6533b838fe1ef96bd12a45d4

RESEARCH PRODUCT

Metals with a Strongly Correlated Electron Liquid

Vasily R. ShaginyanKonstantin G. PopovVladimir A. StephanovichMiron Amusia

subject

Quantum phase transitionPhysicsPhase transitionResidual resistivityTricritical pointCondensed matter physicsmedia_common.quotation_subjectElectron liquidFermionResidual entropyAsymmetrymedia_common

description

In this chapter, we consider the main properties of strongly correlated Fermi systems, which are formed by the fermion condensate leading to the emergence of flat bands. Namely, we consider the residual entropy \(S_0\) related to the flat bands that leads to the violation of the quasiparticle—hole symmetry. The presence of \(S_0\) has a profound impact on the universality of second order phase transitions. In that case under the application of magnetic field the curve of the second order AF phase transitions passes into a curve of the first order ones at the tricritical point, thus leading to a violation of the critical universality of the fluctuation theory. We demonstrate that a jump in the Hall coefficient is determined by the presence of \(S_0\). As we shall see in Chaps. 9, 10, and 11, the flat bands give rise to the linear in \(T\) resistivity, the magnetic field dependent residual resistivity, and quasi-classical behavior of HF fermion metals. We shall see in Chap. 13 that flat bands generate the particle-hole asymmetry leading to the asymmetry and other peculiarities of tunnel conductivity.

yearjournalcountryeditionlanguage
2014-10-26
https://doi.org/10.1007/978-3-319-10825-4_8