Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-08-19
Phys.Atom.Nucl.74:1237-1266,2011
Physics
Condensed Matter
Strongly Correlated Electrons
26 pages, 14 figures. Dedicated to 100th anniversary of A.B.Migdal birthday
Scientific paper
10.1134/S1063778811090079
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.
Clark John Willis
Khodel Victor A.
Zverev M. V.
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