arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2303.14830cond-mat.mtrl-sci
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单层SrTiO $_3$的准粒子和激子性质

Quasiparticle and excitonic properties of monolayer SrTiO$_3$

Lorenzo Varrassi, Peitao Liu, Cesare Franchini

摘要:

钛酸锶SrTiO $_3$是研究最多和最典型的过渡金属氧化物之一。最近,一个突破已经实现了独立的SrTiO $_3$薄膜的制造下降到单层限制。然而,多体效应对单层SrTiO $_3$的准粒子和光学性质的影响还没有得到研究。采用GW近似下的多体微扰理论,结合Bethe-Salpeter方程,研究了单层SrTiO $_3$的准粒子能带结构、光学和激子性质.我们发现,准粒子修正显着改变能带结构拓扑结构,然而,广泛使用的对角$G_0W_0$方法产生非物理带色散。只有考虑到非对角元素的自能恢复正确的频带色散。通过计算电子能量损失谱,研究了光学极限和有限动量下的光学性质。我们发现,在长波长极限的介电函数的虚部是由三个强烈的束缚激子峰和直接光学带隙是与一个明亮的激子态与一个大的结合能为0.93 eV。我们通过带间跃迁讨论了激子峰的性质,发现当沿$Γ$ -M方向的动量有限时,最低束缚激子态变为光学惰性,而当动量接近M时,另外两个激子峰向更高的能量分散并最终合并.

英文摘要:

Strontium titanate SrTiO$_3$ is one of the most studied and paradigmatic transition metal oxides. Recently, a breakthrough has been achieved with the fabrication of freestanding SrTiO$_3$ ultrathin films down to the monolayer limit. However, the many-body effects on the quasiparticle and optical properties of monolayer SrTiO$_3$ remain unexplored. Using state-of-the-art many-body perturbation theory in the GW approximation combined with the Bethe-Salpeter equation, we study the quasiparticle band structure, optical and excitonic properties of monolayer SrTiO$_3$. We show that quasiparticle corrections significantly alter the band structure topology; however, the widely used diagonal $G_0W_0$ approach yields unphysical band dispersions. The correct band dispersions are restored only by taking into account the off-diagonal elements of the self-energy. The optical properties are studied both in the optical limit and for finite momenta by computing the electron energy loss spectra. We find that the imaginary part of dielectric function at the long wavelength limit is dominated by three strongly bound excitonic peaks and the direct optical gap is associated to a bright exciton state with a large binding energy of 0.93 eV. We discuss the character of the excitonic peaks via the contributing interband transitions, and reveal that the lowest bound excitonic state becomes optical inactive for finite momenta along $Γ$-M, while the other two excitonic peaks disperse to higher energies and eventually merge for momenta close to M.

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