SciPost Submission Page
Characterizing Mott Insulators in the Interacting One-Body Picture
by Theo N. Dionne, Santiago Villodre, Mikel Iraola, Maia G. Vergniory
Submission summary
| Authors (as registered SciPost users): | Theo Dionne |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2511.07331v2 (pdf) |
| Code repository: | https://github.com/TheoNDionne/SciPost-HDC-Submission |
| Date submitted: | Feb. 5, 2026, 9:21 a.m. |
| Submitted by: | Theo Dionne |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
We present a framework to characterize Mott insulating phases within the interacting one-body picture, focusing on the Hubbard diamond chain featuring both Hubbard interactions and spin-orbit coupling simulated within cellular dynamical mean field theory. Using symmetry analysis of the single-particle Green's function, we classify spectral functions by irreducible representations at high-symmetry points of the Brillouin zone. Complementarily, we calculate the one-body reduced density matrix which allows us to reach both a qualitative description of charge distribution and an analysis of the state purity. Moreover, within the Tensor Network framework, we employ a Density Matrix Renormalization Group approach to confirm the presence of three distinct phases and their corresponding phase transitions. Our results highlight how symmetry-labelled spectral functions and effective orbital analysis provide accessible single-particle tools for probing correlation-driven insulating phases.