Dynamical Charge Structure Factor of a One-Dimensional Ionic Hubbard Model in the Low-Energy Region

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Yuhei Komaki¹, Yuma Iwase², Shogo Yanagimatsu², Yoshiyuki Muta², Nobuya Maeshima³^,⁴^,

+ Affiliations

¹Doctoral Program in Materials Science, Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan²College of Engineering Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan³Center for Computational Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8577, Japan⁴Division of Materials Science, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan

Received October 24, 2018; Accepted February 18, 2019; Published April 22, 2019

We present a numerical study of the charge dynamical structure factor \(N(k,\omega )\) of a one-dimensional (1D) ionic Hubbard model in the Mott insulator (MI) phase. We show that the low-energy spectrum of \(N(k,\omega )\) is expressed in terms of the spin operators for the spin degrees of freedom. The numerical results for the spin degrees of freedom, obtained by the Lanczos diagonalization method, well reproduce the low-energy spectrum of \(N(k,\omega )\) of the 1D ionic Hubbard model. In addition, we show that these spectral peaks probe the dispersion of the spin-singlet excitations of the system and are observed in a wide parameter region of the MI phase.

https://doi.org/10.7566/JPSJ.88.054709

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Dynamical Charge Structure Factor of a One-Dimensional Ionic Hubbard Model in the Low-Energy Region

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