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φ-映射拓扑流理论在Weyl半金属拓扑分类中的应用
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作者 黄晓红 姜颖 《上海大学学报(自然科学版)》 CAS CSCD 北大核心 2024年第1期106-117,共12页
用φ-映射拓扑流理论对厄米及非厄米Weyl半金属进行拓扑分类.对一个给定的哈密顿,在动量空间建立一个由自旋组成的■场,再由这个■场给出拓扑荷密度分布.发现只有在■场模的零点,拓扑荷密度的值才不为零,而这些■场模的零点其实就是Wey... 用φ-映射拓扑流理论对厄米及非厄米Weyl半金属进行拓扑分类.对一个给定的哈密顿,在动量空间建立一个由自旋组成的■场,再由这个■场给出拓扑荷密度分布.发现只有在■场模的零点,拓扑荷密度的值才不为零,而这些■场模的零点其实就是Weyl点或Weyl奇异点所在位置.通过对拓扑荷密度的积分,得到了可用于对系统进行拓扑分类的整数拓扑数. 展开更多
关键词 φ-映射拓扑流理论 拓扑分类 weyl半金属 非厄米系统
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Photoinduced Floquet higher-order Weyl semimetal in C_(6) symmetric Dirac semimetals
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作者 许欣欣 王梓名 +1 位作者 许东辉 陈垂针 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第6期109-117,共9页
Topological Dirac semimetals are a parent state from which other exotic topological phases of matter, such as Weyl semimetals and topological insulators, can emerge. In this study, we investigate a Dirac semimetal pos... Topological Dirac semimetals are a parent state from which other exotic topological phases of matter, such as Weyl semimetals and topological insulators, can emerge. In this study, we investigate a Dirac semimetal possessing sixfold rotational symmetry and hosting higher-order topological hinge Fermi arc states, which is irradiated by circularly polarized light. Our findings reveal that circularly polarized light splits each Dirac node into a pair of Weyl nodes due to the breaking of time-reversal symmetry, resulting in the realization of the Weyl semimetal phase. This Weyl semimetal phase exhibits rich boundary states, including two-dimensional surface Fermi arc states and hinge Fermi arc states confined to six hinges.Furthermore, by adjusting the incident direction of the circularly polarized light, we can control the degree of tilt of the resulting Weyl cones, enabling the realization of different types of Weyl semimetals. 展开更多
关键词 Dirac semimetals weyl semimetals periodic driving higher-order topology
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Coexistence of Dirac and Weyl points in non-centrosymmetric semimetal NbIrTe_(4)
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作者 刘清馨 付阳 +4 位作者 丁鹏飞 马欢 郭朋杰 雷和畅 王善才 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第4期146-151,共6页
Using angle-resolved photoemission spectroscopy and density functional theory calculations methods,we investigate the electronic structures and topological properties of ternary tellurides NbIrTe_(4),a candidate for t... Using angle-resolved photoemission spectroscopy and density functional theory calculations methods,we investigate the electronic structures and topological properties of ternary tellurides NbIrTe_(4),a candidate for type-II Weyl semimetal.We demonstrate the presence of several Fermi arcs connecting their corresponding Weyl points on both termination surfaces of the topological material.Our analysis reveals the existence of Dirac points,in addition to Weyl points,giving both theoretical and experimental evidences of the coexistence of Dirac and Weyl points in a single material.These findings not only confirm NbIrTe_(4) as a unique topological semimetal but also open avenues for exploring novel electronic devices based on its coexisting Dirac and Weyl fermions. 展开更多
关键词 Fermi arc weyl point Dirac point angle-resolved photoemission spectroscopy
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一类三阶上三角关系矩阵的左(右)Weyl性
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作者 董淑婷 吴秀峰 《内蒙古师范大学学报(自然科学版)》 CAS 2024年第2期183-190,共8页
设H_(1),H_(2),H_(3)为无穷维复可分Hilbert空间。对给定关系A∈BR(H1),B∈BR(H_(2)),C∈BR(H_(3)),记MD,E,F=(00C0BFADE)∈BR(H_(1)⊕H_(2)⊕H_(3)),给出存在满足D(0)∈A(0),E(0)∈A(0),F(0)∈B(0)的D∈BR(H_(2),H_(1)),E∈BR(H_(3),H_... 设H_(1),H_(2),H_(3)为无穷维复可分Hilbert空间。对给定关系A∈BR(H1),B∈BR(H_(2)),C∈BR(H_(3)),记MD,E,F=(00C0BFADE)∈BR(H_(1)⊕H_(2)⊕H_(3)),给出存在满足D(0)∈A(0),E(0)∈A(0),F(0)∈B(0)的D∈BR(H_(2),H_(1)),E∈BR(H_(3),H_(1)),F∈BR(H_(3),H_(2)),使得M_(D,E,F)为左(右)Weyl关系的充分必要条件。 展开更多
关键词 关系矩阵 左(右)weyl关系 指标
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Symmetry transformation of nonlinear optical current of tilted Weyl nodes and application to ferromagnetic MnBi_(2)Te_(4)
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作者 卢倬成 冯济 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第4期160-171,共12页
A Weyl node is characterized by its chirality and tilt.We develop a theory of how nth-order nonlinear optical conductivity behaves under transformations of anisotropic tensor and tilt, which clarifies how chirality-de... A Weyl node is characterized by its chirality and tilt.We develop a theory of how nth-order nonlinear optical conductivity behaves under transformations of anisotropic tensor and tilt, which clarifies how chirality-dependent and-independent parts of optical conductivity transform under the reversal of tilt and chirality.Built on this theory, we propose ferromagnetic Mn Bi2Te4as a magnetoelectrically regulated, terahertz optical device, by magnetoelectrically switching the chiralitydependent and-independent DC photocurrents.These results are useful for creating nonlinear optical devices based on the topological Weyl semimetals. 展开更多
关键词 nonlinear optical response topological weyl semimetals chiral anomaly
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Matlab程序在计算仿射Weyl群Φ值中的应用
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作者 何厚智 王利萍 王雨露 《理论数学》 2024年第7期94-102,共9页
Kazhdan-Lusztig多项式的首项系数在表示理论与李理论中有着非常重要的地位。 Lusztig在研究W -图的非局部有限性时引入的半线性方程组是计算Kazhdan-Lusztig多项式首项系数的重要方法。 本文给出了一个计算任意型的仿射Weyl群中Φ值的... Kazhdan-Lusztig多项式的首项系数在表示理论与李理论中有着非常重要的地位。 Lusztig在研究W -图的非局部有限性时引入的半线性方程组是计算Kazhdan-Lusztig多项式首项系数的重要方法。 本文给出了一个计算任意型的仿射Weyl群中Φ值的程序设计思路,并给出了一个利用Matlab程序计算A~44型仿射Weyl群中所有Φ值的例子,输出结果表明,A~44型仿射Weyl群只有291个非零且各不相同的Φ值。 展开更多
关键词 仿射weyl 首项系数 Φ值 MATLAB
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Weyl定理与(R)性质的判定
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作者 赵巨涛 曹小红 董炯 《华南师范大学学报(自然科学版)》 CAS 北大核心 2023年第2期109-115,共7页
利用半Fredholm算子的扰动不变性,研究有界线性算子与上三角算子矩阵的Weyl型定理。首先,给出有界线性算子同时满足Browder定理和(R_(1))性质,或者同时满足Weyl定理和(R)性质的充要条件;然后,讨论上三角算子矩阵同时满足Weyl定理和(R)... 利用半Fredholm算子的扰动不变性,研究有界线性算子与上三角算子矩阵的Weyl型定理。首先,给出有界线性算子同时满足Browder定理和(R_(1))性质,或者同时满足Weyl定理和(R)性质的充要条件;然后,讨论上三角算子矩阵同时满足Weyl定理和(R)性质的条件。 展开更多
关键词 有界线性算子 上三角算子矩阵 (R)性质 weyl定理
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两端奇异的左定Sturm-Liouville问题的谱函数与Weyl函数 被引量:1
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作者 高云兰 王忠 《内蒙古大学学报(自然科学版)》 CAS CSCD 北大核心 2003年第1期10-16,共7页
研究了一类特殊边界条件下两端奇异的左定Sturm-Liouville问题,建立了左定Sturm-Liouville问题的谱矩阵ρ(λ)与Weyl矩阵M(λ),并给出了谱矩阵ρ(λ)的元素与Weyl矩阵M(λ)的元素之间的关系.
关键词 两端奇异 谱函数 weyl函数 左定Sturm-Liouville问题 weyl矩阵 weyl 边值问题
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弦σ模型中的Ricci流扰动和Weyl反常系数
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作者 詹路 颜骏 黄忆 《四川师范大学学报(自然科学版)》 CAS 2023年第1期83-90,共8页
研究d=2维时空中玻色弦σ模型,采用2种Ricci流扰动方程推导Weyl反常系数.第1种方程是引力子场Gμν\,Dilaton场Φ的双圈流方程;第2种方程是引力子场G_(μν),轴子场B_(μν)和Dilaton场Φ的单圈流方程,通过这些Ricci流方程导出引力场的... 研究d=2维时空中玻色弦σ模型,采用2种Ricci流扰动方程推导Weyl反常系数.第1种方程是引力子场Gμν\,Dilaton场Φ的双圈流方程;第2种方程是引力子场G_(μν),轴子场B_(μν)和Dilaton场Φ的单圈流方程,通过这些Ricci流方程导出引力场的扰动方程.另外,还导出Weyl反常系数β_(μν)^(G),β_(μν)^(B),β^(Φ)的表达式,分析和讨论这些β函数随动量标度λ变化的物理意义. 展开更多
关键词 弦σ模型 Ricci流扰动 Β函数 weyl反常系数
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有界线性算子和的B-Fredholm谱与B-Weyl谱
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作者 冯晶 黄俊杰 《内蒙古大学学报(自然科学版)》 CAS 北大核心 2023年第6期601-607,共7页
研究了对于Banach空间上的两个有界线性算子,当其乘积满足可交换有限秩扰动或可交换幂有限秩扰动时,它们和的B-Fredholm谱及B-Weyl谱与相应谱的并集之间的关系。
关键词 有界线性算子 B-Fredholm谱 B-weyl
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上三角算子矩阵的左(右)Weyl谱与Weyl谱
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作者 陈晓玲 钟怀杰 《集美大学学报(自然科学版)》 CAS 2008年第1期92-96,共5页
设Mc=A C0B∈B(X Y)为定义在Banach空间X Y上的上三角算子矩阵.讨论Mc的Weyl谱σw与左(右)Weyl谱σlw(σrw)的填洞情况,证明了:σ*(A)∪σ*(B)=σ*(Mc)∪W,其中,W是σ*(Mc)的某些洞的并,σ*∈{σw,σlw,σrw},分别找出了W的具体位置.
关键词 BANACH空间 算子矩阵 weyl weyl weyl
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关于广义Douglas-Weyl喷射的一个注记
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作者 郑大小 《数学物理学报(A辑)》 CSCD 北大核心 2023年第1期43-52,共10页
该文研究广义D ouglas-Weyl喷射.证明了一个喷射G是广义D ouglas-Weyl喷射当且仅当它的Weyl张量是二次型的.由此得到一个推论,一个芬斯勒度量是广义Douglas-Weyl度量当且仅当它的Weyl张量是二次型的.进一步,该文研究具有二次型的黎曼曲... 该文研究广义D ouglas-Weyl喷射.证明了一个喷射G是广义D ouglas-Weyl喷射当且仅当它的Weyl张量是二次型的.由此得到一个推论,一个芬斯勒度量是广义Douglas-Weyl度量当且仅当它的Weyl张量是二次型的.进一步,该文研究具有二次型的黎曼曲率张量的喷射,证明了一个喷射具有二次型的黎曼曲率张量当且仅当B_(j)^(i)_(kl)=0. 展开更多
关键词 喷射 weyl张量 Douglas张量
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Enhanced and tunable Imbert–Fedorov shift based on epsilon-near-zero response of Weyl semimetal
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作者 伍计鹏 项元江 戴小玉 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第3期515-520,共6页
We theoretically investigate the reflected spatial Imbert–Fedorov(IF)shift of transverse-electric(TE)-polarized beam illuminating on a bulk Weyl semimetal(WSM).The spatial IF shift is enhanced significantly at two di... We theoretically investigate the reflected spatial Imbert–Fedorov(IF)shift of transverse-electric(TE)-polarized beam illuminating on a bulk Weyl semimetal(WSM).The spatial IF shift is enhanced significantly at two different frequencies close to the epsilon-near-zero(ENZ)frequency,where large values of reflection coefficients|r_(pp)|/|r_(ss)|are obtained due to the ENZ response induced different rapid increasing trends of|r_(pp)|and|r_(ss)|.Particularly,the tunable ENZ effect with tilt degree of Weyl cones and Fermi energy enables the enhanced spatial IF shift at different frequencies.The enhanced spatial IF shift also shows the adjustability of WSM thickness,incident angle and Weyl node separation.Our findings provide easy and available methods to enlarge and adjust the reflected IF shift of TE-polarized light with a WSM. 展开更多
关键词 Imbert–Fedorov shift weyl semimetal epsilon-near-zero reflection
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Stability of the topological quantum critical point between multi-Weyl semimetal and band insulator
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作者 杨兆昆 王景荣 刘国柱 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第5期131-140,共10页
One could tune a topological double-Weyl semimetal or a topological triple-Weyl semimetal to become a topologically trivial insulator by opening a band gap.This kind of quantum phase transition is characterized by the... One could tune a topological double-Weyl semimetal or a topological triple-Weyl semimetal to become a topologically trivial insulator by opening a band gap.This kind of quantum phase transition is characterized by the change of certain topological invariant.A new gapless semimetallic state emerges at each topological quantum critical point.Here we perform a renormalization group analysis to investigate the stability of such critical points against perturbations induced by random scalar potential and random vector potential.We find that the quantum critical point between double-Weyl semimetal and band insulator is unstable and can be easily turned into a compressible diffusive metal by any type of weak disorder.The quantum critical point between triple-Weyl semimetal and band insulator flows to a stable strong-coupling fixed point if the system contains a random vector potential merely along the z-axis,but becomes a compressible diffusive metal when other types of disorders exist. 展开更多
关键词 topological quantum critical points weyl semimetal DISORDER renormalization group
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Exploration of growth conditions of TaAs Weyl semimetal thin film using pulsed laser deposition
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作者 李世恩 林泽丰 +9 位作者 胡卫 闫大禹 陈赋聪 柏欣博 朱北沂 袁洁 石友国 金魁 翁红明 郭海中 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第4期582-586,共5页
Ta As,the first experimentally discovered Weyl semimetal material,has attracted a lot of attention due to its high carrier mobility,high anisotropy,nonmagnetic properties and strong interaction with light.These make i... Ta As,the first experimentally discovered Weyl semimetal material,has attracted a lot of attention due to its high carrier mobility,high anisotropy,nonmagnetic properties and strong interaction with light.These make it an ideal candidate for the study of Weyl fermions and applications in quantum computation,thermoelectric devices,and photodetection.For further basic physics studies and potential applications,large-size and high-quality Ta As films are urgently needed.However,it is difficult to grow As-stoichiometry Ta As films due to the volatilization of As during the growth.To solve this problem,we attempted to grow Ta As films on different substrates using targets with different As stoichiometric ratios via pulsed laser deposition(PLD).In this work,we found that partial As ions of the Ga As substrate are likely to diffuse into the Ta As films during growth,which was preliminarily confirmed by structural characterization,surface topography and composition analysis.As a result,the As content in the Ta As film was improved and the Ta As phase was achieved.Our work presents an effective method for the fabrication of Ta As films using PLD,enabling possible use of the Weyl semimetal film for functional devices. 展开更多
关键词 weyl semimetal Ta As film pulsed laser deposition
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New light fields based on integration theory within the Weyl ordering product of operators
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作者 张科 李兰兰 +1 位作者 郭大伟 范洪义 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第4期160-164,共5页
The development of quantum optics theory based on the method of integration within an ordered product of operators(IWOP)has greatly stimulated the study of quantum states in the light field,especially non-Gaussian sta... The development of quantum optics theory based on the method of integration within an ordered product of operators(IWOP)has greatly stimulated the study of quantum states in the light field,especially non-Gaussian states with various non-classical properties.In this paper,the two-mode squeezing operator is derived with integral theory within the Weyl ordering product of operators using a combinatorial field in which one mode is a chaotic field and the other mode is a vacuum field.The density operator of the new light field,its entanglement property and photon number distribution are analyzed.We also note that tracing a three-mode pure state can yield this new light field.These methods represent a theoretical approach to investigating new density operators of light fields. 展开更多
关键词 integration within an ordered product of operators two-mode squeezing operator weyl ordering entanglement property
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算子及其矩阵的(UWE)性质与A-Weyl定理
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作者 孙晨辉 曹小红 《数学年刊(A辑)》 CSCD 北大核心 2023年第4期399-408,共10页
运用新的谱集,给出了有界线性算子同时满足(UWE)性质与a-Weyl定理的充要条件,之后利用主要结论,得到了2×2上三角算子矩阵及其函数同时满足(UWE)性质与a-Weyl定理的新的判定方法.
关键词 (UWE)性质 a-weyl定理 算子矩阵
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算子函数的a-Weyl定理和(R)性质
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作者 赵玲玲 高凯 +1 位作者 洪明理 王福昌 《华南师范大学学报(自然科学版)》 北大核心 2023年第5期80-87,共8页
文章利用谱集的关系给出判定有界线性算子分别满足a-Weyl定理和(R)性质的新方法,在此基础上,得到算子同时满足a-Weyl定理和(R)性质的充要条件;然后,讨论了算子函数满足a-Weyl定理和(R)性质的充要条件,最终得到算子函数同时满足a-Weyl定... 文章利用谱集的关系给出判定有界线性算子分别满足a-Weyl定理和(R)性质的新方法,在此基础上,得到算子同时满足a-Weyl定理和(R)性质的充要条件;然后,讨论了算子函数满足a-Weyl定理和(R)性质的充要条件,最终得到算子函数同时满足a-Weyl定理和(R)性质的判定方法。 展开更多
关键词 a-weyl定理 (R)性质 算子函数
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C~3型仿射Weyl群中的Φ值
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作者 王雨露 王利萍 何厚智 《理论数学》 2023年第12期3475-3480,共6页
半线性方程组是计算仿射Weyl群Kazhdan-Lusztig系数的重要工具,而Φ值是求解半线性方程组的一个重要变量。对于Φ值的计算,成为研究Kazhdan-Lusztig系数的关键环节。本文综合利用李代数表示理论中的权格、根格,及计算机编程,对于C~3型仿... 半线性方程组是计算仿射Weyl群Kazhdan-Lusztig系数的重要工具,而Φ值是求解半线性方程组的一个重要变量。对于Φ值的计算,成为研究Kazhdan-Lusztig系数的关键环节。本文综合利用李代数表示理论中的权格、根格,及计算机编程,对于C~3型仿射Weyl群,计算得出了全部的Φ值。这些结果对于进一步计算该群的某些Kazhdan-Lusztig系数奠定了基础。 展开更多
关键词 仿射weyl 半线性方程组 Φ值
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A-Weyl’s定理和(WE)性质的摄动
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作者 车雨红 戴磊 《数学理论与应用》 2023年第3期81-94,共14页
本文研究使有界线性算子的a-Weyl定理和(WE)性质都成立的充分必要条件.同时,研究a-Weyl定理和(WE)性质在拟幂零或紧摄动下的稳定性.作为应用,研究特殊算子的相关稳定性.
关键词 A-weyl定理 (WE)性质 紧摄动 拟幂零摄动
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