Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe$_2$

Fuente: arXiv
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Auteurs principaux: Tuo, Chuyi, Li, Ming-Rui, Wu, Zhengzhi, Sun, Wen, Yao, Hong
Format: Preprint
Publié: 2024
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author Tuo, Chuyi
Li, Ming-Rui
Wu, Zhengzhi
Sun, Wen
Yao, Hong
author_facet Tuo, Chuyi
Li, Ming-Rui
Wu, Zhengzhi
Sun, Wen
Yao, Hong
contents Since the very recent discovery of unconventional superconductivity in twisted WSe$_2$ homobilayers at filling $ν=-1$, considerable interest has arisen in revealing its mechanism. In this paper, we developed a three-band tight-binding model with non-trivial band topology by direct Wannierization of the low-energy continuum model. Incorporating both onsite Hubbard repulsion and next-nearest-neighbor attraction, we then performed a mean-field analysis of the microscopic model and obtained a phase diagram qualitatively consistent with the experiment results. For zero or weak displacement field, the ground state is a Chern number $C=\pm 2$ topological superconductor in the Altland-Zirnbauer A-class (breaking time-reversal but preserving total $S_z$ symmetry) with inter-valley pairing dominant in $d_{xy}\pm id_{x^2-y^2}$-wave (mixing with a subdominant $p_x\mp i p_y$-wave) component. For a relatively strong displacement field, the ground state is a correlated insulator with the $120^\circ$ antiferromagnetic order. Our results provide new insights into the nature of the twisted WSe$_2$ systems and suggest the need for further theoretical and experimental explorations.
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publishDate 2024
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spellingShingle Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe$_2$
Tuo, Chuyi
Li, Ming-Rui
Wu, Zhengzhi
Sun, Wen
Yao, Hong
Strongly Correlated Electrons
Superconductivity
Since the very recent discovery of unconventional superconductivity in twisted WSe$_2$ homobilayers at filling $ν=-1$, considerable interest has arisen in revealing its mechanism. In this paper, we developed a three-band tight-binding model with non-trivial band topology by direct Wannierization of the low-energy continuum model. Incorporating both onsite Hubbard repulsion and next-nearest-neighbor attraction, we then performed a mean-field analysis of the microscopic model and obtained a phase diagram qualitatively consistent with the experiment results. For zero or weak displacement field, the ground state is a Chern number $C=\pm 2$ topological superconductor in the Altland-Zirnbauer A-class (breaking time-reversal but preserving total $S_z$ symmetry) with inter-valley pairing dominant in $d_{xy}\pm id_{x^2-y^2}$-wave (mixing with a subdominant $p_x\mp i p_y$-wave) component. For a relatively strong displacement field, the ground state is a correlated insulator with the $120^\circ$ antiferromagnetic order. Our results provide new insights into the nature of the twisted WSe$_2$ systems and suggest the need for further theoretical and experimental explorations.
title Theory of Topological Superconductivity and Antiferromagnetic Correlated Insulators in Twisted Bilayer WSe$_2$
topic Strongly Correlated Electrons
Superconductivity
url https://arxiv.org/abs/2409.06779