关键词：集群；临界电流；电子碰撞谱；高温
摘 要：The project is devoted to study of the new materials that are characterized with high value of the superconducting transition temperature (potentially up to room temperature). Nanoclusters with shell structure of the electron spectrum have been studied. Prospective objects are magic clusters, clusters with half filled upper zone, some flat molecules and two-dimensional quantum dots. We have studied the possibility of building such nano-based networks transferring a high value of dissipation-free current. The sours of energy dissipation are thermal and quantum fluctuations. The methods of modern quantum field theory were employed. Simultaneously, we searched the solutions of the nonlinear equations of the type of time-dependent Ginzburg- Landau equation and generalized Ginzburg-Landau functional. Main goal was to study the development of singularities of different kinds in such solutions at the finite time and investigation of new class of possible ground states in strong magnetic field, corresponding to Abrikosov lattices with several flux quantum in elementary cell. Results have been published or submitted to journals listed herein, with summaries included.