TYC Seminar: Transformation of a Fermi surface into Luttinger arcs: A novel analytical insight – Alessandro Toschi, TU Wien, Austria

Alessandro Toschi, Institute of Solid State Physics, TU Wien, Austria

Transformation of a Fermi surface into Luttinger arcs: A novel analytical insight
I will present [1] an analytically solvable model for correlated electrons, which is able to capture the major Fermi surface modifications occurring in both hole- and electron-doped cuprates as a function of doping. The proposed Hamiltonian, which represents an extension of the Hatsugai-Kohmoto model [2], qualitatively reproduces the results of numerically demanding many-body calculations, here obtained using the dynamical vertex approximation [3] in its ladder implementation. Our analytical theory provides a transparent description of a precise mechanism, capable of driving the formation of disconnected segments along the Fermi surface (the highly debated “Fermi arcs”), as well as the opening of a pseudogap in hole and electron doping. This occurs through a specific mechanism: The electronic states on the Fermi arcs remain intact, while the Fermi surface part where the gap opens transforms into a Luttinger arc.

[1] P. Worm, M. Reitner, K. Held, and A. Toschi, Phys. Rev. Lett. 133, 166501 (2024).

[2] Y. Hatsugai and M. Kohmoto, J. Phys. Soc. Jpn. 61, 2056 (1992).

[3] A. Toschi, A.A. Katanin, and K. Held, Phys. Rev. B 75, 045118

(2007); G. Rohringer et al., Rev. Mod. Phys. 90, 025003 (2018).