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Coexistence of antiferromagnetism and unconventional superconductivity in a quasi-one-dimensional flat-band system: Creutz lattice |
| Feng Xu(徐峰)† and Lei Zhang(张磊) |
| School of Physics and Telecommunication Engineering, Shaanxi University of Technology, Hanzhong 723001, China |
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Abstract We study the coexistence of antiferromagnetism and unconventional superconductivity on the Creutz lattice which shows strictly flat bands in the noninteracting regime. The famous renormalized mean-field theory is used to deal with strong electron-electron repulsive Hubbard interaction in the effective low-energy t-J model, the superfluid weight of the unconventional superconducting state has been calculated via the linear response theory. An unconventional superconducting state with both spin-singlet and staggered spin-triplet pairs emerges beyond a critical antiferromagnetic coupling interaction, while antiferromagnetism accompanies this state. The superconducting state with only spin-singlet pairs is dominant with paramagnetic phase. The A phase is analogous to the pseudogap phase, which shows that electrons go to form pairs but do not cause a supercurrent. We also show the superfluid behavior of the unconventional superconducting state and its critical temperature. It is proven directly that the flat band can effectively raise the critical temperature of superconductivity. It is implementable to simulate and control strongly-correlated electrons' behavior on the Creutz lattice in the ultracold atoms experiment or other artificial structures. Our results may help the understanding of the interplay between unconventional superconductivity and magnetism.
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Received: 03 June 2023
Revised: 07 August 2023
Accepted manuscript online: 01 September 2023
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PACS:
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74.20.-z
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(Theories and models of superconducting state)
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74.20.Mn
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(Nonconventional mechanisms)
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74.25.Bt
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(Thermodynamic properties)
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| Fund: Project supported by the Natural Science Basic Research Program of Shaanxi (Program Nos. 2023KJXX-064 and 2021JQ-748), the National Natural Science Foundation of China (Grant Nos. 11804213 and 12174238), and Scientific Research Foundation of Shaanxi University of Technology (Grant No. SLGRCQD2006). |
Corresponding Authors:
Feng Xu
E-mail: xufengxlx@snut.edu.cn
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Cite this article:
Feng Xu(徐峰) and Lei Zhang(张磊) Coexistence of antiferromagnetism and unconventional superconductivity in a quasi-one-dimensional flat-band system: Creutz lattice 2024 Chin. Phys. B 33 037402
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