Mechanisms driving alteration of the Landau state in the vicinity of a second-order phase transition

Abstract

The rearrangement of the Fermi surface of a homogeneous Fermi system upon approach to a second-order phase transition is studied at zero temperature. The analysis begins with an investigation of solutions of the equation $\epsilon (p)=\mu$, a condition that ordinarily has the Fermi momentum $p_F$ as a single root. The emergence of a bifurcation point in this equation is found to trigger a qualitative alteration of the Landau state, well before the collapse of the collective degree of freedom that is responsible for the second-order transition. The competition between mechanisms that drive rearrangement of the Landau quasiparticle distribution is explored, taking into account the feedback of the rearrangement on the spectrum of critical fluctuations. It is demonstrated that the transformation of the Landau state to a new ground state may be viewed as a first-order phase transition.

16 pages, 10 figures

References in corpus (6)

• The equation of state for nucleon matter and neutron star structure
• Metal-insulator transition in two-dimensional electron systems
• The thermodynamic spin magnetization of strongly correlated 2d electrons in a silicon inversion layer
• Multi-connected Momentum Distribution and Fermion Condensation
• The effective mass of two--dimensional 3He
• Rearrangement of the Fermi Surface of Dense Neutron Matter and Direct Urca Cooling of Neutron Stars

Cited by in corpus (4)

• Adaptation of the Landau-Migdal Quasiparticle Pattern to Strongly Correlated Fermi Systems
• Damping effects and the metal-insulator transition in the two-dimensional electron gas
• Different scenarios of topological phase transitions in homogeneous neutron matter
• Thermodynamic properties of Fermi systems with flat single-particle spectra