Strongly correlated Fermi systems as a new state of matter
arXiv:1608.02754 · doi:10.1007/s11467-016-0608-0
Abstract
The aim of this review paper is to expose a new state of matter exhibited by strongly correlated Fermi systems represented by various heavy-fermion (HF) metals, two-dimensional liquids like , compounds with quantum spin liquids, quasicrystals, and systems with one-dimensional quantum spin liquid. We name these various systems HF compounds, since they exhibit the behavior typical of HF metals. In HF compounds at zero temperature the unique phase transition, dubbed throughout as the fermion condensation quantum phase transition (FCQPT) can occur; this FCQPT creates flat bands which in turn lead to the specific state, known as the fermion condensate. Unlimited increase of the effective mass of quasiparticles signifies FCQPT; these quasiparticles determine the thermodynamic, transport and relaxation properties of HF compounds. Our discussion of numerous salient experimental data within the framework of FCQPT resolves the mystery of the new state of matter. Thus, FCQPT and the fermion condensation can be considered as the universal reason for the non-Fermi liquid behavior observed in various HF compounds. We show analytically and using arguments based completely on the experimental grounds that these systems exhibit universal scaling behavior of their thermodynamic, transport and relaxation properties. Therefore, the quantum physics of different HF compounds is universal, and emerges regardless of the microscopic structure of the compounds. This uniform behavior allows us to view it as the main characteristic of a new state of matter exhibited by HF compounds.
Review paper, 20 pages, 15 figures, accepted by Frontiers of Physics. arXiv admin note: text overlap with arXiv:1311.0629, minor typos corrected
References in corpus (24)
- Fermi-liquid instabilities at magnetic quantum phase transitions
- A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
- Quantum critical state in a magnetic quasicrystal
- Multiple energy scales at a quantum critical point
- The magnetic groundstate of an experimental kagomé antiferromagnet
- ^{63}Cu, ^{35}Cl, and ^{1}H NMR in the S=1/2 Kagomé Lattice ZnCu_{3}(OH)_{6}Cl_{2}
- Dynamic Scaling in the Susceptibility of the Spin-1\2 Kagome Lattice Antiferromagnet Herbertsmithite
- Scaling Behavior of Heavy Fermion Metals
- Universal Behavior in Heavy Electron Materials
- Fermionic Quasiparticle Representation of Tomonaga-Luttinger Hamiltonian
- Universal Behavior of Two-Dimensional 3He at Low Temperatures
- Anomalous scaling behavior of the dynamical spin susceptibility of CeLaRuSi
- Merging of Landau levels in a strongly-interacting two-dimensional electron system in silicon
- Two Scenarios of the Quantum Critical Point
- Quantum critical behavior in heavy electron materials
- Scaling in Dynamic Susceptibility of Herbertsmithite and Heavy-Fermion Metals
- Strongly correlated Fermi-systems: non-Fermi liquid behavior, quasiparticle effective mass and their interplay
- General properties of phase diagrams of heavy-fermion metals
- From quantum criticality to enhanced thermopower in strongly correlated layered cobalt oxide
- One-Dimensional Fermions with neither Luttinger-Liquid nor Fermi-Liquid Behavior
- The thermopower as a fingerprint of the Kondo breakdown quantum critical point
- Spiky density of states in large complex Al-Mn phases
- Magnetization study of the energy scales in YbRhSi under chemical pressure
- Baryon asymmetry resulting from a quantum phase transition in the early universe