A low-energy effective Hamiltonian for Landau quasiparticles: I. A unified theory of transport and superfluidity in Fermi liquids
This research develops a unified effective Hamiltonian for Landau quasiparticles in Fermi fluids using an energy cutoff ($\Lambda$). It systematically removes resonant couplings to define well-behaved quasiparticles, unifying transport ($A$), pairing ($g$), and normal fluid dynamics ($f$) into one framework. This allows for the derivation of key relations and the calculation of low-energy phenomena across both normal and superfluid phases.