Two-dimensional commensurate soliton structures

A phase diagram of pinned soliton structures in two dimensions has been found for a repulsive interactionU(x) between solitons withU(x)>0. The critical fugacity of the commensurate soliton structure is shown to be proportional toU(l), wherel is the period of this structure.     

On U(1) Gauge Theory Transfer-Matrix in Fourier Basis*

The properties of the transfer-matrix of U(1) lattice gauge theory in the Fourier basis are explored. Among other statements it is shown: (i) the transfer-matrix is block-diagonal, (ii) all consisting vectors of a block are known based on an arbitrary block vector, (iii) the ground-state belongs to the zero-mode's block. The emergence of maximum-points in matrix-elements as functions of the gauge coupling is clarified. Based on explicit expressions for the matrix-elements we present numerical results as tests of our statements.     

Condensation and Crystal Nucleation in a Lattice Gas with a Realistic Phase Diagram

We reconsider model II of Orban et al. (J. Chem. Phys. 1968, 49, 1778–1783), a two-dimensional lattice-gas system featuring a crystalline phase and two distinct fluid phases (liquid and vapor). In this system, a particle prevents other particles from occupying sites up to third neighbors on the square lattice, while attracting (with decreasing strength) particles sitting at fourth- or fifth-neighbor sites. To make the model more realistic, we assume a finite repulsion at third-neighbor distance, with the result that a second crystalline phase appears at higher pressures. However, the similarity with real-world substances is only partial: Upon closer inspection, the alleged liquid–vapor transition turns out to be a continuous (albeit sharp) crossover, even near the putative triple point. Closer to the standard picture is instead the freezing transition, as we show by computing the free-energy barrier relative to crystal nucleation from the “liquid”.     

Analytical model of an acoustic diode comprising a superlattice and a nonlinear medium

We give an analytical analysis to the acoustic propagation in an acoustic diode (AD) model formed by coupling a superlattice (SL) with a nonlinear medium. Analytical solutions of the acoustic transmission are obtained by studying the propagations in the SL and the nonlinear medium separately with the conventional transfer-matrix method and a perturbation technique. Compared with the previous numerical method, the proposed approach contributes a better physical insight into the intrinsic mechanism of acoustic rectification and helps us to predict the performance of an AD within the effective rectifying bands in a simple way. This is potentially significant for the practical design and fabrication of AD devices.     

准周期耦合量子点的输运性质

讨论了一种一维准周期系统的输运性质.该系统由一系列Fibonacci耦合的量子点组成.利用转移矩阵方法并考虑实验技术,推导了通过一系列量子点的电子透射几率,从而讨论了电导与磁场和电压的关系.通过数字计算获得了具有非常丰富结构的透射谱,这种结构的丰富性依赖于量子点间的耦合.     

The effect of three-body interactions on thermal desorption spectra

Thermal desorption spectra are calculated for a one-dimensional chain and for a two-dimensional square lattice using the transfer-matrix technique and Monte Carlo simulations. Lateral interactions of adsorbed particles cause a splitting of spectra. The repulsive three-body interactions are shown to lead to an inequality of the integral intensities of the thermal desorption peaks.     

含单负特异材料一维无序扰动周期结构中的光子局域特性研究

采用传输矩阵法研究了电磁波在由单负特异材料组成的一维无序扰动周期结构中的Anderson局域(Anderson Localization)行为,分别讨论了色散和非色散两种模型.结果发现,在对应周期结构的通带位置,无序的引入对局域长度的影响较大,而在带隙位置,影响较小,几乎可以忽略.该性质与我们曾讨论的随机结构有较明显不同.导致这种局域性质的主要原因应为,光在单负材料组成的系统中的传输主要依赖于两种单负材料间的界面.在无序扰动结构中,该界面数相对于周期结构并没有减少,因此对光的传输性质影响较小,而随机结构中     

用于光催化领域的TiO_2与一维光量子阱复合结构的设计与优化

利用传输矩阵法设计并优化了用于光催化领域的TiO_2与一维光量子阱的复合结构,并分析了ZnS/SiO_2多层膜量子阱结构的透射特性.通过调节一系列的结构参数,在TiO_2光吸收波段(329.23 nm～482.71 nm)得到一个较宽的高反射率带隙,并且在吸收边附近(380 nm左右)得到了一个反射率高于93%的慢光子效应区.通过增加光线与TiO_2的作用时间和路径来提高光催化效率.     

含激活介质的一维光子晶体缺陷模特性研究

首先研究了(AB)6A(BA)6型一维光子晶体带隙特征,然后将激活介质C替代中间位置的A,构成(AB)6C(BA)6型光子晶体,并用数值模拟法研究了缺陷层C的厚度和折射率对光子晶体带隙的影响.结果显示这种含有激活介质的光子晶体具有一些新的特征,在原来的禁带位置出现了透射率大于1的透射窄带,并且透射窄带的数目和透射率可以通过改变缺陷层的相关参数调节.这些现象都可以用布拉格散射和法布里一珀罗共振原理得到解释.     

Backward Transfer-Matrix Method for Elastic Analysis of Layered Solids with Imperfect Bonding

This paper presents a backward transfer-matrix method for the elastic analysis of layered solids with an imperfect bonding at the layer interfaces. Literature review reveals that the conventional transfer-matrix method has an intrinsic fault which leads to ill-conditioned matrices for thick layers and accumulative numerical errors for a large number of layers and that there are a few publications available in the relevant literature regarding analytical analysis of layered solids by taking into account the effects of imperfectly bonded interfaces. The backward transfer-matrix method adopted in this paper completely overcomes the ill-posedness associated with the conventional transfer-matrix method and fully retains the highest efficiency of the classical transfer-matrix concept for analytical formulation of solutions in layered elastic solids with imperfectly bonded interfaces. Numerical results indicate that there is no problem in the numerical evaluation of the solutions with high accuracy and efficiency, and that the interfacial bonding conditions have a significant effect on the elastic response of layered solids due to external loading. This revised version was published online in August 2006 with corrections to the Cover Date.