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Fulde–Ferrell–Larkin–Ovchinnikov pairing states between s- and p-orbital fermions

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Abstract

We study the pairing states in a largely imbalanced two-component Fermi gas loaded in an anisotropic two-dimensional optical lattice, where the spin-up and spin-down fermions are filled to the s- and p x -orbital bands, respectively. We show that owing to the relative inversion of the band structures of the s and p x orbitals, the system favors pairing between two fermions on the same side of the Brillouin zone, leading to a large stable regime for states with a finite center-of-mass momentum, i.e., the Fulde–Ferrell–Larkin–Ovchinnikov (FFLO) state. In particular, when two Fermi surfaces are close in momentum space, a nesting effect stabilizes a special type of π-FFLO phase with a spatial modulation of π along the easily tunneled x direction. We map out the zero-temperature phase diagrams within the mean-field approach for various aspect ratios within the two-dimensional plane and calculate the Berezinskii–Kosterlitz–Thouless (BKT) transition temperatures T BKT for different phases.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11274009, 11274025, 11434011, 11522436, 11622428, 61475006, and 61675007), the National Key R&D Program (Grant Nos. 2013CB922000 and 2016YFA0301201), the Ministry of Science and Technology of China (Grant No. 2016YFA0301302), and the Research Funds of Renmin University of China (Grant Nos. 10XNL016 and 16XNLQ03).

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Authors and Affiliations

  1. State Key Laboratory of Mesoscopic Physics, School of Physics, Peking University, Beijing, 100871, China

    Shu-Yang Wang, Jing-Wei Jiang, Qiongyi He & Qihuang Gong

  2. Department of Physics, Renmin University of China, Beijing, 100872, China

    Yue-Ran Shi & Wei Zhang

  3. Collaborative Innovation Center of Quantum Matter, Beijing, 100871, China

    Qiongyi He & Qihuang Gong

  4. Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, 030006, China

    Qiongyi He & Qihuang Gong

  5. Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing, 100872, China

    Wei Zhang

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  1. Shu-Yang Wang
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Correspondence to Wei Zhang.

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arXiv: 1612.01709v1.

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Wang, SY., Jiang, JW., Shi, YR. et al. Fulde–Ferrell–Larkin–Ovchinnikov pairing states between s- and p-orbital fermions. Front. Phys. 12, 126701 (2017). https://doi.org/10.1007/s11467-017-0681-y

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  • DOI: https://doi.org/10.1007/s11467-017-0681-y

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