Electron states scattering off line edges on the surface of topological insulator

We study the local density of states （LDOS） for electrons scattering off the line edge of an atomic step defect on the surface of a three-dimensional （3D） topological insulator （TI） and the line edge of a finite 3D TI, where the front surface and side surface meet with different Fermi velocities, respectively. By using a S-function potential to model the edges, we find that the bound states existed along the step line edge significantly contribute to the LDOS near the edge, but do not modify the exponential behavior away from it. In addition, the power-law decaying behavior for LDOS oscillation away from the step is understood from the spin rotation for surface states scattering off the step defect with magnitude depending on the strength of the potential. Furthermore, the electron refraction and total reflection analogous to optics occurred at the line edge where two surfaces meet with different Fermi velocities, which leads to the LDOS decaying behavior in the greater Fermi velocity side similar to that for a step line edge. However, in the smaller velocity side the LDOS shows a different decaying behavior as x-1/2, and the wavevector of LDOS oscillation is no longer equal to the diameter of the constant energy contour of surface band, but is sensitively dependent on the ratio of the two Fermi velocities. These effects may be verified by STM measurement with high precision.     

双热源复合换热器复合换热温差影响因素分析

空气-水双热源复合换热器是太阳能-空气双热源复合热泵系统的核心部件,空气-水双热源复合换热器的有效复合换热温差对空气-水双热源复合换热器的换热性能以及太阳能-空气双热源复合热泵的系统性能具有重要影响。建立了空气-水双热源复合换热器和太阳能-空气双热源复合热泵系统的数学模型,利用数学模拟的方法研究了空气-水双热源复合换热器结构参数,即内外管径、翅片间距对有效复合换热温差的影响。模拟结果表明:空气-水双热源复合换热器的有效复合换热温差随内管管径的减小、外管管径的增大以及翅片间距的减小而增大。     

无反射势阱的Schr?dinger方程的精确解

将无反射势阱的Schr?dinger方程作自变量双曲函数变换,可使其转化为associated-Legendre方程。从而得到分别用associated-Legendre多项式和函数表示的束缚态和散射态本征函数,并讨论了散射态的归一化和这种精确本征函数的应用问题。本文给出的解较文献中已有的渐近解或特殊值的解具有一般性。 关键词：     

Confined states and spin polarization on a topological insulator thin film modulated by an electric potential

We study the electronic structure and spin polarization of the surface states of a three-dimensional topological insulator thin film modulated by an electrical potential well. By routinely solving the low-energy surface Dirac equation for the system, we demonstrate that confined surface states exist, in which the electron density is almost localized inside the well and exponentially decayed outside in real space, and that their subband dispersions are quasilinear with respect to the propagating wavevector. Interestingly, the top and bottom surface confined states with the same density distribution have opposite spin polarizations due to the hybridization between the two surfaces. Along with the mathematical analysis, we provide an intuitive, topological understanding of the effect.     

介观耗散电容耦合电路量子化中的正则变换

针对介观耗散电容耦合RLC电路提出一种一般的正则变换, 并证明了其正确性和合理性. 用这种正则变换研究了双回路介观耗散电容耦合电路的量子化问题, 得出的对角化哈密顿量比文献中多出一非线性项. 这种具有普遍性的一般正则变换可能对研究介观多回路耗散系统的量子涨落、量子噪声等性质具有重要的意义. 关键词： RLC电路')" href="#">RLC电路 量子化 正则变换     

非线性互补问题的两种数值解法

本文研究了非线性互补问题的两类数值求解方法.在经典LQP算法及LevenbergMarquardt算法的基础上,构造了两种新算法,并证明了这两种新算法的收敛性.数值实验表明,新算法对测试问题优于已有算法.     

孤立子—一种非线性效应

本文较为系统地介绍了非线性效应孤立子的发现历史和研究发展过程，较详细地讨论了几种典型孤子方程及其对应孤子解的数学形式与物理意义，同时还简要地介绍了孤子的研究现状和实际应用。     

电动汽车热泵空调系统低温供热实验研究

针对电动汽车热泵空调系统低温供热时性能衰减及融霜效率低的问题,设计了适应于低温供热的热泵空调系统循环,对影响系统性能的各因素进行了实验研究。该系统匹配良好,能适应热泵系统在低温环境下供热。采用合理的控制方法调节系统,能为电动汽车提供良好的乘坐环境。     

冰盘管密度对取冷速率影响的实验研究

在变密度直接蒸发式冰盘管蓄冷特性实验台上,对高、中、低三种不同密度的冰盘管在取冷时的取冷速率进行实验研究,结果表明,高密度冰盘管较传统低密度冰盘管稳定的低温取冷时段延长近69%,取冷速率提高约97%,从而可以很好满足白天空调用电高峰期空调用冷量大而且集中的特殊要求。     

Dynamical Transport Property through an Interacting Quantum Wire

Using the equation of motion, we investigate theoretically the dynamical ac conductance of a clean Luttingerliquid quantum wire adiabatically coupled to Fermi liquid electron reservoirs in the presence of short-ranged electron-electron interactions. For a perfect single mode quantum wire, in the limit of zero-ranged interaction we conclude that the static dc conductance of ω → 0 is e^2 /h, which is independent of the electron interactions. While in the dynamical case of ω≠0, the ac conductance oscillates with the amplitude e^2/h and the period which depends on the interaction strength and the driving frequency as well as the position in the wire.