[NCTS Physics Research Highlights] Chia-Min Chung 'Coexistence of superconductivity with partially filled stripes in the Hubbard model', Science 384, eadh7691 (2024)

• 2024-05-29
• Chen, Jhan Yu 陳詹喻
• High-performance computation and machine learning Interdisciplinary Research

Coexistence of superconductivity with partially filled stripes in the Hubbard model
在哈伯模型中的超導與部份填滿條紋態的共存態

Hao Xu, Chia-Min Chung*, Mingpu Qin, Ulrich Schollwöck, Steven R White, Shiwei Zhang
Science 384, eadh7691 (2024)
DOI: https://www.science.org/doi/10.1126/science.adh7691

Combining the complementary capabilities of two of the most powerful modern computational methods, we find superconductivity in both the electron- and hole-doped regimes of the two-dimensional Hubbard model (with next nearest neighbor hopping). In the electron-doped regime, superconductivity is weaker and is accompanied by antiferromagnetic N´eel correlations at low doping. The strong superconductivity on the hole-doped side coexists with stripe order, which persists into the overdoped region with weaker hole density modulation. These stripe orders, neither filled as in the pure Hubbard model nor half-filled as seen in previous state-of-the-art calculations, vary in fillings between 0.6 and 0.8. These results validate the applicability of this iconic model for describing cuprate high-Tc superconductivity.

藉由結合了兩種最先進且互相互補的計算方法，我們發現，在具有次近鄰躍遷的二維哈伯模型中，在電子和電洞參雜區域都存在超導性。在電子參雜區域，在低參雜情況下，超導性伴隨著反鐵磁關聯。在電洞參雜區域，相對更強的超導性與條紋序共存。這些條紋序的填充率介於0.6到0.8之間，既不像單純哈伯模型中那樣的完全填滿，也不像之前最新的計算中所見的那樣半填滿。這些結果驗證了這一標誌性模型在描述銅氧化物高溫超導性方面的適用性。