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On the existence of nematic-superconducting states in the Ginzburg–Landau regime

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  • De Leo, Mariano
  • Borgna, Juan Pablo
  • García Ovalle, Diego

Abstract

In this article, we investigate the existence of nematic-superconducting states in the Ginzburg–Landau regime, both analytically and numerically. From the configurations considered, a slab and a cylinder with a circular cross-section, we demonstrate the existence of geometrical thresholds for the obtention of non-zero nematic order parameters. Within the frame of this constraint, the numerical calculations on the slab reveal that the competition or collaboration between nematicity and superconductivity is a complex energy minimization problem, requiring the accommodation of the Ginzburg–Landau parameters of the decoupled individual systems, the sign of the bi-quadratic potential energy relating both order parameters and the magnitude of the applied magnetic field. Specifically, the numerical results show the existence of a parameter regime for which it is possible to find mixed nematic-superconducting states. These regimes depend strongly on both the applied magnetic field and the potential coupling parameter. Since the proposed model corresponds to the weak coupling regime, and since it is a condition on these parameters, we design a test to decide whether this condition is fulfilled.

Suggested Citation

  • De Leo, Mariano & Borgna, Juan Pablo & García Ovalle, Diego, 2024. "On the existence of nematic-superconducting states in the Ginzburg–Landau regime," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    • Handle: RePEc:eee:chsofr:v:179:y:2024:i:c:s0960077923013413
    DOI: 10.1016/j.chaos.2023.114439
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    1. M. H. Hamidian & S. D. Edkins & Sang Hyun Joo & A. Kostin & H. Eisaki & S. Uchida & M. J. Lawler & E.-A. Kim & A. P. Mackenzie & K. Fujita & Jinho Lee & J. C. Séamus Davis, 2016. "Detection of a Cooper-pair density wave in Bi2Sr2CaCu2O8+x," Nature, Nature, vol. 532(7599), pages 343-347, April.
    2. N. Auvray & B. Loret & S. Benhabib & M. Cazayous & R. D. Zhong & J. Schneeloch & G. D. Gu & A. Forget & D. Colson & I. Paul & A. Sacuto & Y. Gallais, 2019. "Nematic fluctuations in the cuprate superconductor Bi2Sr2CaCu2O8+δ," Nature Communications, Nature, vol. 10(1), pages 1-7, December.
    3. Xi Liu & Ran Tao & Mingqiang Ren & Wei Chen & Qi Yao & Thomas Wolf & Yajun Yan & Tong Zhang & Donglai Feng, 2019. "Evidence of nematic order and nodal superconducting gap along [110] direction in RbFe2As2," Nature Communications, Nature, vol. 10(1), pages 1-12, December.
    4. Ivan Kostylev & Shingo Yonezawa & Zhiwei Wang & Yoichi Ando & Yoshiteru Maeno, 2020. "Uniaxial-strain control of nematic superconductivity in SrxBi2Se3," Nature Communications, Nature, vol. 11(1), pages 1-8, December.
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