We study a resonant Bose-Fermi mixture at zero temperature by using the fixed-node diffusion Monte Carlo method. We explore the system from weak to strong boson-fermion interaction, for different concentrations of the bosons relative to the fermion component. We focus on the case where the boson density n(B) is smaller than the fermion density n(F), for which a first-order quantum phase transit...

Based on the Keldysh formalism, we derive an effective Boltzmann equation for a quasiparticle constrained within a particular Fermi surface in an interacting Fermi liquid. This provides a many-body derivation of Berry curvatures in electron dynamics with spin-orbit coupling, which has received much attention in recent years in noninteracting models. As is well known, the Berry curvature in mome...

Chiral symmetry breaking in a purely fermionic theory is investigated by the help of the renormalization group method. The RG equation for the running mass m k admits a solution with vanishing bare mass and finite physical mass. The running Fermi coupling constant, G k , converges to a finite (renormalized) physical value. It is also shown that the RG equation for˜G, the dimensionless Fermi cou...

Abstract We present a new approach to study the one-dimensional Dirac equation in background of position-dependent mass m . Taking Fermi velocity v f be local variable, we explore resulting structure coupled equations and arrive at an interesting constraint turning out inverse square address several solvable systems that include free particle, shifted harmonic oscillator, Coulomb nonpolynomial ...