Effective Hamiltonians for Magnetic Ordering Within Periodic Anderson-Hubbard Model for Quantum Dot Array

摘要

Modern technologies depend on the synthesis and implementation of novel materials with unique electrical and magnetic properties. Among the most promising of those materials, there are systems with quantum dots [1-3], in which an impurity is embedded into a matrix of the host material. Arrays of nano-sized quantum dots are anticipated to play a central role in a range of breakthrough application, from minimizing energy consumption and providing new effective means of energy harvesting to prospective quantum communication technologies. Experimental techniques of quantum dot array synthesizing have dramatically progressed recently. However, theoretical understanding of a collective behavior of these artificial atom systems lags behind, due to complexity of a model description and a large variety of competing magnetic and nonmagnetic phases.