NSF/DMR-BSF: Electronic Correlations and Disorder in Berry materials

非技术总结该奖项支持旨在调查在各种电子-电子相互作用强烈的新材料中观察到的不寻常热力学和传输性质的起源的理论研究。最近关于这些系统的实验结果突出了由于电子-电子相互作用和无序之间的相互作用而产生的新的概念挑战，以及开发新的理论工具来应对这些挑战的必要性。这个项目的目标是通过制定新的物理概念来应对其中的一些挑战，这有望导致对这些不同寻常的实验发现的更深层次的理解。PI和他的学生将研究三类电子系统：(I)具有非传统超导性质的材料；(Ii)在其块体中经历金属-绝缘体转变但其表面状态仍然是金属的材料；以及(Iii)允许在化学掺杂时超导和磁性共存的铁基超导体。该奖项还支持国际单车协会的教育和推广活动，其中包括(I)对研究生进行现代凝聚态物理方面的培训，(Ii)创建适合高级研究生的关于超导主题的综合问题集，(Ii)翻译一本专门纪念物理学家Lev Landau的书，以及(Iv)为肯特免费公共图书馆当地公路自行车俱乐部的成员准备一套关于“自行车物理”的演讲。PI将使用非平衡系统场论、图解方法和精确可积性等现代方法来(I)研究非常规超导体中的反常输运性质，(Ii)研究由于库仑相互作用和无序之间的相互作用对自旋-霍尔电导值的量子干涉效应，以及(Iii)描述库仑相互作用对手性d超导体短时动力学和空间不均匀形成的影响。此外，国际超导学会将研究高角动量拓扑材料中的多体不稳定性，并为具有竞争基态的无序多带超导体开发一种准经典方法，重点关注量子涨落如何影响其热力学和输运性质。该奖项还支持国际超导学会的教育和推广活动，包括(I)对研究生进行现代凝聚态物理方面的培训，(Ii)创建适合高级研究生的超导主题综合问题集，(Ii)翻译一本纪念物理学家列夫·兰道的书，以及(Iv)在肯特免费公共图书馆为当地公路自行车俱乐部的成员准备一系列关于“自行车的物理学”的演讲。这一奖项反映了NSF的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

NONTECHNICAL SUMMARYThis award supports theoretical research aimed at investigating the origin of unusual thermodynamic and transport properties that have been observed in a variety of novel materials in which the electron-electron interaction is strong. Recent experimental results on these systems have highlighted the emerging conceptual challenges that arise due to the interplay between electron-electron interaction and disorder, and the need to develop new theoretical tools to address these challenges. The goal of this project is to confront some of these challenges by formulating new physical concepts, which are expected to lead to a deeper understanding of the unusual experimental findings. The PI and his students will study three classes of electronic systems: (i) Materials which have unconventional superconducting properties, (ii) Materials which undergo a metal-insulator transition in their bulk, while their surface states remain metallic, and (iii) Iron-based superconductors which allow for the coexistence of superconductivity and magnetism upon chemical doping. This award also supports the PI’s educational and outreach activities, which include (i) the training of graduate students in modern condensed matter physics, (ii) the creation of a comprehensive collection of problems on the topic of superconductivity suitable for advanced graduate students, (ii) translation of a book dedicated to the memory of physicist Lev Landau, and (iv) preparation of a set of presentations on the “Physics of Cycling” for members of the local road cycling club at Kent Free Public Library.TECHNICAL SUMMARYThis award supports theoretical research aimed at developing a theory of correlated electronic systems with Berry curvature to account for the interplay between electron-electron interaction and disorder. The PI will use contemporary methods such as field theory of non-equilibrium systems, diagrammatic approach, and exact integrability to (i) investigate anomalous transport properties in unconventional superconductors, (ii) study the quantum interference effects due to an interplay between Coulomb interactions and disorder on the value of spin-Hall conductivity, and (iii) describe the effects of Coulomb interactions on short-time dynamics of the chiral d+id superconductors and the formation of spatial inhomogeneities. In addition, the PI will investigate the many-body instabilities in higher angular momentum topological materials and develop a quasiclassical approach for disordered multiband superconductors with competing ground states focusing on how quantum fluctuations affect their thermodynamic and transport properties.This award also supports the PI’s educational and outreach activities, which include (i) the training of graduate students in modern condensed matter physics, (ii) the creation of a comprehensive collection of problems on the topic of superconductivity suitable for advanced graduate students, (ii) translation of a book dedicated to the memory of physicist Lev Landau, and (iv) preparation of a set of presentations on the “Physics of Cycling” for members of the local road cycling club at Kent Free Public Library.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.