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This book focuses on the topological fermion condensation quantum phase transition (FCQPT), a phenomenon that reveals the complex behavior of all strongly correlated Fermi systems, such as heavy fermion metals, quantum spin liquids, quasicrystals, and two-dimensional systems, considering these as a new state of matter. The book combines theoretical evaluations with arguments based on experimental grounds demonstrating that the entirety of very different strongly correlated Fermi systems demonstrates a universal behavior induced by FCQPT. In contrast to the conventional quantum phase transition, whose physics in the quantum critical region are dominated by thermal or quantum fluctuations and characterized by the absence of quasiparticles, the physics of a Fermi system near FCQPT are controlled by a system of quasiparticles resembling the Landau quasiparticles. The book discusses the modification of strongly correlated systems under the action of FCQPT, representing the “missing” instability, which paves the way for developing an entirely new approach to condensed matter theory; and presents this physics as a new method for studying many-body objects. Based on the authors’ own theoretical investigations, as well as salient theoretical and experimental studies conducted by others, the book is well suited for both students and researchers in the field of condensed matter physics.

Optics. Quantum optics --- Thermal properties of solids --- Solid state physics --- Electrical engineering --- supergeleiding --- vaste stof --- materie (fysica) --- elektronica --- microwaves

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This book explains modern and interesting physics in heavy-fermion (HF) compounds to graduate students and researchers in condensed matter physics. It presents a theory of heavy-fermion (HF) compounds such as HF metals, quantum spin liquids, quasicrystals and two-dimensional Fermi systems. The basic low-temperature properties and the scaling behavior of the compounds are described within the framework of the theory of fermion condensation quantum phase transition (FCQPT). Upon reading the book, the reader finds that HF compounds with quite different microscopic nature exhibit the same non-Fermi liquid behavior, while the data collected on very different HF systems have a universal scaling behavior, and these compounds are unexpectedly uniform despite their diversity. For the reader's convenience, the analysis of compounds is carried out in the context of salient experimental results. The numerous calculations of the non-Fermi liquid behavior, thermodynamic, relaxation and transport properties, being in good agreement with experimental facts, offer the reader solid grounds to learn the theory's applications. Finally, the reader will learn that FCQPT develops unexpectedly simple, yet completely good description of HF compounds.

Physics. --- Solid State Physics. --- Mathematical Methods in Physics. --- Metallic Materials. --- Low Temperature Physics. --- Mathematical physics. --- Materials. --- Physique --- Physique mathématique --- Matériaux --- Physics --- Physical Sciences & Mathematics --- Atomic Physics --- Fermions. --- Interacting boson-fermion models. --- Boson-fermion models, Interacting --- Boson-fermion systems, Interacting --- Fermion-boson models, Interacting --- Fermion-boson systems, Interacting --- IBFM (Nuclear physics) --- Interacting boson-fermion systems --- Fermi-Dirac particles --- Solid state physics. --- Low temperature physics. --- Low temperatures. --- Metals. --- Nuclear collective models --- Bosons --- Fermions --- Particles (Nuclear physics) --- Quantum statistics --- Interacting boson-fermion models --- Leptons (Nuclear physics) --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Physical mathematics --- Materials --- Mathematics --- Cryogenics --- Low temperature physics --- Temperatures, Low --- Temperature --- Cold --- Metallic elements --- Chemical elements --- Ores --- Metallurgy --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Solids