The robustness of the quantum spin Hall effect to the thickness fluctuation in HgTe quantum wells

The quantum spin Hall effect(QSHE) was first realized in HgTe quantum wells(QWs),which remain the only known two-dimensional topological insulator so far.In this paper,we have systematically studied the effect of the thickness fluctuation of HgTe QWs on the QSHE.We start with the case of constant mass with random distributions,and reveal that the disordered system can be well described by a virtual uniform QW with an effective mass when the number of components is small.When the number is infinite and corresponds to the real fluctuation,we find that the QSHE is not only robust,but also can be generated by relatively strong fluctuation.Our results imply that the thickness fluctuation does not cause backscattering,and the QSHE is robust to it.     

原儿茶酸和藜芦酸与生物大分子相互作用的光谱学研究

原儿茶酸(P)和藜芦酸(V)属于酚酸类化合物, 具有广泛的生理和药理活性。应用荧光光谱,紫外光谱等方法研究了P和V与鱼精DNA(fsDNA)的相互作用机理。紫外光谱显示P和V在190～230 nm(K吸收带)、230～270 nm(B吸收带)和270～310 nm(R吸收带)有3个较强的吸收带。在280 nm激发光波长时,位于338和334 nm处有强的荧光发射峰,其荧光发射峰在与fsDNA结合后发生明显的猝灭现象。P和V的stern-volmer猝灭速率常数分别1.03×1012和0.61×1012 L·mol-1·s-1,为静态猝灭机理。药物与DNA之间形成了复合物,结合常数分别为K_fsDNA/P=6.22×106 L·mol-1、K_fsDNA/V=1.57×104 L·mol-1。研究表明,V与DNA之间的结合比为1∶1,而P可以与DNA分子中的两个碱基发生结合,这与P分子中的两个酚羟基有关。P和V的结构对它们与DNA的结合方式有较大的影响。     

NMR在天然产物选择性分离与结构研究中的应用

核磁共振(NMR)是天然产物化学研究的重要手段. 本工作将核磁共振技术作为选择性提取分离的监测手段,依据目标化合物的NMR谱学特征,以¹H NMR监控和指导从植物体中寻找和得到二萜类化合物收到了较好的效果. 并运用多种核磁共振技术对分离得到的3种二萜类化合物(jolkinolide A、jolkinolide B和17-hydro-xyjolkinolide B)进行了结构解析.     

不同X射线管电压下CsI和CsI(Tl)晶体的X射线辐照致发光

在室温(290 K)和低温(25 K)下,测量了从11～40 kV的一系列管电压下X射线激发纯CsI和CsI (Tl)晶体的辐照致发光(RL)谱.结果表明:在固定温度下,管电压变化后, 305 nm和340 nm的本征发光带和580 nm的非本征发光带的形状结构均不发生变化,只是其强度发生变化.对所测得的各发光带强度随管电压的变化关系用抛物线模型进行了拟合分析,得到了较好的结果.同时还发现纯CsI和CsI (Tl)晶体中所有本征RL发光带强度与X射线强度基本上成正比关系,而当管电压增加时,CsI (Tl)晶体中非本征发光带强度的增加速度慢于本征发光带.分析认为,290 K时这可能与样品中另一个位于400 nm左右的发光带有关;而在25 K时则可能和H心与VK心的竞争有关.     

Gradient Estimates for the Perfect Conductivity Problem

We establish both upper and lower bounds of the gradient estimates for the perfect conductivity problem in the case where perfect (stiff) conductors are closely spaced inside an open bounded domain and away from the boundary. These results give the optimal blow-up rates of the stress for conductors with arbitrary shape and in all dimensions.     

On F-Sobolev and Orlicz-Sobolev inequalities

Let F ∈ C([0,∞)) be a positive increasing function such that Φ(s):= |s|F(|s|) is a Young function. In general, the F-Sobolev inequality and the Φ-Orlicz-Sobolev inequality are not equivalent. In this paper, a growth condition on F is presented for these two inequalities to be equivalent. The main result generalizes the corresponding known one for F(s) = log^δ(1 + s) (δ > 0). As an application, some criteria are presented for the F-Sobolev inequality to hold.     

Supersolid Phase in One-Dimensional Hard-Core Boson Hubbard Model with a Superlattice Potential

The ground state of the one-dimensional hard-core boson Hubbard model with a superlattice potential is studied by quantum Monte Carlo methods. We demonstrate that besides the CDW phase and the Mott insulator phase, the supersolid phase emerges due to the presence of the superlattice potential, which reflects the competition with the hopping term. We also study the densities of sublattices and have a clear idea about the distribution of the bosons on the lattice.     

Discrete breathers in a model with Morse potentials

Under harmonic approximation, this paper discusses the linear dispersion relation of the one-dimensional chain. The existence and evolution of discrete breathers in a general one-dimensional chain are analysed for two particular examples of soft (Morse) and hard (quartic) on-site potentials. The existence of discrete breathers in one-dimensional and two-dimensional Morse lattices is proved by using rotating wave approximation, local anharmonic approximation and a numerical method. The localization and amplitude of discrete breathers in the two-dimensional Morse lattice with on-site harmonic potentials correlate closely to the Morse parameter a and the on-site parameter к.     

利用高光谱红边与黄边位置距离识别小麦条锈病

研究的目的是利用高光谱遥感尽可能早地识别出健康与遭受条锈病胁迫的小麦。通过人工田间诱发不同等级条锈病,在不同生育期测定感染不同严重程度条锈病的冬小麦冠层光谱及病情指数(disease index,DI)。对测定的光谱进行平滑并计算一阶微分值,并用两种方法分别提取光谱红边位置(red edge position,REP)与黄边位置(yellow edge position,YEP)：(1)一阶微分最大值法;(2)Cho and Skidmore方法。研究表明随着病情严重度的增加,REP逐渐向短波方向移动,YEP逐渐向长波方向移动,而REP-YEP则迅速的减小。分别对比分析了REP,YEP以及REP-YEP预测DI的能力,结果表明,以REP-YEP为变量的模型预测DI的精度最好,模型估测绝对误差(RMSE)仅为6.22,相对误差(relative error,RE)为14.3%,且能够提前12 d识别出健康与病害胁迫的小麦。该研究不仅可为将来利用高光谱遥感大面积监测小麦病害提供理论与技术支持,而且对精准农业的实施也具有重要意义与实际应用价值。     

Windowed-Kontorovich-Lebedev transforms

The aim of this paper is to study the boundedness of the windowed-Kontorovich-Lebedev transforms. For this purpose, we first define the translation associated to the Kontorovich-Lebedev transform and a generalized convolution product, then obtain some harmonic analysis results. We present a sufficient and necessary condition for the boundedness of the windowed-Kontorovich-Lebedev transform. Finally, we define the corresponding Weyl operator, and study the boundedness and compactedness of the Weyl operator with symbols in L ^q (q ∈ [1, 2]) acting on L ^p .