An Exact Conjugation Identity for the Many-Body Wilson Loop Beyond Quantization

arXiv:2603.22217 · cond-mat.str-el, cond-mat.mes-hall · Submitted 2026-03-23 · Read on arXiv

cond-mat.str-el, cond-mat.mes-hall

Submitted: 2026-03-23

Updated: 2026-09-23

Comments: 4 pages, 2 figures. v2: Improved readability of the manuscript and added Supplemental Material as an ancillary file. v3 : Updated for the SCES 2026 proceedings. The Supplemental Material was also revised to provide a rigorous Slater-determinant treatment of the periodicity of the $θ$ cycle within the band

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Quantization — 10× in this paper · explained in 12 episodes
• Holonomy — 4× in this paper · explained in 2 episodes
• Consistency — 3× in this paper · explained in 3 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Chern Number — 1× in this paper · explained in 4 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes

Sources

• Symmetry-enforced agreement of Kohn--Sham and many-body Berry phases in the SSH--Hubbard chain

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