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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 example reveal strongly interacting clusters of agents in electronic commerce or functional units of metabolic networks in living organisms. Celý text >>
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 steady states and nonequilibrium thermodynamics beyond
linear response are investigated. Celý text >>
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. Celý text >>
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 not only a simple but representative simulation of the behavior of interacting systems, but also serve as a basic reference for testing transport equations. Celý text >>
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 Green functions and
transport equations. Celý text >>
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. Celý text >>
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 electron-hole scatterings are used to describe peculiarities of the strong-coupling regime. Celý text >>
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 of thin films on a non-magnetic substrate. Celý text >>
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 structure and by controlling native defects and intentional co-doping. Starting from (Ga,Mn)As, we are interested in non-traditional DMS based, e.g., on mixed III-V semiconductors and I-II-V compounds. Celý text >>
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 of alloys, surfaces, interfaces, interlayers and multilayers are taken into account. Real-space finite-element method applicable to nonperiodic structures is being developed. Celý text >>
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