有限一维二元离子晶体的表面电子态

１９６０年Ａｅｒｔｓ[１］用散射矩阵研究了一维二元离子晶体的表面电子态．随后,Ａｍｏｓ和Ｄａｖｉｓｏｎ[２］,Ｄａｖｉｓｏｎ和Ｋｏｕｔｅｃｋｙ[３］,Ｌｅｖｉｎｅｅ和Ｄａｖｉｓｏｎ[４］等也分别研究过这个问题,他们用的是半无限的一维模型．本文用分子轨道－原子轨道线性组合（ＭＯ－ＬＣＡＯ）法,并用ＴＢ（即Ｔｉｇｈｔ－Ｂｉｎｄｉｎｇ）近似（紧束缚近似）考察同类晶体的有限一维模型的表面态问题,导出表面?...     

一维有限超晶格的电子态与透射问题的转移矩阵方法研究

采用转移矩阵方法,研究了一维有限超晶格的电子态与透射问题.计算了一维有限超晶格含单个缺陷层或少量缺陷层的透射谱和波函数,以及当电子被束缚在一维有限超晶格中电子的本征值和相应的定态本征函数.给出的方法对于研究电子通过任意排列的一维有限超晶格的输运具有普适性.     

有限尺寸石墨烯的电子态

根据π电子的紧束缚模型, 通过有限系统的Bloch定理方法, 解析计算了有限尺寸石墨烯的电子态和能带. 研究发现, 其电子态有且只有两类, 分别是驻波态和边缘态.驻波态时, 波函数形式是两个方向都是正弦函数; 边缘态时, 波函数形式是Armchair边界的方向是双曲正弦函数, Zigzag边界的方向是正弦函数. 其能带由总碳原子数N个离散的本征值组成, 推导了定量计算边缘态的本征值个数的表达式, 并通过态密度来分析边缘态的存在和与无限大情况的一致性. 所有的分析中数值结果与解析理论都完全一致, 当两个受限方向都变成无限长时, 可以得到与无限大石墨烯相同的结果.关键词：紧束缚模型石墨烯边缘态态密度     

一类一维势场中电子态的研究

研究了在一维势场Ｖ_n＝λｃｏｓ（Ｑn＋ａｎ^ｖ）（０＜ｖ＜１）中运动的电子状态,计算了本征能量和本征态的局域化指数。对Ｑ＝２π／３,系统的能带由三个子能带构成。当λ小于２时,每个子带中有两个迁移率边界。研究了扩展态、局域态以及迁移率边界随参数λ,ν,α的变化。关键词：     

一维PSD瞬态响应特性的有限差分方法研究

基于有限差分方法,提出了一种新的PSDRC网络传输线模型模拟算法.利用该算法,得到了一维PSD在不同光信号激励下,从开始响应到进入稳态后的各个阶段的精确数值解.揭示了PSD电极对不同照射点的起始响应时间的差异正相关于光入射点与PSD几何中心之间的距离.在高速瞬态探测时,PSD器件参数限制了激励光脉冲信号的频率,其最高调制速率为1/(3.75Tc).模拟计算结果证明了PSD稳态位置响应结果与入射光类型和时间无关.     

利用光频梳提高台阶高度测量准确度的方法

提出一种利用光频梳和可调谐半导体激光器提高台阶高度测量准确度的方法. 通过将可调谐激光器锁定至光频梳,可对激光器的输出波长进行精确锁定与测量.基于可调合成波长链原理,利用锁定后的半导体激光器构建了一套台阶高度测量方案,该方案可消除合成波长误差对台阶高度测量不确定度的影响. 采用一台可调谐半导体激光器和光频梳进行了5000 s的连续锁定实验, 结果表明,锁定后的可调谐半导体激光器的频率稳定度达 1.8×10^-12.该方法的理论测量不确定度约为7.9 nm, 且测量结果可溯源至时间频率基准.     

耦合界面计算格式的一维流体力学Lagrange有限点方法

为探索高维多介质流体力学散乱点集上的Lagrange有限点方法,首先对相应一维问题进行研究,提出一种Lagrange有限点方法:在计算区域内(包括物质界面)设置任意离散点集,所有力学量都设在该点集上,在内点和界面点上分别建立离散格式.内点算法为基于Taylor展开的差分方法.界面点算法为显式追踪算法,从定解条件出发,利用Rankine-Hugoniot关系和特征差分方法,计算界面点位置及相应的状态量变化.通过追踪界面点的运动得到物质界面是方法的最大特色.典型算例计算结果与精确解符合很好,验证了算法的合理和有效性.     

用基函数展开法求解一维有限深方势阱模型

用基函数展开法求解了一维有限深方势阱模型,所得结果与在坐标表象中直接求解薛定谔方程所得结果完全一致.重要的是这一求解过程为量子力学中基函数展开方法的教授与学习提供了一个范例,也为量子力学问题的计算机求解的教与学提供了参考.     

复合体系方法测量液体力学谱

本文介绍了采用复合体系，测量得到凝聚态物质从固态到液态连续变化力学谱的一种新的实验方法。以簧振动为例，给出了解析的计算公式，以及应用条件。通过进一步综合分析，得到具有更广应用范围的近似公式，可以近似应用于其他不同的振动模式，如低频扭摆。应用新的测量方法，给出了典型小分子玻璃材料甘油和碳酸丙稀从玻璃态到液态的力学谱，观察到甘油和碳酸丙稀玻璃化转变、碳酸丙稀的再结晶、熔化和挥发的过程；测量得到挥发过程中水的质量随时间精确变化的曲线。最后，本文给出了新方法的一些应用展望。     

复合体系方法测量液体力学谱

本文介绍了采用复合体系,测量得到凝聚态物质从固态到液态连续变化力学谱的一种新的实验方法.以簧振动为例,给出了解析的计算公式,以及应用条件.通过进一步综合分析,得到具有更广应用范围的近似公式,可以近似应用于其他不同的振动模式,如低频扭摆.应用新的测量方法,给出了典型小分子玻璃材料甘油和碳酸丙稀从玻璃态到液态的力学谱,观察到甘油和碳酸丙稀玻璃化转变、碳酸丙稀的再结晶、熔化和挥发的过程;测量得到挥发过程中水的质量随时间精确变化的曲线.最后,本文给出了新方法的一些应用展望.     

Surface states in a one-dimensional crystal

The present short paper considers the role of the shape of the surface potential, particularly its long range character, on the existence and energies of the electronic surface states. For that purpose, a one-dimensional crystal is being considered represented by a Kronig-Penney potential

$\text{V}{}_{\mathrm{I}}\text{(z)=?U}{}_0\text{+}\text{∑}\text{n}\text{h}{}^2\text{m}\text{P}\text{a}\text{(s+na)}$

, (P < 0) for z < ? terminated by an image potential of the form V_II (z) = ?Ce²/z(z >?). The physical values of U₀ and a given only two gaps between energies ?U₀ and O. It is found that for a step barrier surface potential at z = ? there is only one surface state in each gap. On the contrary, for an image type potential, the number of surface states depends on the value assumed for ? or C(U₀ = Ce²/?). Varying ? or C, one can modify the shape of the potential from almost a step barrier to an image potential (C = 1) and study the existence of surface states in every case. In particular for C ? 1 (? ? 1 Å) more than one surface state in the higher gap are obtained.     

Both electron and hole Dirac cone states in Ba(FeAs)2 confirmed by magnetoresistance

Quantum transport of Dirac cone states in the iron pnictide Ba(FeAs)(2) with a d-multiband system is studied by using single crystal samples. Transverse magnetoresistance develops linearly against the magnetic field at low temperatures. The transport phenomena are interpreted in terms of the zeroth Landau level by applying the theory predicted by Abrikosov. The results of the semiclassical analyses of a two carrier system in a low magnetic field limit show that both the electron and hole reside as the high mobility states. Our results show that pairs of electron and hole Dirac cone states must be taken into account for an accurate interpretation in iron pnictides, which is in contrast with previous studies.     

Application of coordinate transformation and finite differences method for electron and hole states calculations

In this work we are particularly interested for GaAs/Ga_1−xAl_xAs V-groove quantum wires. The paper presents an efficient and simple method for energy spectra and wave function calculations of electrons and holes in V-groove quantum wires. The method is based on the coordinate transformation of the V-groove quantum wire structure and the computational domain using a function proposed by Inoshita. Then, the Hamiltonian followed by implementation of the FDM (Finite Difference Method) in the new computational space leads to an eigenvalues problem resolved using specialized LAPACK’s routines. The influence of the parameters introduced in the mathematical function, is studied on the energy levels of electrons and holes as well as the oscillator strengths.     

Intertwining technique for the one-dimensional stationary Dirac equation

The technique of differential intertwining operators (or Darboux transformation operators) is systematically applied to the one-dimensional Dirac equation. The following aspects are investigated: factorization of a polynomial of Dirac Hamiltonians, quadratic supersymmetry, closed extension of transformation operators, chains of transformations, and finally particular cases of pseudoscalar and scalar potentials. The method is widely illustrated by numerous examples.     

Collisionless intraband absorption in a system of one-dimensional massless Dirac electrons

It has been shown that the Landau-damping-induced absorption of a modulated high-frequency electric field in a two-dimensional system of particles with a linear spectrum is absent up to the momentum of the field equal to the Fermi momentum of particles. This property qualitatively distinguishes such a system from the system of particles with a parabolic dispersion law, where the mentioned damping exists at any modulation period of an incident wave.