arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2212.06263cond-mat.str-elcond-mat.mes-hall
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一维光掺杂莫特绝缘体中的自旋、电荷和$η$ -自旋分离

Spin, charge and $η$-spin separation in one-dimensional photo-doped Mott insulators

Yuta Murakami, Shintaro Takayoshi, Tatsuya Kaneko, Andreas M. Läuchli, Philipp Werner

摘要:

我们证明了一维光掺杂莫特绝缘体中的有效冷亚稳态具有自旋、电荷和$η$ -自旋分离。也就是说,它们在大的在位库仑相互作用极限下的波函数可以表示为$|Ψ\rangle =|Ψ_{\rm charge}\rangle|Ψ_{\rm spin}\rangle |Ψ_{\rm η-spin}\rangle$,这类似于平衡时掺杂Hubbard模型的Ogata-Shiba态。这里,$η$ -自旋表示光生赝粒子的类型(doublon或holon)。$|Ψ_{\rm charge}\rangle$由无自旋自由费米子确定,$|Ψ_{\rm spin}\rangle$由压缩自旋空间中的各向同性海森堡模型确定,而$|Ψ_{\rm η-spin}\rangle$由压缩$η$ -自旋空间中的XXZ模型确定。特别地,亚稳态的$η$配对和电荷密度波(CDW)状态对应于XXZ模型的无隙和有隙状态。波函数的特定形式使我们能够精确地确定关联函数的指数。该形式还表明,$η$ -配对状态的中心电荷是3和CDW相的中心电荷是2,这是我们数值证实。我们的研究提供了分析和直观的见解,在光掺杂的强关联系统的活性自由度之间的相关性。

英文摘要:

We show that effectively cold metastable states in one-dimensional photo-doped Mott insulators described by the extended Hubbard model exhibit spin, charge and $η$-spin separation. Namely, their wave functions in the large on-site Coulomb interaction limit can be expressed as $|Ψ\rangle =|Ψ_{\rm charge}\rangle|Ψ_{\rm spin}\rangle |Ψ_{\rm η-spin}\rangle$, which is analogous to the Ogata-Shiba states of the doped Hubbard model in equilibrium. Here $η$-spin represents the type of the photo-generated pseudeparticles (doublon or holon). $|Ψ_{\rm charge}\rangle$ is determined by spinless free fermions, $|Ψ_{\rm spin}\rangle$ by the isotropic Heisenberg model in the squeezed spin space, and $|Ψ_{\rm η-spin}\rangle$ by the XXZ model in the squeezed $η$-spin space. In particular, the metastable $η$-pairing and charge-density-wave (CDW) states correspond to the gapless and gapful states of the XXZ model. The specific form of the wave function allows us to accurately determine the exponents of correlation functions. The form also suggests that the central charge of the $η$-pairing state is 3 and that of the CDW phase is 2, which we numerically confirm. Our study provides analytic and intuitive insights into the correlations between active degrees of freedom in photo-doped strongly correlated systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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