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Quantum Hall Effect and, in particular, fractional quantum Hall Effect have forced theorists to rack their brains over an explanation of these phenomena. However for past decades since the effect was opened theory has remained in an unsatisfactory state. Existing explanation of a quantum Hall Effect looks less convincing in connection with the fact that it is simultaneously accompanied by even more «strange and inexplicable» phenomenon - superconductivity. However, the study of these key problems of physics is important not only from the point of view of adequate theory formation, but also as a way to deepen our knowledge about fundamental bases of substance structure.

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