P10 (Scheer): Spatially-resolved transport spectroscopy of quantum matter

超导体铁磁(SC-FM)混合系统的混合器件可以支持具有非传统对称性的库珀对，从而产生通过铁磁的长程自旋极化超导电流(SPSC)。另一方面，这些系统可能存在Andreev束缚态(ABS)或Majorana束束态(MBS)。SPSC和MBS由于其纠缠和相干性质，可用于关联量子信息技术中的无耗散信息传输。然而，使用这些混合设备可靠地创建和检测MBS的条件仍然没有解决，因为接口的细节可能起到关键作用，而且MBS的识别和仅通过传输实验将它们与ABS区分仍然是一个挑战。我们假设，在接近量子临界点的Kondo系统或高T_c超导体等高关联量子材料中，了解低能激发的光谱性质以及它们的关联和纠缠是利用它们在固态量子系统中的应用潜力所必需的。这个项目部分的中心目标是开发一种通过将扫描隧道光谱与电子输运测量相结合来检测电子关联的方法。这一项目部分是对这些奇异电子态的检测技术的补充，整个SFB都在使用局部探测器进行研究。它试图建立非常规材料组合器件的局域态密度的空间相关性和电流-电压特性之间的关系。特别是，我们想要开发一种方案来区分MBS和ABS，识别可能包含远程SPSC的系统，检测非传统的超导序参数对称性，有助于库珀对分离器的开发，并揭示Kondo关联的空间光谱特征。

Hybrid devices of superconductor{ferromagnet (SC-FM) hybrid systems may support Cooper pairs with unconventional symmetry giving rise to long-ranged, spin polarized supercurrents (SPSC) through the ferromagnet. On the other hand, these systems may host Andreev bound states (ABS) or Majorana bound states (MBS). SPSC and MBS may be used in correlated quantum information technology for dissipationless information transfer by virtue of their entangled and coherent nature. However, the conditions to reliably create and detect MBS with these hybrid devices are still not settled, because details of the interface may play a crucial role and because the identification of MBS and distinguishing them from ABS solely by transport experiments is still a challenge. We hypothesize that knowing the spectral properties of low-energy excitations and their correlations and entanglement in highly-correlated quantum materials like Kondo systems close to a quantum critical point or high-Tc superconductors, is mandatory to leverage their potential for applications in solid state quantum systems. The central goal of this project part is to develop a route for detecting electronic correlations by combining scanning tunneling spectroscopy with electronic transport measurements. This project part complements the palette of detection techniques for these exotic electronic states, investigated throughout the whole SFB, by a local probe. It seeks to establish a correlation between the spatial dependence of the local density of states and current-voltage characteristics of devices made of unconventional material combinations. In particular we want to develop a scheme for distinguishing between MBS and ABS, identifying systems which may host long-ranged SPSCs, detect unconventional superconducting order parameter symmetries, contribute to the development of a Cooper pair splitter and to reveal the spatio-spectroscopic signatures of Kondo correlations.