Metamorphoses of Electron Systems Hosting a Fermion Condensate

Abstract

We present a unified theory of strongly correlated electron systems with a fermion condensate. This theoretical framework facilitates quantitative analysis and explanation, on an equal footing, of (i) non-Fermi-liquid behavior of high-Tc superconductors in which the critical temperature for superconductivity is proportional to the Fermi energy TF and (ii) the so-called quantum electron solid state in the two-dimensional electron liquid of MOSFETs and SiGe/Si/SiGe quantum wells. In this framework, low-temperature chaotic-like behavior that is documented in experimental studies of these systems is attributed to a spontaneous topological rearrangement of the conventional Landau state, quite in contrast to models in which the chaotic element is introduced deliberately in terms of a chaotic distribution of interaction matrix elements.