Competing phases and suppression of superconductivity in hole-doped Hubbard model on honeycomb lattice

doi:10.1088/1674-1056/adcb20

中国物理B ›› 2025, Vol. 34 ›› Issue (7): 77102-077102.doi: 10.1088/1674-1056/adcb20

Competing phases and suppression of superconductivity in hole-doped Hubbard model on honeycomb lattice

Hao Zhang(张浩)¹, Shaojun Dong(董少钧)², and Lixin He(何力新)^1,2,3,†

1 CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China;
2 Institute of Artificial Intelligence, Hefei Comprehensive National Science Center, Hefei 230088, China;
3 Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China

收稿日期:2025-02-24 修回日期:2025-04-09 接受日期:2025-04-10 出版日期:2025-06-18 发布日期:2025-07-03
通讯作者: Lixin He E-mail:helx@ustc.edu.cn
基金资助:
We thank Hongchen Jiang for helpful discussion. Project supported by the National Natural Science Foundation of China (Grant Nos. 12134012 and 12104433).

Competing phases and suppression of superconductivity in hole-doped Hubbard model on honeycomb lattice

Hao Zhang(张浩)¹, Shaojun Dong(董少钧)², and Lixin He(何力新)^1,2,3,†

1 CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei 230026, China;
2 Institute of Artificial Intelligence, Hefei Comprehensive National Science Center, Hefei 230088, China;
3 Hefei National Laboratory, University of Science and Technology of China, Hefei 230088, China

Received:2025-02-24 Revised:2025-04-09 Accepted:2025-04-10 Online:2025-06-18 Published:2025-07-03
Contact: Lixin He E-mail:helx@ustc.edu.cn
Supported by:
We thank Hongchen Jiang for helpful discussion. Project supported by the National Natural Science Foundation of China (Grant Nos. 12134012 and 12104433).

摘要/Abstract

摘要： We investigate the hole-doped Hubbard model on a honeycomb lattice using a fermionic projected entangled pair states (fPEPS) method. Our study reveals the presence of quasi-long-range order of Cooper pairs, characterized by power-law decay of correlation functions with exponents $K>1$. We further analyze the competing phases of superconductivity, specifically the antiferromagnetic (AFM) order and the charge density wave (CDW) order. Our results show that there are domain wall structures when the hole doping $\delta$ is small and the Coulomb parameter $U$ is large. However, these structures disappear as we increase the hole doping $\delta$ or decrease $U$. Furthermore, for small hole doping, the system exhibits AFM order, which diminishes for $\delta > 0.05$. Conversely, as the doping level increases, the CDW order gradually decreases. Notably, a considerable CDW order persists even at higher doping levels. These findings suggest a progressive suppression of the AFM order and a growing prominence of the CDW order with increasing $\delta$.

关键词: Hubbard model, honeycomb lattice, superconductivity, fermionic projected entangled pair states

Abstract: We investigate the hole-doped Hubbard model on a honeycomb lattice using a fermionic projected entangled pair states (fPEPS) method. Our study reveals the presence of quasi-long-range order of Cooper pairs, characterized by power-law decay of correlation functions with exponents $K>1$. We further analyze the competing phases of superconductivity, specifically the antiferromagnetic (AFM) order and the charge density wave (CDW) order. Our results show that there are domain wall structures when the hole doping $\delta$ is small and the Coulomb parameter $U$ is large. However, these structures disappear as we increase the hole doping $\delta$ or decrease $U$. Furthermore, for small hole doping, the system exhibits AFM order, which diminishes for $\delta > 0.05$. Conversely, as the doping level increases, the CDW order gradually decreases. Notably, a considerable CDW order persists even at higher doping levels. These findings suggest a progressive suppression of the AFM order and a growing prominence of the CDW order with increasing $\delta$.

Key words: Hubbard model, honeycomb lattice, superconductivity, fermionic projected entangled pair states

中图分类号: (Lattice fermion models (Hubbard model, etc.))

71.10.Fd

74.25.Dw (Superconductivity phase diagrams) 73.22.Pr (Electronic structure of graphene) 02.70.-c (Computational techniques; simulations)

Hao Zhang(张浩), Shaojun Dong(董少钧), and Lixin He(何力新). Competing phases and suppression of superconductivity in hole-doped Hubbard model on honeycomb lattice[J]. 中国物理B, 2025, 34(7): 77102-077102.

Hao Zhang(张浩), Shaojun Dong(董少钧), and Lixin He(何力新). Competing phases and suppression of superconductivity in hole-doped Hubbard model on honeycomb lattice[J]. Chin. Phys. B, 2025, 34(7): 77102-077102.

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Competing phases and suppression of superconductivity in hole-doped Hubbard model on honeycomb lattice

Competing phases and suppression of superconductivity in hole-doped Hubbard model on honeycomb lattice

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