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

该奖项支持理论研究，旨在调查在各种电子-电子相互作用强的新材料中观察到的不寻常的热力学和输运性质的起源。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概念挑战，以及开发新的理论工具来解决这些挑战的必要性。这个项目的目标是通过制定新的物理概念来面对这些挑战，这些概念有望导致对不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)具有非常规超导特性的材料，（ii）在其本体中经历金属-绝缘体转变，而其表面状态保持金属状态的材料，以及（iii）允许在化学掺杂下超导性和磁性共存的铁基超导体。该奖项还支持PI的教育和推广活动，其中包括(i)培训现代凝聚态物理学的研究生，（ii）创建适合高级研究生的超导主题的综合问题集，（ii）翻译一本纪念物理学家Lev Landau的书，（iv）在肯特免费公共图书馆为本地公路单车俱乐部的会员准备一套有关“骑单车的物理学”的讲座。技术概述：该奖项支持旨在发展具有贝里曲率的相关电子系统理论的理论研究，以解释电子-电子相互作用和无序之间的相互作用。PI将使用当代方法，如非平衡系统的场论，图解方法和精确可积性来(i)研究非常规超导体中的异常输运性质，（ii）研究由于库仑相互作用和无序之间的相互作用对自旋-霍尔电导率值的量子干涉效应。（iii）描述了库仑相互作用对手性d+id超导体的短时动力学和空间不均匀性形成的影响。此外，PI将研究高角动量拓扑材料中的多体不稳定性，并开发具有竞争基态的无序多带超导体的准经典方法，重点研究量子涨落如何影响其热力学和输运性质。该奖项还支持PI的教育和推广活动，其中包括(i)培训现代凝聚态物理学的研究生，（ii）创建适合高级研究生的超导主题的综合问题集，（ii）翻译一本纪念物理学家Lev Landau的书，（iv）在肯特免费公共图书馆为本地公路单车俱乐部的会员准备一套有关“骑单车的物理学”的讲座。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值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.