6533b86efe1ef96bd12cc691

RESEARCH PRODUCT

Appearance of Fermion-Condensation Quantum Phase Transition in Fermi Systems

Vladimir A. StephanovichVasily R. ShaginyanMiron AmusiaKonstantin G. Popov

subject

PhysicsQuantum phase transitionsymbols.namesakeCondensed matter physicsCondensed Matter::SuperconductivityQuantum critical pointsymbolsQuantum oscillationsFermi's golden ruleFermi energyFermi liquid theoryQuantum phasesFermi gas

description

As high-\(T_c\) superconductors are represented primarily by 2D layered structures, in Sect. 5.1 we discuss the superconducting state of a 2D liquid of heavy electrons, and within the framework of Gor’kov microscopic equations construct the Green functions of the FC state. On the other hand, our study can easily be generalized to the 3D case. To show that there is no fundamental difference between the 2D and 3D cases, we derive Green’s functions for the 3D case in Sect. 5.1.1. In Sect. 5.2, we consider the dispersion law and lineshape of single-particle excitations. Section 5.3 is devoted to the behavior of heavy-electron liquid with FC in magnetic field. In Sect. 5.4, we analyze conditions which lead to the emergence of FC in Fermi systems composed of different fermions such as atoms of \(^{3}\)He and electrons.

yearjournalcountryeditionlanguage
2014-10-26
https://doi.org/10.1007/978-3-319-10825-4_5