EAGER: BRAIDING: Lattice engineered nonabelian defects in fractional Chern insulators

渴望：编织：分数陈绝缘体中的晶格工程非阿贝尔缺陷

• 批准号: 1836776
• 负责人: Andrea Young
• 金额: $ 30万
• 依托单位: University of California-Santa Barbara
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-07-15 至 2021-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1836776&HistoricalAwards=false
• 关键词: EAGER; BRAIDING; Lattice; engineered; nonabelian

Nontechnical Abstract: in the last decade, the possibility of utilizing unusual quantum statistics of emergent states of matter as a basis for quantum computation has gone from being a distant dream to an ambitious but reasonable possibility. Recent advances are based on assembly of required ingredients through proximity effects. In this approach, two materials with complementary properties are placed in close proximity to each other, for example allowing superconductivity to be introduced into materials which have complementary properties. Most prominently, Majorana bound states, the simplest states that can support certain forms of quantum computation, can be engineered by inducing superconductivity in a one-dimensional wire. As the experimental hunt for Majorana bound states intensifies, the question arises as to whether even richer ground states can be realized using the same synthetic approach. This proposal describes a route towards realizing such states in a newly discovered class of topologically ordered metamaterials known as fractional Chern insulators. Remarkably, these class of metamaterials allow the requisite disparate properties to be engineered with single-site resolution in an artificial lattice, opening completely new design principles for quantum devices. Technical Abstract: in the last decade, the possibility of using ground state topological degeneracy as a basis for quantum computation has gone from being a distant dream to an ambitious but reasonable possibility. Recent advances owe much to a shift in focus to a `synthetic' approach. Rather than seeking nonabelian anyons as elementary excitations in 'natural' electronic systems, the disparate ingredients required are assembled through proximity effects. For example, Majorana bound state - the simplest nonabelian defect state - can be engineered by inducing superconductivity in an effectively spinless, one dimensional fermionic wire. As the experimental hunt for Majorana bound states intensifies, the question arises as to whether richer parafermion and Fibonacci anyon ground states can be realized using the same synthetic approach. This proposal describes a route towards realizing nonabelian defects in the recently discovered fractional Chern insulators in graphene heterostructures, including parafermion bound states. Fractional Chern insulators are generalizations of fractional quantum Hall states to lattice systems. Like conventional fractional quantum Hall states, the low-lying charged excitations of gapped fractional Chern insulators have anyonic statistics; however, the lattice degree of freedom endows them with new experimental tunability. Under the current proposal, we will classify fractional Chern insulator ground states in lithographically defined superlattices and use them to Engineer lattice defects and sublattice selective contacts for measurement-only braiding of nonabelian defect states.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：在过去的十年中，利用物质新兴状态的异常量子统计作为量子计算的基础的可能性已从遥远的梦想到雄心勃勃但合理的可能性。最近的进步是基于通过接近效应组装所需成分的基础。在这种方法中，将两种具有互补特性的材料彼此近距离放置，例如允许将超导性引入具有互补特性的材料。最突出的是，主要是可以支持某些形式的量子计算的最简单状态，可以通过在一维线中诱导超导性来设计。随着对Majorana结合状态的实验性追求加剧，出现了一个问题，即是否可以使用相同的合成方法来实现甚至更丰富的基础状态。该提案描述了在新发现的一类拓扑订购的超材料中，称为分数Chern绝缘子的途径。 值得注意的是，这些类型的超材料允许在人工晶格中使用单点分辨率来设计必要的不同特性，从而为量子设备打开了全新的设计原理。 技术摘要：在过去的十年中，将基础状态拓扑变性作为量子计算的基础的可能性已从遥远的梦想到雄心勃勃但合理的可能性。 最近的进步归功于将重点转移到“合成”方法。与其在“自然”电子系统中寻求非亚伯人作为基本激发，而是通过接近性效应组装所需的不同成分。 例如，Majorana绑定状态 - 最简单的非亚伯缺陷状态 - 可以通过在有效无旋转的一维费米丝中诱导超导性来设计。随着对Majorana结合状态的实验性追求加剧，出现了一个问题，即是否可以使用相同的合成方法来实现更丰富的副象和斐波那契。该提案描述了在最近发现的石墨烯异质结构中最近发现的分数绝缘子中实现非阿布尔缺陷的途径，包括副膜结合状态。 分数Chern绝缘子是对晶格系统的分数量子霍尔国家的概括。 像常规的分数量子厅一样，散落的散落的分数奇特绝缘子的低洼激发具有任何统计的统计数字。但是，晶格的自由度赋予了他们新的实验可调性。根据目前的提案，我们将以印刷定义的超晶格对分数切绝缘子的基础状态进行分类，并将其用于工程晶格缺陷和Sublattice选择性接触，以进行非亚伯利亚缺陷状态的仅编织，这是NSF的法定任务，反映了通过评估范围的范围的构成师的构成师，并反映了构成的范围。

项目成果

Fractional Chern insulator edges and layer-resolved lattice contacts

分数陈绝缘体边缘和层分辨晶格接触

• DOI: 10.1103/physrevb.99.081114
• 发表时间: 2019
• 期刊: Physical Review B
• 影响因子: 3.7
• 作者: Knapp, Christina;Spanton, Eric M.;Young, Andrea F.;Nayak, Chetan;Zaletel, Michael P.
• 通讯作者: Zaletel, Michael P.