Topological crossovers near a quantum critical point

Abstract

We study the temperature evolution of the single-particle spectrum $\epsilon (p)$ and quasiparticle momentum distribution $n(p)$ of homogeneous strongly correlated Fermi systems beyond a point where the necessary condition for stability of the Landau state is violated, and the Fermi surface becomes multi-connected by virtue of a topological crossover. Attention is focused on the different non-Fermi-liquid temperature regimes experienced by a phase exhibiting a single additional hole pocket compared with the conventional Landau state. A critical experiment is proposed to elucidate the origin of NFL behavior in dense films of liquid ${}^3$He.

7 pages, 6 figures

References in corpus (10)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
• Scaling Behavior of Heavy Fermion Metals
• Evolution of magnetism in Yb(Rh_(1-x)Co_x)2Si2
• Curie law, entropy excess, and superconductivity in heavy fermion metals and other strongly interacting Fermi liquids
• Violation of critical universality at the antiferromagnetic phase transition of YbRh2Si2
• Two Scenarios of the Quantum Critical Point
• Divergence of the Heavy Quasiparticle Mass at the Antiferromagnetic Quantum Critical Point in YbRh_2Si_2

Cited by in corpus (2)

• Entropy paradox in strongly correlated Fermi systems
• Different scenarios of topological phase transitions in homogeneous neutron matter