Research area & expertise:
Condensed Matter Theory

  • Research interests:
  • Theory of strongly correlated electrons
Model description of electron correlations, Hubbard and Anderson impurity models, collective and cooperative phenomena, the transition from weak to strong coupling regimes, breakdown of Fermi-liquid phase, (dynamical) mean-field theory for intermediate and strong coupling, Kondo and insulating regimes; implementation of electron correlations in realistic calculation schemes
  • Quantum coherence and quantum phase transitions in itinerant systems
Quantitative description of quantum criticality, interaction-driven quantum phase transitions in metals, effects of non-commutativity of relevant operators on critical behavior, formation of bound and resonant pair states, the structure of order parameters of quantum phases, transverse magnetic order, superconductivity
  • Transport properties of disordered electron systems
Vertex corrections in the electrical conductivity in impure metals, quantum diffusion, and coherence, diagrammatic theory of weak and strong electron localization, metal-insulator transition
  • Theory of spin glasses and other random systems
Mean-field theory based on real replicas in the thermodynamic approach of Thouless, Anderson, and Palmer for Ising and Heisenberg spin glasses and related models
  • Field-theoretic and diagrammatic methods for quantum two-particle functions
Feynman diagrams and many-body Green functions for nonrelativistic quantum interacting systems, advanced approximations for two-particle Green functions, vertex corrections, parquet approach to two-particle vertex functions
  • Superconducting nanostructures
Interacting quantum dots attached to superconducting leads, Andreev bound states, 0-pi transition, perturbation theory with anomalous functions.

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