Observation of Persistent Zero Modes and Superconducting Vortex Doublets in UTe$_2$
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| Format: | Preprint |
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2025
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| _version_ | 1866918151123369984 |
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| author | Sharma, Nileema Toole, Matthew McKenzie, James Cheng, Fangjun Thomas, Sean Michael Rosa, Priscila F. S. Hsu, Yi-Ting Liu, Xiaolong |
| author_facet | Sharma, Nileema Toole, Matthew McKenzie, James Cheng, Fangjun Thomas, Sean Michael Rosa, Priscila F. S. Hsu, Yi-Ting Liu, Xiaolong |
| contents | Superconducting vortices can reveal electron pairing details and nucleate topologically protected states. Yet, vortices of bulk spin-triplet superconductors have never been visualized. Recently, UTe$_2$ has emerged as a nominative spin-triplet superconductor, but its superconducting order parameter is elusive, and whether time-reversal symmetry is broken remains unsettled. Here, we visualize superconducting vortices on the (011) surface of ultra-clean UTe$_2$ single crystals ($T_c=2.1 K$) using scanning tunneling microscopy (STM). We introduce $\frac{d^2 I}{dV^2}$ imaging as an effective method for vortex visualization in superconductors with substantial residual zero-energy density of states (DOS), as in UTe$_2$. Anisotropic single-flux-quantum vortices, with coherence lengths of $\sim$ 12 nm (4 nm) parallel (perpendicular) to the a-axis, form a triangular vortex lattice (VL) under small out-of-plane magnetic fields. The vortex size decreases at higher fields, suggesting multi-band superconductivity. The robustness of vortex structures and VL against magnetic field polarity and cooling history strongly supports time-reversal invariant superconductivity. Spatially non-splitting and spectroscopically narrow zero-bias peaks (ZBPs) of differential conductance at vortex cores (VCs) persist up $8T$, well beyond the Pauli limit ($3.9T$), consistent with Majorana zero modes (MZMs) in a topological vortex line protected by a combination of mirror, time-reversal, and particle-hole symmetries. Close examination of vortex structures reveals a mirror-asymmetric doublet $--$ one with a singular core and another with an enhanced energy gap. Such unconventional vortices in a non-chiral $p$-wave superconductor could originate from the induction of a subdominant order parameter close to the VCs. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_17450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Observation of Persistent Zero Modes and Superconducting Vortex Doublets in UTe$_2$ Sharma, Nileema Toole, Matthew McKenzie, James Cheng, Fangjun Thomas, Sean Michael Rosa, Priscila F. S. Hsu, Yi-Ting Liu, Xiaolong Superconductivity Strongly Correlated Electrons Superconducting vortices can reveal electron pairing details and nucleate topologically protected states. Yet, vortices of bulk spin-triplet superconductors have never been visualized. Recently, UTe$_2$ has emerged as a nominative spin-triplet superconductor, but its superconducting order parameter is elusive, and whether time-reversal symmetry is broken remains unsettled. Here, we visualize superconducting vortices on the (011) surface of ultra-clean UTe$_2$ single crystals ($T_c=2.1 K$) using scanning tunneling microscopy (STM). We introduce $\frac{d^2 I}{dV^2}$ imaging as an effective method for vortex visualization in superconductors with substantial residual zero-energy density of states (DOS), as in UTe$_2$. Anisotropic single-flux-quantum vortices, with coherence lengths of $\sim$ 12 nm (4 nm) parallel (perpendicular) to the a-axis, form a triangular vortex lattice (VL) under small out-of-plane magnetic fields. The vortex size decreases at higher fields, suggesting multi-band superconductivity. The robustness of vortex structures and VL against magnetic field polarity and cooling history strongly supports time-reversal invariant superconductivity. Spatially non-splitting and spectroscopically narrow zero-bias peaks (ZBPs) of differential conductance at vortex cores (VCs) persist up $8T$, well beyond the Pauli limit ($3.9T$), consistent with Majorana zero modes (MZMs) in a topological vortex line protected by a combination of mirror, time-reversal, and particle-hole symmetries. Close examination of vortex structures reveals a mirror-asymmetric doublet $--$ one with a singular core and another with an enhanced energy gap. Such unconventional vortices in a non-chiral $p$-wave superconductor could originate from the induction of a subdominant order parameter close to the VCs. |
| title | Observation of Persistent Zero Modes and Superconducting Vortex Doublets in UTe$_2$ |
| topic | Superconductivity Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2503.17450 |