CAREER: Novel platforms for topology and non-Fermi liquids: From projected topological branes to non-Abelian and fractional materials

职业：拓扑和非费米液体的新颖平台：从投影拓扑膜到非阿贝尔和分数材料

基本信息

批准号：
2238679
负责人：
Bitan Roy
金额：
$ 55万
依托单位：
Lehigh University
依托单位国家：
美国
项目类别：
Continuing Grant
财政年份：
2023
资助国家：
美国
起止时间：
2023-01-01 至 2027-12-31
项目状态：
未结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2238679&HistoricalAwards=false
关键词：
CAREER Novel platforms topology non

项目摘要

NONTECHNICAL SUMMARYThis CAREER award supports theoretical research into topological states of quantum matter and electronic materials in which electrons interact strongly. In ordinary metals, like copper and aluminum, impurities are usually detrimental to current conduction. Topological materials, on the other hand, have special current carrying channels that are exceptionally robust to the effects of impurities. They also provide a platform that may realize quantum computation and pave the way for future applications in electronics. However, topological materials that have so far been investigated are mostly limited to periodic crystals in three spatial dimensions. The PI will go beyond this limitation and extend the landscape of topological materials by theoretically studying and designing more general structures that are non-periodic or have extended defects in them. The general aim is to theoretically investigate the electronic behavior of such systems which may eventually lead to technological advances in quantum computation and efficient electric power transmission.This award also supports the PI's educational and outreach activities. The PI will (i) develop open access online learning modules on pedagogical introduction to Topological Condensed Matter Physics, leading to a future undergraduate level review article, (ii) build an outreach program involving local undergraduate colleges and HBCUs, followed by an on-campus mini-workshop at Lehigh with 10-15 attendees, and (3) mentor selected undergraduate students from minority and underrepresented communities with the goal of attracting them to careers in STEM disciplines.TECHNICAL SUMMARYThis CAREER award supports theoretical investigations at the forefront of topological condensed matter physics, focused on some of its key limitations. The PI will extend classification of topological materials beyond three dimensions by constructing lower-dimensional projected topological branes on quasicrystals and their rational approximants. Lattice defects, such as dislocations and grain boundaries, will also serve as tools to identify a new class of translationally active Floquet topological phases in the dynamic realm, when crystals are exposed to time periodic drives. The PI will showcase non-crystalline materials, such as amorphous networks, fractals, and quasicrystals, for realizing topological superconductors. In parallel, the PI will compute hallmarks of strong electronic interactions in non-Abelian Dirac materials, such as graphene-based van der Waals heterostructures and fractional Dirac materials. This award also supports the PI's educational and outreach activities. The PI will (i) develop open access online learning modules on pedagogical introduction to Topological Condensed Matter Physics, leading to a future undergraduate level review article, (ii) build an outreach program involving local undergraduate colleges and HBCUs, followed by an on-campus mini-workshop at Lehigh with 10-15 attendees, and (3) mentor selected undergraduate students from minority and underrepresented communities with the goal of attracting them to careers in STEM disciplines.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.

非技术摘要这一职业奖支持对量子物质和电子材料的拓扑状态进行理论研究，电子材料在其中相互作用。在普通金属（如铜和铝）中，杂质通常不利于电流传导。另一方面，拓扑材料具有特殊的电流携带通道，对杂质的影响非常强大。他们还提供了一个可以实现量子计算的平台，并为电子产品中的未来应用铺平了道路。但是，迄今已研究的拓扑材料大多限于三个空间维度的周期性晶体。 PI将超出此限制，并通过理论上研究和设计更通用的结构，这些结构是非周期性的或存在较长的缺陷，扩展了拓扑材料的景观。总体目的是从理论上研究此类系统的电子行为，这最终可能导致量子计算和有效的电力传输的技术进步。该奖项还支持PI的教育和外展活动。 PI将（i）开发有关拓扑凝结物理学教学介绍的开放访问在线学习模块，从而导致未来的本科生评论文章，（ii）建立涉及当地本科学院和HBCU的外展计划，然后是校园内的。利哈伊（Lehigh）的迷你工作坊，有10-15名与会者，以及（3）导师从少数群体和代表性不足的社区中选出的本科生，目的是吸引他们从事STEM学科的职业。物理学的重点是其一些关键局限性。 PI将通过在准晶体及其理性近似值上构建较低尺寸的投影拓扑结构，将拓扑材料的分类扩展到三个维度之外。晶格缺陷（例如位错和晶界）也将用作识别动态领域中一类新的翻译浮雕拓扑阶段的工具，当晶体暴露于时间周期性驱动器中时。 PI将展示非晶体材料，例如无定形网络，分形和准晶体，用于实现拓扑超导体。同时，PI将计算非亚洲狄拉克材料（例如基于石墨烯的Van der waals异质结构和分数迪拉克材料）中强电子相互作用的标志。该奖项还支持PI的教育和外展活动。 PI将（i）开发开放访问在线学习模块有关拓扑凝结物理物理学的教学介绍，从而导致未来的本科级别评论文章，（ii）构建涉及当地本科学院和HBCU的外展计划，然后是校园内的。利哈伊（Lehigh）的迷你工作坊与10-15名与会者，（3）导师从少数群体和代表性不足的社区中选出的本科生，目的是吸引他们从事STEM学科的职业。这一奖项反映了NSF的法定任务，并被认为是值得通过的支持，并被认为是值得的。使用基金会的智力优点和更广泛的影响评估标准进行评估。