Determining the Fermi Surface from Arpes Integrals

ARPES integrals are related to the momentum distribution n$\text{}_{k}$. In case of a metal, points k$\text{}_{F}$ on the Fermi surface were identified by: (i) a change of sign in the temperature variation of the ARPES integrals or (ii) maximum slope in its angular variation. These criteria are based on the assumption of particle-hole symmetry in the vicinity of the Fermi edge. Here, we check (i) and (ii) on the level of the momentum distribution, for an electronic structure with most of its incoherent weight below the Fermi edge. Evaluating n$\text{}_{k}$(T) up to T ≈ Δ*, a Fermi liquid coherence energy, we find: criterion (i) remains stable, while (ii) deviates from k$\text{}_{F}$ ∝ m*T/k$\text{}_{F}$. Published data on the hole doped t-J model are examined in this light.