Related papers: Eta-pairing state in flatband lattice: Interband coupling effect on entanglement entropy logarithm

Eta-pairing state in flatband lattice: Interband coupling effect on entanglement entropy logarithm

URL: http://arxiv.org/abs/2504.17845v1
Date: Thu, 24 Apr 2025 18:00:01 GMT
Title: Eta-pairing state in flatband lattice: Interband coupling effect on entanglement entropy logarithm
Authors: Seik Pak, Hanbyul Kim, Chan Bin Bark, Sang-Jin Sin, Jae-yoon Choi, Moon Jip Park,
Abstract summary: In multi-band systems, eta-pairing can be exact eigenstate when the band is flat without interband coupling.<n>We show corrections to entanglement entropy scaling, with modified eta-pairing states displaying broadened doublons.<n>These findings illuminate the robustness and limitations of eta-pairing in realistic flatband systems.
Score: 1.2591422242459047
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: The eta-pairing state is the eigenstate of the hypercubic Hubbard model, which exhibits anomalous logarithmic scaling of entanglement entropy. In multi-band systems, eta-pairing can be exact eigenstate when the band is flat without interband coupling. However, typical flatband systems such as Lieb and Kagome lattices often feature band touchings, where interband coupling effects are non-negligible. Using the Creutz ladder, we investigate the deformation of eta-pairing states under the interband coupling effect. Our results show corrections to entanglement entropy scaling, with modified eta-pairing states displaying broadened doublons, nonuniform energy spacing, and deviations from exact behavior for configurations with more than one eta-pair, even in the large band gap limit, except at t = 0. Through a Schrieffer-Wolff transformation, we quantify corrections to the spectrum generating algebra, offering insights into the interplay between interaction-driven phenomena and band structure effects. These findings illuminate the robustness and limitations of eta-pairing in realistic flatband systems.

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