Fermi and Luttinger Arcs: Two Concepts, Realized on One Surface

Area of Science:

• Condensed Matter Physics
• Quantum Materials
• Electronic Structure Theory

Background:

• Cuprates exhibit complex electronic behaviors, including Fermi surface modifications like Fermi arcs and pseudogaps.
• Understanding these phenomena is crucial for developing advanced electronic materials.

Purpose of the Study:

• To present an analytically solvable model for correlated electrons.
• To capture key Fermi surface modifications in doped cuprates.
• To elucidate the mechanism behind Fermi arc and pseudogap formation.

Main Methods:

• Development of an analytical model and Hamiltonian.
• Qualitative reproduction of results from dynamical vertex approximation (DVA) many-body calculations.
• Analysis of electronic state transformations.

Main Results:

• The model successfully captures Fermi surface modifications in both hole- and electron-doped cuprates.
• It provides a transparent mechanism for the formation of disconnected Fermi arcs.
• The model explains the opening of a pseudogap through the transformation of Fermi surface segments into Luttinger arcs.

Conclusions:

• The analytical model offers a simplified yet accurate description of complex electronic phenomena in cuprates.
• It clarifies the distinct roles of electronic states on Fermi arcs and Luttinger arcs.
• This work provides a foundational understanding for further research into correlated electron systems.