Yu-Shiba-Rusinov态的量子几何起源
Quantum Geometric Origin of Yu-Shiba-Rusinov States
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中文总结 AI 辅助
本文揭示YSR束缚态的量子几何起源，证明正常态量子几何控制束缚态数量、能量与对称性，并在1H-NbSe2中预言三个YSR通道，为探测波函数几何提供新途径。
中文摘要 AI 辅助
在这项工作中，我们重新审视了s波超导体中磁性杂质的经典Yu-Shiba-Rusinov（YSR）问题，并揭示了YSR束缚态结构的量子几何起源。关键的几何量是低能电子布洛赫带投影算符在动量空间中的平均值，其矩阵秩、正特征值及相应的特征向量分别直接控制YSR态的数量、能量和对称性表示。因此，具有非平庸正常态量子几何的超导体可以比其平庸对应物容纳更多的束缚态，即使它们具有相同的电子色散。我们将我们的理论应用于单层1H-NbSe2，发现其单一超导带的几何纹理在Nb或Se位点上的磁性点杂质处强制产生三个对称性不同的YSR通道。我们的工作为通过局域YSR光谱探测正常态波函数几何开辟了途径。
英文摘要
In this work, we revisit the classic Yu-Shiba-Rusinov (YSR) problem of magnetic impurities in $s$-wave superconductors and uncover a quantum geometric origin of the YSR bound-state structure. The key geometric quantity is the momentum-space average of Bloch band projector over low-energy electrons, whose matrix rank, positive eigenvalues, and corresponding eigenvectors directly control the number, energies, and symmetry representations of the YSR states, respectively. As a result, a superconductor with nontrivial normal-state quantum geometry can host more bound states than its trivial counterpart, even if they share the same electronic dispersion. We apply our theory to monolayer $1H$-NbSe$_2$ and find that the geometric texture of its single superconducting band enforces three symmetry-distinct YSR channels for a magnetic point impurity at Nb or Se sites. Our work opens a route to probing normal-state wavefunction geometry through local YSR spectroscopy.
发表机构
- The University of Tennessee（田纳西大学）
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