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1.
图的划分问题曾引起图论界的广泛关注,在文献[4]中讨论了k-单圈划分,本文进一步研究基于k-单圈划分的优化问题,即在一个赋权图中求一个最小权可k-单圈划分的支撑子图,以及对一个不存在k-单圈划分支撑子图的图,如何添最少的边使得它有k-单圈划分的支撑子图。 相似文献
2.
采用密度泛函理论(DFT)方法,在LDA+U水平下详细研究了电场和应力作用下氮钝化扶手型氧化锌纳米带(NA8-ZnONRs)的电子结构和磁特性。对体系的电子结构和磁性进行详细的计算,结果表明:本征扶手型氧化锌纳米带(A8-ZnONRs)是无磁性P型半导体。氮钝化后NA8-ZnONRs具有铁磁金属性,其磁性主要来源于N2p轨道(2.56μB)和O2p轨道(0.69μB)电子的自旋极化,总磁矩为3.21μB。NA8-ZnONRs体系对X方向电场有较强的响应,通过调节X方向电场的幅度,可以有效调节体系的磁矩。在X方向电场作用下体系仍具有铁磁金属性,磁性也主要来源于N2p和O2p轨道电子的自旋极化。施加X方向应力作用后,体系仍表现为铁磁金属性。与NA8-ZnONRs纳米带磁矩相比,体系的总磁矩均发生了较大幅度的增长,表明体系对应力作用具有较明显的相应。但随着应力幅度的调节,总磁矩的变化较平坦。表明施加应力可以有效调节体系的磁矩,但在较小应力范围内,体系对应力变化的相应不明显。 相似文献
3.
We explore the low-frequency noise of interacting electrons in a one-dimensional structure (quantum wire or interaction-coupled edge states) with counterpropagating modes, assuming a single channel in each direction. The system is driven out of equilibrium by a quantum point contact (QPC) with an applied voltage, which induces a double-step energy distribution of incoming electrons on one side of the device. A second QPC serves to explore the statistics of outgoing electrons. We show that measurement of a low-frequency noise in such a setup allows one to extract the Luttinger liquid constant K which is the key parameter characterizing an interacting 1D system. We evaluate the dependence of the zero-frequency noise on K and on parameters of both QPCs (transparencies and voltages). 相似文献
4.
We investigated numerically localization properties of electron eigenstates in a chain with long-range correlated diagonal
disorder. A tight-binding one-dimensional model with
on-site energies exhibiting long-range correlated disorder (LCD)
was used with various disorder strength W. LCD was defined so
that it gave a power-law spectral density of the form S(k)αk-p, where p determines the roughness of the potential landscape. Numerical results on the correlation length ξ of
eigenstates shows the existence of the localization-delocalization transition at p=2. It is found that the critical values
for disorder strength Wc and also the critical exponent ν for
localization length change with the values of p. 相似文献
5.
Let G be a finite k‐edge‐connected simple graph. We consider when a set of independent edges can be extended to a 2‐factor such that this 2‐factor avoids a fixed set of independent edges. A complete characterization is provided in those cases, where this is feasible. © 2005 Wiley Periodicals, Inc. J Graph Theory 49: 48–58, 2005 相似文献
6.
Mobility edges and reentrant localization in one-dimensional dimerized non-Hermitian quasiperiodic lattice
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《中国物理 B》2021,30(9):97202-097202
The mobility edges and reentrant localization transitions are studied in one-dimensional dimerized lattice with nonHermitian either uniform or staggered quasiperiodic potentials.We find that the non-Hermitian uniform quasiperiodic disorder can induce an intermediate phase where the extended states coexist with the localized ones,which implies that the system has mobility edges.The localization transition is accompanied by the PT symmetry breaking transition.While if the non-Hermitian quasiperiodic disorder is staggered,we demonstrate the existence of multiple intermediate phases and multiple reentrant localization transitions based on the finite size scaling analysis.Interestingly,some already localized states will become extended states and can also be localized again for certain non-Hermitian parameters.The reentrant localization transitions are associated with the intermediate phases hosting mobility edges.Besides,we also find that the non-Hermiticity can break the reentrant localization transition where only one intermediate phase survives.More detailed information about the mobility edges and reentrant localization transitions are presented by analyzing the eigenenergy spectrum,inverse participation ratio,and normalized participation ratio. 相似文献
7.
该文确定了完全二部图 $K_{2,4}$ 与路 $P_n$ 的笛卡儿积图的交叉数. 相似文献
8.
本文研究了涉及四个单形的一类不等式问题.利用距离几何的理论和方法获得了两个单形的棱长与另两个单形的内点、中线、高、外接超球半径、内切超球半径、旁切超球半径以及n-1维侧面的体积、外接超球半径、内切超球半径的一类新的几何不等式.推广了文献([5])中的全部结果. 相似文献
9.
The star graph is one of the most attractive interconnection networks. The cycle embedding problem is widely discussed in many networks, and edge fault tolerance is an important issue for networks since edge failures may occur when a network is put into use. In this paper, we investigate the cycle embedding problem in star graphs with conditional faulty edges. We show that there exist fault-free cycles of all even lengths from 6 to n! in any n-dimensional star graph Sn (n ? 4) with ?3n − 10 faulty edges in which each node is incident with at least two fault-free edges. Our result not only improves the previously best known result where the number of tolerable faulty edges is up to 2n − 7, but also extends the result that there exists a fault-free Hamiltonian cycle under the same condition. 相似文献
10.
A two-dimensional linearized problem on plane buckling modes (BMs) of a rectangular plate with free edges, made of an elastic
orthotropic material, underbiaxial tension-compression is considered. With the use of double trigonometric basis functions,
displacement functions exactly satisfying all static boundary condition on plate edges are constructed. It is shown that the
exact analytic solutions found describe only the pure shear BMs, and if the normal stress in one direction is assumed equal
to zero, an analog of the solution given by the kinematic Timoshenko model can be obtained. Upon performing the limit passage
to the zero harmonic in the displacement functions of one of the directions, the solution to the problem of biaxial compression
can be obtained by equating the Poisson ratio to zero; in the case of uniaxial compression, this solution exactly agrees with
that following from the classical Bernoulli-Euler model.
__________
Translated from Mekhanika Kompozitnykh Materialov, Vol. 43, No. 2, pp. 149–170, March–April, 2007. 相似文献