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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.28221 |
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| _version_ | 1866913167018295296 |
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| author | Peng, Shen-Yi Zhang, Ling-Feng Hu, Xiao |
| author_facet | Peng, Shen-Yi Zhang, Ling-Feng Hu, Xiao |
| contents | Recently, a three-component Ginzburg-Landau (GL) model compatible with the 3Q pair-density-wave state has been proposed to explain the fractional quantum magnetic resistance oscillations of period $ϕ_0/3 = hc/6e$ observed in vanadium-based kagome superconductors. The physics of this model is governed by second-order Josephson-type couplings, which break both time-reversal symmetry and discrete $π$-phase flip symmetry. In this work, we theoretically derive the complete set of ground-state solutions and construct a comprehensive phase diagram in the GL parameter space, characterized by analytically determined phase boundaries. We identify five distinct ground states: an 8-fold degenerate frustrated state and four 4-fold degenerate non-frustrated phase-locked states. Four of these states spontaneously break time-reversal symmetry. Numerical analysis of the collective modes reveals the emergence of a Higgs-Leggett mode unique to the frustrated region, accompanied by mode softening near the phase boundaries. Our findings provide a comprehensive theoretical framework for understanding the multifaceted physics of multicomponent superconductivity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_28221 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Three-component superconductivity: the effect of second-order Josephson couplings Peng, Shen-Yi Zhang, Ling-Feng Hu, Xiao Superconductivity Recently, a three-component Ginzburg-Landau (GL) model compatible with the 3Q pair-density-wave state has been proposed to explain the fractional quantum magnetic resistance oscillations of period $ϕ_0/3 = hc/6e$ observed in vanadium-based kagome superconductors. The physics of this model is governed by second-order Josephson-type couplings, which break both time-reversal symmetry and discrete $π$-phase flip symmetry. In this work, we theoretically derive the complete set of ground-state solutions and construct a comprehensive phase diagram in the GL parameter space, characterized by analytically determined phase boundaries. We identify five distinct ground states: an 8-fold degenerate frustrated state and four 4-fold degenerate non-frustrated phase-locked states. Four of these states spontaneously break time-reversal symmetry. Numerical analysis of the collective modes reveals the emergence of a Higgs-Leggett mode unique to the frustrated region, accompanied by mode softening near the phase boundaries. Our findings provide a comprehensive theoretical framework for understanding the multifaceted physics of multicomponent superconductivity. |
| title | Three-component superconductivity: the effect of second-order Josephson couplings |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2605.28221 |