Different scenarios of topological phase transitions in homogeneous neutron matter

Abstract

We study different scenarios of topological phase transitions in the vicinity of the π^0 condensation point in neutron matter. The transitions occur between the Fermi-liquid state and a topologically different one with two sheets of the Fermi surface. Two possibilities of a rearrangement of quasiparticle degrees of freedom are shown: the first-order topological phase transition and the second-order one. The order of the phase transition is found to be strongly dependent on the value of the critical wave vector of the soft π^0 mode. The thermodynamics of the system is also studied. It is shown that the topology of the quasiparticle momentum distribution is mainly determined by the neutron matter density, while the temperature T is essential in a narrow density region. A simple explanation of the first-order topological phase transition at T=0 is given.

arXiv comment8 pages, 11 figures. The English of the text was revised; 2 references were added; minor changes in figures were made; all results remained unchanged

References in corpus (12)

• The equation of state for nucleon matter and neutron star structure
• Spin-Isospin Structure and Pion Condensation in Nucleon Matter
• Quantum phase transitions from topology in momentum space
• Topology of the Fermi Surface Beyond the Quantum Critical Point
• Phase Transitions in Nucleonic Matter and Neutron-Star Cooling
• Ground state instability in systems of strongly interacting fermions
• Adaptation of the Landau-Migdal Quasiparticle Pattern to Strongly Correlated Fermi Systems
• Rearrangement of the Fermi Surface of Dense Neutron Matter and Direct Urca Cooling of Neutron Stars
• Two Scenarios of the Quantum Critical Point
• Topological crossovers near a quantum critical point
• Mechanisms driving alteration of the Landau state in the vicinity of a second-order phase transition
• Fermi surface reconstruction in strongly correlated Fermi systems as a first order phase transition

Cited by in corpus (3)

• Single-particle potential from resummed ladder diagrams
• ${}^1{S}_0$ pairing for neutrons in dense neutron matter induced by a soft pion
• Local energy density functional for superfluid Fermi gases from effective field theory