伴随着拓扑材料的出现,拓扑物理学成为了当代凝聚态物理的前沿与热点之一.拓扑特性是描述材料的物理量在连续变换下会保持不变的性质(如陈数Chern number),种类包括拓扑绝缘体、外尔和狄拉克等拓扑半金属、拓扑磁材料等.一维手性磁孤子(...伴随着拓扑材料的出现,拓扑物理学成为了当代凝聚态物理的前沿与热点之一.拓扑特性是描述材料的物理量在连续变换下会保持不变的性质(如陈数Chern number),种类包括拓扑绝缘体、外尔和狄拉克等拓扑半金属、拓扑磁材料等.一维手性磁孤子(chiral magnetic solitons),类似于磁性斯格明子(skyrmions),是一类具有拓扑性和准粒子性的磁结构,具有丰富的物理特性和潜在应用价值.本文详细总结了一种具有一维手性磁孤子结构的晶体Cr1/3NbS2,包括其晶体构型、磁相互作用、磁结构、维度调控以及相变物理等物理特性.希望本综述能为研究拓扑磁材料的科研人员提供详实的参考,为将拓扑和手性磁性引入到二维层状材料家族提供研究思路,促进拓扑磁电子学的发展,为相关器件提供更多的材料选择和理论基础.展开更多
A hybrid method combining finite difference time domain(FDTD)with topology network was presented to treat with electromagnetic couplings and transmissions in large spaces A generalized matrix euqation expressing th...A hybrid method combining finite difference time domain(FDTD)with topology network was presented to treat with electromagnetic couplings and transmissions in large spaces A generalized matrix euqation expressing the relations among wave vectors at every port of the network nodes was give Scattering characteristics and electromagnetic distributions of every node was calculated independently using FDTD A structure of irises in a waveguide was taken as numerical examples This hybrid method has more advantages than the traditional FDTD method which includes saving calculation time,saving memory spaces and being flexible in setting up FDTD grids展开更多
The aim of this paper is to present a rigorous mathematical proof of the dynamical laws for the topological solitons( magnetic vortices) in ferromagnets and anti-ferromagnets. It is achieved through the conservation l...The aim of this paper is to present a rigorous mathematical proof of the dynamical laws for the topological solitons( magnetic vortices) in ferromagnets and anti-ferromagnets. It is achieved through the conservation laws for the topological vorticity and the weak convergence methods.展开更多
Two kinds of topological soliton （skyrmion and magnetic vortex ring） in ferromagnets are studied. They have the common topological origin, a tensor Hαβ = n→·（δαn→×βδn→）, which describes the non-...Two kinds of topological soliton （skyrmion and magnetic vortex ring） in ferromagnets are studied. They have the common topological origin, a tensor Hαβ = n→·（δαn→×βδn→）, which describes the non-trivial distribution of local orientation of magnetization n→ at large distances in space. The topological stability of skyrmion is protected by the winding number. Knot-like topological defect as magnetic vortex rings is also studied. On the assumption that magnetic vortex rings are geometric lines, we present their δ-function distribution in ferromagnetic materials. Furthermore, it is briefly shown that Hopf invariant is a proper topological invariant to describe the topology of magnetic vortex rings.展开更多
In this paper,knotted objects (RS vortices) in the theory of topological phase singularity in electromagneticfield have been investigated in details.By using the Duan's topological current theory,we rewrite the to...In this paper,knotted objects (RS vortices) in the theory of topological phase singularity in electromagneticfield have been investigated in details.By using the Duan's topological current theory,we rewrite the topological currentform of RS vortices and use this topological current we reveal that the Hopf invariant of RS vortices is just the sum ofthe linking and self-linking numbers of the knotted RS vortices.Furthermore,the conservation of the Hopf invariant inthe splitting,the mergence and the intersection processes of knotted RS vortices is also discussed.展开更多
By making use of the C-mapping topological current theory and the decomposition of gauge potential theory, we investigate the （2＋1）-dimensional skyrmion excitations in ferromagnets. We also discuss the branch proce...By making use of the C-mapping topological current theory and the decomposition of gauge potential theory, we investigate the （2＋1）-dimensional skyrmion excitations in ferromagnets. We also discuss the branch processes of these skyrmions and the generation and annihilation of skyrmion-antiskyrmion pairs.展开更多
Based on the φ-mapping topological current theory and the decomposition of gauge potential theory, the vortex lines and the monopoles in electrically conducting plasmas are studied. It is pointed out that these two t...Based on the φ-mapping topological current theory and the decomposition of gauge potential theory, the vortex lines and the monopoles in electrically conducting plasmas are studied. It is pointed out that these two topological structures respectively inhere in two-dimensional and three-dimensional topological currents, which can be derived from the same topological term n^→·（Эin^→×Эjn^→）, and both these topological structures axe characterized by the φ-mapping topological numbers-Hopf indices and Brouwer degrees. Furthermore, the spatial bifurcation of vortex lines and the generation and annihilation of monopoles are also discussed. At last, we point out that the Hopf invaxiant is a proper topological invaxiant to describe the knotted solitons.展开更多
文摘伴随着拓扑材料的出现,拓扑物理学成为了当代凝聚态物理的前沿与热点之一.拓扑特性是描述材料的物理量在连续变换下会保持不变的性质(如陈数Chern number),种类包括拓扑绝缘体、外尔和狄拉克等拓扑半金属、拓扑磁材料等.一维手性磁孤子(chiral magnetic solitons),类似于磁性斯格明子(skyrmions),是一类具有拓扑性和准粒子性的磁结构,具有丰富的物理特性和潜在应用价值.本文详细总结了一种具有一维手性磁孤子结构的晶体Cr1/3NbS2,包括其晶体构型、磁相互作用、磁结构、维度调控以及相变物理等物理特性.希望本综述能为研究拓扑磁材料的科研人员提供详实的参考,为将拓扑和手性磁性引入到二维层状材料家族提供研究思路,促进拓扑磁电子学的发展,为相关器件提供更多的材料选择和理论基础.
文摘A hybrid method combining finite difference time domain(FDTD)with topology network was presented to treat with electromagnetic couplings and transmissions in large spaces A generalized matrix euqation expressing the relations among wave vectors at every port of the network nodes was give Scattering characteristics and electromagnetic distributions of every node was calculated independently using FDTD A structure of irises in a waveguide was taken as numerical examples This hybrid method has more advantages than the traditional FDTD method which includes saving calculation time,saving memory spaces and being flexible in setting up FDTD grids
文摘The aim of this paper is to present a rigorous mathematical proof of the dynamical laws for the topological solitons( magnetic vortices) in ferromagnets and anti-ferromagnets. It is achieved through the conservation laws for the topological vorticity and the weak convergence methods.
基金National Natural Science Foundation of China under Grant No.10275030
文摘Two kinds of topological soliton （skyrmion and magnetic vortex ring） in ferromagnets are studied. They have the common topological origin, a tensor Hαβ = n→·（δαn→×βδn→）, which describes the non-trivial distribution of local orientation of magnetization n→ at large distances in space. The topological stability of skyrmion is protected by the winding number. Knot-like topological defect as magnetic vortex rings is also studied. On the assumption that magnetic vortex rings are geometric lines, we present their δ-function distribution in ferromagnetic materials. Furthermore, it is briefly shown that Hopf invariant is a proper topological invariant to describe the topology of magnetic vortex rings.
基金supported by National Natural Science Foundation of China and the Cuiying Programme of Lanzhou University
文摘In this paper,knotted objects (RS vortices) in the theory of topological phase singularity in electromagneticfield have been investigated in details.By using the Duan's topological current theory,we rewrite the topological currentform of RS vortices and use this topological current we reveal that the Hopf invariant of RS vortices is just the sum ofthe linking and self-linking numbers of the knotted RS vortices.Furthermore,the conservation of the Hopf invariant inthe splitting,the mergence and the intersection processes of knotted RS vortices is also discussed.
基金supported by National Natural Science Foundation of Chinathe Cuiying Programme of Lanzhou University
文摘By making use of the C-mapping topological current theory and the decomposition of gauge potential theory, we investigate the （2＋1）-dimensional skyrmion excitations in ferromagnets. We also discuss the branch processes of these skyrmions and the generation and annihilation of skyrmion-antiskyrmion pairs.
基金supported by the National Natural Science Foundation of Chinathe Cuiying Programme of Lanzhou University
文摘Based on the φ-mapping topological current theory and the decomposition of gauge potential theory, the vortex lines and the monopoles in electrically conducting plasmas are studied. It is pointed out that these two topological structures respectively inhere in two-dimensional and three-dimensional topological currents, which can be derived from the same topological term n^→·（Эin^→×Эjn^→）, and both these topological structures axe characterized by the φ-mapping topological numbers-Hopf indices and Brouwer degrees. Furthermore, the spatial bifurcation of vortex lines and the generation and annihilation of monopoles are also discussed. At last, we point out that the Hopf invaxiant is a proper topological invaxiant to describe the knotted solitons.
