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Abstract: Metal-insulator transitions and transitions between different quantum Hallliquids are used to describe the physical ideas forming the basis of quantumphase transitions and the methods of application of theoretical results inprocessing experimental data. The following two theoretical schemes arediscussed and compared: the general theory of quantum phase transitions, whichhas been developed according to the theory of thermodynamic phase transitionsand relies on the concept of a partition function, and a theory which is basedon a scaling hypothesis and the renormalization-group concept borrowed fromquantum electrodynamics, with the results formulated in terms of flow diagrams.



Autor: V.F.Gantmakher, V.T.Dolgopolov

Fuente: https://arxiv.org/







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