对称双势垒量子阱中自旋极化输运的时间特性

电子的隧穿时间是描述量子器件动态工作范围的重要指标. 本文考虑k³ Dresselhaus 自旋轨道耦合效应对系统哈密顿量的修正, 结合转移矩阵方法和龙格-库塔法来解含时薛定谔方程, 进而讨论了电子在非磁半导体对称双势垒结构中的透射系数及隧穿寿命等问题. 研究结果发现:由于k³ Dresselhaus 自旋轨道耦合效应使自旋简并消除, 并在时间域内得到了表达, 导致自旋向上和自旋向下电子的透射峰发生了自旋劈裂; 不同自旋取向的电子构建时间和隧穿寿命不同, 这是导致自旋极化的原因之一; 电子的自旋极化在时间上趋于稳定. 关键词： 自旋极化输运 透射系数 隧穿寿命 自旋极化率     

一维三方势垒量子隧穿特性的研究

本文通过严格求解定态薛定谔方程,研究了一维对称三方势垒的量子隧穿特性,解析地给出透射系数的精确表达式,并且数值模拟了势垒高度、势垒间距以及粒子入射能量对透射系数的影响.结果表明：当取不同的势垒宽度,或者不同的粒子入射能量时,透射系数随着势垒间距的增加而呈现出明显的周期式振荡.将一维对称双方势垒和三方势垒进行比较,透射系数随着势垒间距的增大,均呈现周期性振荡,并且振荡周期相同,但三方势垒振荡更剧烈,振幅越大,并且三方对称势垒是双峰曲线,而双方对称势垒是单峰曲线.该特性为设计新型纳米器件以及共振隧穿量子器件等提供理论指导.     

分子电子器件简化模型的电子透射谱的计算

基于分子线耦合到电极的构成特点,采用简化的非对称多势垒连续隧穿模型模拟复合分子器件偏压下的电子隧穿过程,推导电子透射谱的解析表达式,同时计算垒宽、垒距、垒高、电子有效质量和所加偏压等参数与透射系数的关系,结果发现：当电子的能量为某些值时,出现明显的共振隧穿,且透射系数对这些参数的变化非常敏感,这表明可以通过适当的控制方式（如改变复合分子组成、构型等）来修改分子电子器件的输运性质. 关键词： 分子器件 非对称势垒模型 电子透射谱 共振隧穿     

磁台阶势垒结构中二维电子气的自旋极化输运

运用散射矩阵方法,研究了台阶磁势垒量子结构中二维电子气的隧穿输运性质.结果表明：在零偏压下,电子传输概率的自旋极化曲线随入射能量的增加而振荡衰减;随着磁台阶数的增加,电子传输概率的自旋极化度最大值减小,同时电子传输概率的自旋极化度振荡衰减也越来越慢;随着磁台阶的总宽度增加,电子传输概率的自旋极化曲线出现更明显的振荡,电子隧穿磁台阶势垒表现出明显的量子尺寸效应;在偏置电压的作用下,电子传输概率的自旋极化度在宽广的入射能量区出现明显的振荡增大,电子隧穿磁台阶势垒表现出更明显的自旋过滤效应. 关键词： 磁台阶势垒 自旋极化 自旋过滤     

非对称方势垒量子隧穿研究及其数值模拟

为解决传统量子力学方法在研究非对称双势垒问题上计算过于繁琐的问题,利用转移矩阵的方法分别研究了电子对于非对称单势垒和非对称双势垒的量子隧穿特性,对两种情况分别得出了简洁的透射率公式.数值计算结果表明,在合适的参数下,单、双结结构都表现出良好的电导开关效应,且在入射电子能量大于势垒高度时,透射系数呈现显著的周期变化的量子...     

自旋轨道耦合玻色-爱因斯坦凝聚体在尖端势垒散射中的Klein隧穿

本文对自旋-轨道耦合的玻色-爱因斯坦凝聚体经过尖端势垒散射的过程进行了数值模拟,发现散射过程中存在Klein隧穿现象.相较于高斯势垒,尖端势垒散射的Klein阻塞及Klein隧穿区域会向较高势垒方向移动.在Klein隧穿区域,透射系数随势垒高度而振荡下降,且振幅随着势垒增高而逐渐减小.最后,分别讨论了原子相互作用对经典透射区域、Klein阻塞区域以及Klein隧穿区域散射过程的影响.     

光子辅助Fano共振隧穿周期双阱势特性（英文）

周期双阱势的光学性质是激光物理和量子光学的前沿研究领域之一。该文研究了具有时间周期双阱势的石墨烯系统中光子辅助狄拉克电子的Fano型共振隧穿。利用双量子阱结构,电子通过两量子阱之间的薄势垒的共振隧穿将导致束缚态能级的分裂,Fano型共振谱将分裂为两个不对称共振峰。通过改变相位、频率和振幅来调制Fano峰的形状,可以用来调制Dirac在石墨烯中的电子输运性质。数值分析表明,两个振荡场的相对相位可以调节非对称Fano型共振峰的形状。当相对相位从0增加到π时,共振峰谷从峰的一侧移到另一侧;在临界相位3π/11处,不对称共振峰变得对称。此外,还可以通过改变振荡场的频率和振幅以及静态势阱的结构来调制Fano峰的分布。这些有趣的物理性质可以用来调节石墨烯中Dirac的电子输运性质。     

双势垒磁性隧道结的磁电阻效应及其在自旋晶体管中的应用

利用磁控溅射方法沉积双势垒磁性隧道结多层膜, 其中Al-O势垒层由等离子体氧化1 nm厚的 金属铝膜方式制备，然后采用深紫外光曝光和Ar离子刻蚀技术、微加工制备出长短轴分别为 6和3 μm大小的椭圆形双势垒磁性隧道结（DBMTJ），并在室温和低温下对其自旋电子输运 特性进行了研究. DBMTJ的隧穿磁电阻(TMR)比值在室温和42 K分别达到27％和423％， 结电阻分别为136 kΩ·μm²和175 kΩ·μm²，并在实验中观 察到平行状 态下存在低电阻态及共振隧穿效应，反平行态下呈现高电阻态以及TMR随外加偏压或直流电 流的增加而发生振荡现象. 由此，设计了一种基于这种双势垒磁性隧道结隧穿特性的自旋晶 体管. 关键词： 双势垒磁性隧道结 隧穿磁电阻 共振隧穿效应 自旋晶体管     

双势垒抛物势阱磁性隧道结隧穿磁阻及自旋输运性质的研究

采用相干量子输运理论和传递矩阵的方法,在抛物势阱磁性隧道结(F/PW/F)的铁磁和半导体势阱间插入另一种半导体作为势垒,构造具有双势垒的抛物势阱磁性隧道结作为研究对象,研究了抛物势阱宽度、自旋轨道耦合效应、角度效应及插入势垒厚度对隧穿磁阻及自旋输运性质的影响计算结果表明,通过适当调节Rashba自旋轨道藕合强度和插入势垒的厚度,可以实现隧穿磁阻(TMR)的调制,能获得较大的TMR值,这些特点有助于促进新型磁性隧道结的开发和应用.     

一维双方势垒量子隧穿的研究及其数值模拟

量子隧穿效应在实际技术中具有重要应用,本文首先展示了如何求解一维任意边界非对称以及对称双方势垒的透射系数,然后研究了对称双方势垒透射系数对垒宽、垒间距以及微观粒子入射能量与垒高比值(E/U 0)的变化依赖关系.最终得出以下结论,随着双方势垒垒宽的增加,透射系数从最大值1衰减至最小值0.随着垒间距的增加,透射系数呈现周期振荡,本文首次推导得出透射系数最大时对应的垒间距解析表达式,并给出振荡的周期,进一步证明得到它等于微观粒子的德布罗意波长.当垒宽越小时,随着E/U 0的增大,透射系数更容易达到1,并且保持不变,当垒间距越大时,随着E/U 0的增大,透射系数振荡周期变大,而振幅变小,粒子更容易实现共振隧穿.     

Scattering of Wave Packets on the Surface of Topological Insulators in the Presence of Potential Barriers with Magnetization

The nonstationary Schrödinger equation is solved numerically by the Cayley method for wave packets that are formed from surface states on the surface of topological insulators and are scattered by a potential barrier, including a barrier with magnetization. The transmission coefficient and spin density distributions are calculated. Expressions are found for the static transmission coefficient through a barrier with the use of the plane-wave approximation and its generalization for wave packets. It is shown that the two-dimensional nature of wave packets leads to noticeable differences in the behavior of the transmission coefficient compared to that in the plane-wave scattering problem. For instance, two-dimensional packets exhibit a significant suppression of Klein tunneling in some energy regions. The results obtained show that the tunneling and spin density of localized wave-packet-type electronic states in structures based on topological insulators can be affected through potential barriers.     

Statistical measures and the Klein tunneling in single-layer graphene

Statistical complexity and Fisher–Shannon information are calculated in a problem of quantum scattering, namely the Klein tunneling across a potential barrier in graphene. The treatment of electron wave functions as masless Dirac fermions allows us to compute these statistical measures. The comparison of these magnitudes with the transmission coefficient through the barrier is performed. We show that these statistical measures take their minimum values in the situations of total transparency through the barrier, a phenomenon highly anisotropic for the Klein tunneling in graphene.     

Analytical modeling of electrical characteristics of coaxial nanowire FETs

In this paper, an analytical approach based on ballistic current transport is presented to investigate the electrical characteristics of the coaxial nanowire field effect transistor (CNWFET). The potential distribution along the nanowire is derived analytically by applying Laplace equation. In addition to application of WKB approximation and ballistic transport, tunneling process and quantum state of energy are implemented to determine the amount of electron transport along the nanowire from the source to the drain terminals. To consider the tunneling phenomena, WKB approximation is used and the transmission coefficients on both sides of the channel are obtained separately. In ballistic regime, an expression for channel current in terms of the bias voltages and Schottky barrier height (SBH) is derived. The results confirm a close correlation between the current equation of this work and the results presented via other approaches.     

Ballistic electron transport in wrinkled superlattices

Inspired by the problem of elastic wave scattering on wrinkled interfaces, we studied the scattering of ballistic electrons on a wrinkled potential energy region. The electron transmission coefficient depends on both wrinkle amplitude and periodicity, having different behaviors for positive and negative scattering potential energies. For scattering on potential barriers, minibands appear in the electron transmission, as in superlattices, whereas for scattering on periodic potential wells the transmission coefficient has a more complex form. Besides suggesting that tuning of electron transmission is possible by modifying the scattering potential via voltages on wrinkled gate electrodes, our results emphasize the analogies between ballistic electrons and elastic waves even in scattering problems on non-typical configurations.     

Statistics of waves propagating in a random medium

We present a review of part of the results obtained by the authors for the statistics of coherent radiation propagating in a random medium both in the framework of diagrammatic techniques and random matrix theory. Distribution functions for the total transmission coefficient and the angular transmission coefficient for the diffusive transport and the crossover between the diffusive and ballistic regimes are obtained.The authors acknowledge the financial support of the Israeli Academy of Sciences and of the Schottenstein Center.     

Transport measurements across a tunable potential barrier in graphene

The peculiar nature of electron scattering in graphene is among many exciting theoretical predictions for the physical properties of this material. To investigate electron scattering properties in a graphene plane, we have created a gate-tunable potential barrier within a single-layer graphene sheet. We report measurements of electrical transport across this structure as the tunable barrier potential is swept through a range of heights. When the barrier is sufficiently strong to form a bipolar junction (n-p-n or p-n-p) within the graphene sheet, the resistance across the barrier sharply increases. We compare these results to predictions for both diffusive and ballistic transport, as the barrier rises on a length scale comparable to the mean free path. Finally, we show how a magnetic field modifies transport across the barrier.     

k//=0 filtering effects in ballistic electron transport through sub-surface GaAs–AlGaAs double barrier resonant tunneling structures

In ballistic electron emission microscopy on Au–GaAs double barrier resonant tunneling diodes, electrons are transferred across an interface between an area of high and low effective mass and subsequently through a low-dimensional state. Experimentally, the resonant level in the double barrier structure becomes evident as clear step in the ballistic current measured as a function of sample bias. To analyze the spectrum, an extended transfer matrix method, together with the commonly accepted Bell Kaiser model is used. In terms of this model we show that only electrons with zero wave vector parallel to the barriers can be transmitted resonantly.     

Stationary phase method and delay times for relativistic and non-relativistic tunneling particles

The stationary phase method is frequently adopted for calculating tunneling phase times of analytically-continuous Gaussian or infinite-bandwidth step pulses which collide with a potential barrier. This report deals with the basic concepts on deducing transit times for quantum scattering: the stationary phase method and its relation with delay times for relativistic and non-relativistic tunneling particles. After reexamining the above-barrier diffusion problem, we notice that the applicability of this method is constrained by several subtleties in deriving the phase time that describes the localization of scattered wave packets. Using a recently developed procedure - multiple wave packet decomposition - for some specifical colliding configurations, we demonstrate that the analytical difficulties arising when the stationary phase method is applied for obtaining phase (traversal) times are all overcome. In this case, we also investigate the general relation between phase times and dwell times for quantum tunneling/scattering. Considering a symmetrical collision of two identical wave packets with an one-dimensional barrier, we demonstrate that these two distinct transit time definitions are explicitly connected. The traversal times are obtained for a symmetrized (two identical bosons) and an antisymmetrized (two identical fermions) quantum colliding configuration. Multiple wave packet decomposition shows us that the phase time (group delay) describes the exact position of the scattered particles and, in addition to the exact relation with the dwell time, leads to correct conceptual understanding of both transit time definitions. At last, we extend the non-relativistic formalism to the solutions for the tunneling zone of a one-dimensional electrostatic potential in the relativistic (Dirac to Klein-Gordon) wave equation where the incoming wave packet exhibits the possibility of being almost totally transmitted through the potential barrier. The conditions for the occurrence of accelerated and, eventually, superluminal tunneling transmission probabilities are all quantified and the problematic superluminal interpretation based on the non-relativistic tunneling dynamics is revisited. Lessons concerning the dynamics of relativistic tunneling and the mathematical structure of its solutions suggest revealing insights into mathematically analogous condensed-matter experiments using electrostatic barriers in single- and bi-layer graphene, for which the accelerated tunneling effect deserves a more careful investigation.     

冷原子穿越激光束的量子隧穿时间

原子通过激光冷却技术能够被制备在低温状态，这时冷原子云会展现出量子力学的波动性.研究了一束冷原子入射到一个蓝失谐的激光束上所表现出的量子力学隧穿效应.蓝失谐的激光束相对于冷原子而言等效于一个量子力学势垒.根据二能级模型，在理论上分析了具有内部结构的原子矢量物质波穿过激光束的量子力学反射与透射，特别是对原子穿越激光束所需的时间——量子隧穿时间进行了详细的研究.量子力学波动性使得冷原子穿越一个激光束时明显地展现出与经典粒子(热原子)不同的结果. 关键词： 冷原子 原子光学 量子隧穿     

Salecker-Wigner-Peres clock and average tunneling times

The quantum clock of Salecker-Wigner-Peres is used, by performing a post-selection of the final state, to obtain average transmission and reflection times associated to the scattering of localized wave packets by static potentials in one dimension. The behavior of these average times is studied for a Gaussian wave packet, centered around a tunneling wave number, incident on a rectangular barrier and, in particular, on a double delta barrier potential. The regime of opaque barriers is investigated and the results show that the average transmission time does not saturate, showing no evidence of the Hartman effect (or its generalized version).