Quantum Griffiths singularity in a three-dimensional superconductor to Anderson critical insulator transition
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866913586707693568 |
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| author | Qi, Shichao Liu, Yi Wang, Ziqiao Chen, Fucong Li, Qian Ji, Haoran Li, Rao Li, Yanan Fang, Jingchao Liu, Haiwen Wang, Fa Jin, Kui Xie, X. C. Wang, Jian |
| author_facet | Qi, Shichao Liu, Yi Wang, Ziqiao Chen, Fucong Li, Qian Ji, Haoran Li, Rao Li, Yanan Fang, Jingchao Liu, Haiwen Wang, Fa Jin, Kui Xie, X. C. Wang, Jian |
| contents | Disorder is ubiquitous in real materials and can have dramatic effects on quantum phase transitions. Originating from the disorder enhanced quantum fluctuation, quantum Griffiths singularity (QGS) has been revealed as a universal phenomenon in quantum criticality of low-dimensional superconductors. However, due to the weak fluctuation effect, QGS is very challenging to detect experimentally in three-dimensional (3D) superconducting systems. Here we report the discovery of QGS associated with the quantum phase transition from 3D superconductor to Anderson critical insulator in a spinel oxide MgTi2O4 (MTO). Under both perpendicular and parallel magnetic field, the dynamical critical exponent diverges when approaching the quantum critical point, demonstrating the existence of 3D QGS. Among 3D superconductors, MTO shows a relatively strong fluctuation effect featured as a wide superconducting transition region. The enhanced fluctuation, which may arise from the mobility edge of Anderson localization, finally leads to the occurrence of 3D quantum phase transition and QGS. Our findings offer a new perspective to understand quantum phase transitions in strongly disordered 3D systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_06710 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum Griffiths singularity in a three-dimensional superconductor to Anderson critical insulator transition Qi, Shichao Liu, Yi Wang, Ziqiao Chen, Fucong Li, Qian Ji, Haoran Li, Rao Li, Yanan Fang, Jingchao Liu, Haiwen Wang, Fa Jin, Kui Xie, X. C. Wang, Jian Superconductivity Disorder is ubiquitous in real materials and can have dramatic effects on quantum phase transitions. Originating from the disorder enhanced quantum fluctuation, quantum Griffiths singularity (QGS) has been revealed as a universal phenomenon in quantum criticality of low-dimensional superconductors. However, due to the weak fluctuation effect, QGS is very challenging to detect experimentally in three-dimensional (3D) superconducting systems. Here we report the discovery of QGS associated with the quantum phase transition from 3D superconductor to Anderson critical insulator in a spinel oxide MgTi2O4 (MTO). Under both perpendicular and parallel magnetic field, the dynamical critical exponent diverges when approaching the quantum critical point, demonstrating the existence of 3D QGS. Among 3D superconductors, MTO shows a relatively strong fluctuation effect featured as a wide superconducting transition region. The enhanced fluctuation, which may arise from the mobility edge of Anderson localization, finally leads to the occurrence of 3D quantum phase transition and QGS. Our findings offer a new perspective to understand quantum phase transitions in strongly disordered 3D systems. |
| title | Quantum Griffiths singularity in a three-dimensional superconductor to Anderson critical insulator transition |
| topic | Superconductivity |
| url | https://arxiv.org/abs/2311.06710 |