Probing a modified Luttinger sum rule in the strongly interacting one-dimensional Fermi-Hubbard model

Boehler, Annika and Schloemer, Henning and Schollwoeck, Ulrich and Bohrdt, Annabelle and Grusdt, Fabian (2025) Probing a modified Luttinger sum rule in the strongly interacting one-dimensional Fermi-Hubbard model. PHYSICAL REVIEW B, 111 (4): 045107. ISSN 2469-9950, 2469-9969

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Abstract

Fermi surface reconstruction in cuprates can lead to an abrupt change in the Fermi momentum kF between different phases. This phenomenon remains a subject of debate and is at the heart of an ongoing discussion about the nature of the metallic state in the pseudogap regime. Here we study a minimal model of a kF changing crossover in the one-dimensional Fermi-Hubbard model, where a tuning of the on-site interaction leads to a crossover between a spin-1/2 Luttinger liquid with small Fermi momentum and a spinless chargon liquid with large Fermi momentum. We attribute this to an emergent U (1) symmetry in the strongly correlated limit, which can be used to derive a modified Luttinger sum rule recovering the large Fermi momentum. We analyze Friedel oscillations at the edge of a system to directly probe the change of Fermi momentum at zero and nonzero temperature. This paves the way for a direct experimental observation of changes of the Fermi momentum using ultracold fermions in a quantum gas microscope, with possible extensions to higher dimensional systems.

Item Type: Article
Uncontrolled Keywords: QUANTUM OSCILLATIONS; DENSITY; PSEUDOGAP; SURFACE; THEOREM; PHYSICS; ATOMS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group Milena Grifoni
Physics > Institute of Theroretical Physics > Chair Professor Grifoni > Group John Schliemann
Depositing User: Dr. Gernot Deinzer
Date Deposited: 26 May 2026 11:36
Last Modified: 26 May 2026 11:36
URI: https://pred.uni-regensburg.de/id/eprint/67432

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