In this presentation we present the Green’s functions and density of states for the most frequently encountered 2D lattices: square, triangular, honeycomb, kagome, and Lieb lattice. Though the results are well known,...In this presentation we present the Green’s functions and density of states for the most frequently encountered 2D lattices: square, triangular, honeycomb, kagome, and Lieb lattice. Though the results are well known, we hope that its derivation performed in a uniform way provides some pedagogical value.展开更多
through single-site excitation. By changing the initial to the lattices, periodic oscillations of the localized quadruple state becomes a rotating doubly charged undergo charge-flipping when the rotating direction is ...through single-site excitation. By changing the initial to the lattices, periodic oscillations of the localized quadruple state becomes a rotating doubly charged undergo charge-flipping when the rotating direction is orientation of the incident quadruple beam related quadruple mode may be obtained. The localized optical vortex （DCV） during rotation and should reversed.展开更多
Magnetism has revolutionized important technologies,and continues to bring forth new phenomena in emergent materials and reduced dimensions.Here,using first-principles calculations,we demonstrate that the already-synt...Magnetism has revolutionized important technologies,and continues to bring forth new phenomena in emergent materials and reduced dimensions.Here,using first-principles calculations,we demonstrate that the already-synthesized two-dimensional(2D)Ni-tetracyanoquinodimethane(Ni_(2)(TCNQ)_(2))lattice is a stable ferromagnetism material with multiple spin-polarized Dirac cones.The conical bands in proximity of the Fermi level can be tuned by external tensile strain and show the fourfold degenerate electronic states at the critical tensile strain of~2.35%,whose energy dispersion is consistent with 2D Cairo pentagonal lattice.In addition,spin-orbital coupling can open a band gap at the Dirac point of A,leading to topologically nontrivial electronic states characterized by the non-zero Chern number and the edge states of nanoribbon.Our results offer versatile platforms for the realization of massless spintronics with full-spin polarization in 2D Cairo pentagonal Ni_(2)(TCNQ)_(2) Lattice.展开更多
In this paper, we apply the source generation procedure to the coupled 2D Toda lattice equation （also called Pfaffianized 2D Toda lattice）, then we get a more generalized system which is the coupled 2D Toda lattice ...In this paper, we apply the source generation procedure to the coupled 2D Toda lattice equation （also called Pfaffianized 2D Toda lattice）, then we get a more generalized system which is the coupled 2D Toda lattice with self-consistent sources （p-2D TodaESCS）, and a pfaman type solution of the new system is given. Consequently, by using the reduction of the pfaffian solution to the determinant form, this new system can not only be reduced to the 2D TodaESCS, but be reduced to the coupled 2D Toda lattice equation. This result indicates that the p-2D TodaESCS is also a pfafilan version of the 2D TodaESCS, which implies the commutativity between the source generation procedure and Pfaffianization is valid to the semi-discrete soliton equation.展开更多
文摘In this presentation we present the Green’s functions and density of states for the most frequently encountered 2D lattices: square, triangular, honeycomb, kagome, and Lieb lattice. Though the results are well known, we hope that its derivation performed in a uniform way provides some pedagogical value.
基金supported by the National"973"Program of China(Nos.2013CB632703 and 2013CB328702)the National Natural Science Foundation of China(Nos.60908002 and 10904078)+4 种基金the International S&T Cooperation Program of China(No.2011DFA52870)the Specialized Research Fund for the Doctoral Program of Higher Education(No.20120031120031)the International Cooperation Program of Tianjin(No.11ZGHHZ01000)the"111"Project(No.B07013)the Program for New Century Excellent Talents in University(No.NCET-10-0507)
文摘through single-site excitation. By changing the initial to the lattices, periodic oscillations of the localized quadruple state becomes a rotating doubly charged undergo charge-flipping when the rotating direction is orientation of the incident quadruple beam related quadruple mode may be obtained. The localized optical vortex （DCV） during rotation and should reversed.
基金A.W.greatly appreciates the National Natural Science Foundation of China(No.11904131)the Natural Science Foundation of Shandong Province(No.ZR2019BA006)+2 种基金M.Z.thanks the supports from the National Natural Science Foundation of China(No.11774201)the Taishan scholarship of Shandong Province.N.R.appreciates the National Natural Science Foundation of China(No.51972148)L.D.thanks the support from the National Natural Science Foundation of China(No.51802118).
文摘Magnetism has revolutionized important technologies,and continues to bring forth new phenomena in emergent materials and reduced dimensions.Here,using first-principles calculations,we demonstrate that the already-synthesized two-dimensional(2D)Ni-tetracyanoquinodimethane(Ni_(2)(TCNQ)_(2))lattice is a stable ferromagnetism material with multiple spin-polarized Dirac cones.The conical bands in proximity of the Fermi level can be tuned by external tensile strain and show the fourfold degenerate electronic states at the critical tensile strain of~2.35%,whose energy dispersion is consistent with 2D Cairo pentagonal lattice.In addition,spin-orbital coupling can open a band gap at the Dirac point of A,leading to topologically nontrivial electronic states characterized by the non-zero Chern number and the edge states of nanoribbon.Our results offer versatile platforms for the realization of massless spintronics with full-spin polarization in 2D Cairo pentagonal Ni_(2)(TCNQ)_(2) Lattice.
基金Supported by the Fundamental Research Funds for the Central Universitiesthe Research Funds of Renmin University of China under Grant No. 07XNA013
文摘In this paper, we apply the source generation procedure to the coupled 2D Toda lattice equation （also called Pfaffianized 2D Toda lattice）, then we get a more generalized system which is the coupled 2D Toda lattice with self-consistent sources （p-2D TodaESCS）, and a pfaman type solution of the new system is given. Consequently, by using the reduction of the pfaffian solution to the determinant form, this new system can not only be reduced to the 2D TodaESCS, but be reduced to the coupled 2D Toda lattice equation. This result indicates that the p-2D TodaESCS is also a pfafilan version of the 2D TodaESCS, which implies the commutativity between the source generation procedure and Pfaffianization is valid to the semi-discrete soliton equation.
