LRB 
A.N. Bugay 

FLNR 
A. Olejniczak 
3. 
Mathematical
models of statistical 
A.M. Povolotsky 


BLTP 
A.E.
Derbyshev, V.I. Inozemtsev, V. Papoyan, P.N. Pyatov, V.P.
Spiridonov, P.E. Zhidkov 
4. 
Methods
of quantum field theory 
M. Hnatic 


BLTP 
G.
Kalagov, N. Lebedev, M. Maiti, L. Mizisin, R. Remecki


MLIT 
J. Busa 
Collaboration
Country or International Organization 
City 
Institute or laboratory 
Armenia 
Yerevan 
Foundation ANSL 


YSU 
Australia 
Melbourne, VIC 
Univ. 

Sydney, NSW 
Univ. 
Austria 
Linz 
JKU 
Azerbaijan 
Baku 
Branch MSU 
Belarus 
Minsk 
BSTU 


IP NASB 


SPMRC NASB 
Brazil 
Brasilia, DF 
UnB 

Natal, RN 
IIP UFRN 

Sao Paulo, SP 
USP 
Bulgaria 
Plovdiv 
PU 

Sofia 
IMech BAS 


INRNE BAS 


ISSP BAS 


SU 
Canada 
Kingston, ON 
Queen's 

London, ON 
Western 

Montreal 
Concordia 

Quebec 
UL 
Czech Republic 
Olomouc 
UP 

Rez 
NPI CAS 
Denmark 
Lyngby 
DTU 
Ecuador 
Quito 
USFQ 
Egypt 
Giza 
CU 
Finland 
Helsinki 
UH 
France 
Marseille 
CPT 


UPC 

Nice 
UN 

Paris 
UPMC 

Valenciennes 
UVHC 
Germany 
Braunschweig 
TU 

Bremen 
Univ. 

Darmstadt 
GSI 


TU Darmstadt 

Dortmund 
TU Dortmund 

Dresden 
IFW 


MPI PkS 


TU Dresden 

Jena 
Univ. 

Leipzig 
UoC 

Magdeburg 
OVGU 

Rostock 
Univ. 

Wuppertal 
UW 
Hungary 
Budapest 
Wigner RCP 
India 
Kolkata 
IACS 
Iran 
Zanjan 
IASBS 
Italy 
Catania 
UniCT 

Fisciano 
UNISA 
Japan 
Utsunomiya 
UU 
Mongolia 
Ulaanbaatar 
IPT MAS 


NUM 
New Zealand 
Auckland 
Univ. 
Poland 
Katowice 
US 

Krakow 
JU 

Poznan 
AMU 


IMP PAS 

Warsaw 
IPC PAS 

Wroclaw 
WUT 
Republic of Korea 
Daejeon 
CTPCS IBS 

Incheon 
Inha 
Romania 
Bucharest 
IFINHH 

ClujNapoca 
UTCN 

Timisoara 
UVT 
Russia 
Belgorod 
BelSU 

Gatchina 
NRC KI PNPI 

Kazan 
KFU 

Moscow 
ITEP 


LPI RAS 


MI RAS 


MIREA 


NNRU "MEPhI" 


NRC KI 


NRU HSE 


PFUR 


SINP MSU 

Moscow, Troitsk 
HPPI RAS 

Novosibirsk 
ISP SB RAS 


NIIC SB RAS 

Perm 
PSNRU 

Protvino 
IHEP 

Samara 
SU 

Saratov 
SSU 

St. Petersburg 
ETU 


Ioffe Institute 


ITMO Univ. 


PDMI RAS 


SPbSPU 


SPbSU 

Voronezh 
VSU 

Yekaterinburg 
IMP UB RAS 
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 
United Kingdom 
Coventry 
Warwick 
USA 
Irvine, CA 
UCI 

Louisville, KY 
U of L 

New York, NY 
CUNY 

Pasadena, CA 
Caltech 

Piscataway, NJ 
Rutgers 

Rochester, NY 
UR 

Tallahassee, FL 
FSU 
Uzbekistan 
Tashkent 
Assoc. P.S. PTI 
Vietnam 
Hanoi 
IMS VAST 
▲ 