Adaptation of the Landau-Migdal Quasiparticle Pattern to Strongly Correlated Fermi Systems

Abstract

A quasiparticle pattern advanced in Landau's first article on Fermi liquid theory is adapted to elucidate the properties of a class of strongly correlated Fermi systems characterized by a Lifshitz phase diagram featuring a quantum critical point (QCP) where the density of states diverges. The necessary condition for stability of the Landau Fermi Liquid state is shown to break down in such systems, triggering a cascade of topological phase transitions that lead, without symmetry violation, to states with multi-connected Fermi surfaces. The end point of this evolution is found to be an exceptional state whose spectrum of single-particle excitations exhibits a completely flat portion at zero temperature. Analysis of the evolution of the temperature dependence of the single-particle spectrum yields results that provide a natural explanation of classical behavior of this class of Fermi systems in the QCP region.

26 pages, 14 figures. Dedicated to 100th anniversary of A.B.Migdal birthday

References in corpus (14)

• The electronic properties of graphene
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Electronic states and Landau levels in graphene stacks
• Metal-insulator transition in two-dimensional electron systems
• A Non-Fermi Liquid from a Charged Black Hole; A Critical Fermi Ball
• Scaling Behavior of Heavy Fermion Metals
• Spin-independent origin of the strongly enhanced effective mass in a dilute 2D electron system
• Quantum critical properties of the Bose-Fermi Kondo Model in a large-N limit
• Curie law, entropy excess, and superconductivity in heavy fermion metals and other strongly interacting Fermi liquids
• Dimensional crossover of quantum critical behavior in CeCoIn${}_5$
• Merging of single-particle levels and non-Fermi-liquid behavior of finite Fermi systems
• Second wind of the Dulong-Petit Law at a quantum critical point
• Two Scenarios of the Quantum Critical Point

Cited by in corpus (15)

• Common quantum phase transition in quasicrystals and heavy-fermion metals
• Challenging Magnetic Field Dependence of the Residual Resistivity of the Heavy-Fermion Metal CeCoIn5
• Quasi-classical physics and T-linear resistivity in both strongly correlated and ordinary metals
• Entropy paradox in strongly correlated Fermi systems
• Occurrence of flat bands in strongly correlated Fermi systems and high-$T_c$ superconductivity of electron-doped compounds
• Topological disorder triggered by interaction-induced flattening of electron spectra in solids
• Flat Bands and Enigma of Metamagnetic Quantum Critical Regime in Sr3Ru2O7
• Conventional BCS, Unconventional BCS, and Non-BCS Hidden Dineutron Phases in Neutron Matter
• Different scenarios of topological phase transitions in homogeneous neutron matter
• Universal $T/B$ scaling behavior of heavy fermion compounds
• Fermion condensate generates a new state of matter by making flat bands
• Fate of the Wiedemann-Franz law near quantum critical points of electron systems in solids
• The occurrence of a Mott-like gap in single-particle spectra of electron systems possessing flat bands
• Theory of fermion condensation as an analog of the liquid-drop theory of atomic nuclei
• A unified quasiparticle approach to the theory of strongly correlated electron liquids