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Applications of theoretical physics in other branches of science are investigated. Special attention is paid on complex networks both in social systems and in biology. Empirical data are analyzed by methods of random matrix theory, where spectra of the matrices and localization properties visualise relevant structural features. This way we for...
Theory of random systems, in particular spin glasses, is pursued. Microscopic approaches bases on the real-replica method combined with TAP equations are used to understand the mean-field theory of spin glasses. In nonequilibrium systems dynamical fluctuations in irreversible processes, variational formulation of nonequilibrium...
Structural properties and mechanism of formation of surface nanostructure of metals, semiconductors, and multi-component materials are studied by numerical simulations. Molecular dynamics and Monte-Carlo simulations are combined to achieve a multiscale description of the critical behavior of relevant statistical mechanical quantities.
Time-resolved spectroscopy is another domain of quantum coherence. Interband excitation of electrons by strong femtosecond pulses and immediate electron response and relaxation are studied theoretically for the case of disordered semiconductors. The results, showing a competition between light and disorder scattering, represent...
Quantum coherence due to cooperative scatterings is studied. Of particular interest are effects of backscatterings on bulk transport properties of electrons in disordered media. Effects of decoherence and dephasing of electrons interacting with optical phonons in quantum dots out of equilibrium are examined with non-equlibrium...
Low-temperature quantum critical behavior where two or more noncommuting operators remain relevant are studied with many-body diagrammatic techniques. The objective is to understand and quantitatively describe admissible types of the critical behavior of vertex functions in interacting and disordered itinerant systems.
Electron correlations are studied in tight-binding models with a screened local interaction of the Hubbard type. Advanced summation methods of Feynman diagrams for two-particle Green functions are the core of our interest. Various simplified forms of parquet equations mixing self-consistently multiple electron-electron and...
A mapping of the total energy of electrons in magnetic materials and alloys on Heisenberg and Ising-like models is utilized to describe bulk and surface magnetic ordering. The theory is applied to dilute metallic and semiconducting magnetic materials, phase diagrams of layers of alloys, and theoretical explanation of ferromagnetism...
Dilute magnetic semiconductors are prototype materials with structural, magnetic, transport, and optical properties determined by combined effects of disorder, electron correlations, and hybridization. Our theoretical study, based on density-functional theory, aims at facilitating magnetic behavior of DMS by optimizing the electronic...
Electronic structure of complex materials with unusual properties is studied with TB-LMTO, FP-LAPW, and pseudopotential ab-initio density-functional methods. The calculations are used to predict new materials with potential applications. Relativistic effects and correlation-induced dynamical fluctuations in the electronic structure...
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