Fields of Research and Scientific Interests
The relationship between disorder and superconductivity is a very interesting and intriguing phenomenon in the physics of condensed matter. It is well known that ordinary superconductors with a uniform order parameter are insensitive to small concentrations of nonmagnetic impurities. This feature is commonly known as Anderson's theorem. In strong disorders, superconductivity is destroyed and the superconductor becomes an insulator. The most interesting state occurs between these extremes, when the disorder can even enhance superconductivity, as seen in some alloys or granular materials. The mechanisms of this enhancement are still not entirely clear and are actively researched.
Recent advances in the research of ferromagnetic superconductors have opened up many new and interesting aspects in superconductivity physics—especially in the magnetic properties of superconductors. The coexistence of superconductivity and magnetism in such materials depends to a decisive degree on how the magnetic and superconducting subsystems are connected. The most significant factor is which of the two subsystems is the ‘strongest’, ie which of the two critical temperatures is the largest: the Curie temperature of magnetic ordering Tm or the critical temperature of superconductivity Tc.
The latest experimental results have drawn attention to research into ferromagnetic superconductors in which the superconducting subsystem is ‘stronger’.
In this case, not only do ordinary ferromagnetic domains appear with modifications in respect to superconductivity, but also self-organised structures that do not exist in either ferromagnetic or superconducting materials are observed. The classification and description of such structures are currently insufficient and require detailed theoretical and experimental studies.
- The Influence of Disorder and Impurities on the Superconducting Properties of Materials
- Magnetism and Superconductivity
- Low-dimensional Superconducting Metamaterials
- Properties of Intertype Superconductors
- Superconductors with a Condensate Consisting of Many Components
- Two-dimensional Semiconductor Structures
- Semiconductor Quantum Dots
1) Microscopic equations of superconductivity
2) Ginzburg–Landau Theory and its extensions
3) Phenomenological description of magnetic superconductors
4) Density functional method
5) Bethe–Salpeter equation
6) Dynamic equations for the density matrix
7) Functional integral per trajectory for dynamic tasks
8) Method of tensor products for dynamic tasks
9) Application of learning algorithms (machine intelligence)
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