Correlation-driven branch in doped excitonic insulators
Tatsuya Kaneko, Ryota Ueda, Satoshi Ejima

TL;DR
This paper uses matrix-product-state methods to study doped excitonic insulators, revealing a correlation-driven in-gap spectral branch linked to excitonic correlations, which could serve as an indicator of electron-hole interactions.
Contribution
It introduces a numerical approach to identify a doping-induced in-gap branch associated with excitonic correlations in doped one-dimensional insulators.
Findings
Discovery of a correlation-driven in-gap branch in doped excitonic insulators.
The in-gap branch is linked to excitonic correlations and can serve as an indicator.
Numerical methods reveal the propagation dynamics underlying the in-gap feature.
Abstract
We investigate the spectral properties of doped one-dimensional excitonic insulators. Employing matrix-product-state-based methods, we compute the single-particle spectrum and optical conductivity in a correlated two-band model. Our numerical calculation reveals the emergence of a correlation-driven in-gap branch in the doped state. The origin of the in-gap branch is examined by decomposing the propagation dynamics of a single particle, elucidating that the doping-induced branch is associated with excitonic correlations. Our demonstrations suggest that the doping-induced branch can serve as an indicator of electron-hole correlations.
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