Modification of Landau Levels in a 2D Ring Due to Rotation Effects and Edge States

The properties of a 2D quantum ring under rotating and external magnetic field effects are investigated. The Landau levels and their inertial effects on them are initially analyzed. Among the results obtained, it is emphasized that the rotation lifted the degeneracy of Landau levels. The second part deals with the electronic confinement in a 2D ring modeled by a hard wall potential. The eigenstates are described by Landau states as long as they are not too close to the ring edges. On the other hand, near the ring edges, the energies increase monotonically. These states are known as edge states. Edge states have a significant role in the physical properties of the ring. Thus, the Fermi energy and magnetization are analyzed. In the specific case of magnetization, two approaches are considered. In the first approach, an analytical result for magnetization is obtained but without considering rotation. Numerical results show the de Haas-Van Alphen (dHvA) oscillations. In the second approach, rotating effects are considered. In addition to the dHvA oscillations, the Aharonov–Bohm-type (AB) oscillations are verified, which are associated with the presence of edge states. The effects of rotation on the results are discussed and it is found that rotation is responsible for inducing AB oscillations.     

非化学计量组成Ba1.03Ce0.5Zr0.4La0.1O3－α的化学稳定性和离子导电性

用高温固相反应法合成了非化学计量组成的Ba_1.03Ce_0.5Zr_0.4La_0.1O_{3－α质子导体. 粉末X射线衍射(XRD)结果表明, 该材料为单一钙钛矿型BaCeO3斜方晶结构, 在高温下、CO2或水蒸气气氛中具有较高的稳定性. 扫描电子显微镜(SEM)观察分析表明, 材料经1550 ℃烧结20 h非常致密. 在500～900 ℃温度范围内, 用交流阻抗谱技术测定了材料在湿润氢气和湿润空气气氛中的电导率; 用气体浓差电池方法测定了材料在湿润氢气、湿润空气气氛中和氢-空气燃料电池条件下的离子迁移数, 研究了材料的离子导电特性, 并与化学计量组成的BaCe0.5Zr0.4La0.1O3－α材料进行了比较. 结果表明, 在500～900 ℃温度范围内、湿润氢气气氛中, Ba1.03Ce0.5Zr0.4La0.1O3－α材料的质子迁移数为1, 是一个纯质子导体. 在湿润空气气氛中, 材料的氧离子迁移数为0.688～0.170, 质子迁移数为0.218～0.017, 是一个氧离子、质子和电子空穴的混合导体. 在氢-空气燃料电池条件下, 材料的离子(氧离子＋质子)迁移数为0.990～0.796, 是一个氧离子、质子和电子的混合导体. 与化学计量组成的BaCe0.5Zr0.4La0.1O3－α材料相比较, 在相同实验条件下非化学计量组成的Ba1.03Ce0.5Zr0.4La0.1O3－α材料具有较高的电导率和离子迁移数.}     

Control of Aharonov–Bohm oscillations in a AlGaAs/GaAs ring by asymmetric and symmetric gate biasing

The control of the Aharonov–Bohm effect on a AlGaAs/GaAs ring structure is studied by employing two in-plane-gates. By applying a gate voltage to one of the gates, a change of the oscillation pattern due to the additional potential induced in one branch of the ring is observed. The change of the oscillation frequency as well as the phase is attributed to the multi-channel transport. In case of a symmetric biasing, where both gates are biased simultaneously, a larger voltage is required to change the oscillation pattern than for the case when only one gate is used. This effect is explained by a partial compensation of the phase difference between both branches of the ring.     

Neutral and positively charged excitons in quantum ring

We study theoretically quantized states of the neutral and positively charged exciton complexes confined within a circular narrow ring in the presence of the magnetic field applied along the symmetry axis. We show that in the structural adiabatic limit, when the width of the pattern of the particles pathways within the ring is much smaller than its radius, the wave equations for both complexes are separable and their exact solutions can be found in a form of the Fourier series of one and two variables, respectively. We present results of calculation of the lower energies of complexes as functions of the ring's radius and the magnetic field strength for different values of the electron-to-hole mass ratio. We found that in the molecular adiabatic limit, when this ratio tends to zero and the model describes the corresponding donor complexes, the physical interpretation of the quantum-size effect and the oscillations of energy levels in threading magnetic field revealed for the excitons spectra becomes more transparent.     

Jahn－Teller变形后C60－的结构和电子光谱

用INDO系列方法对C₆₀^－进行几何构型优化,得到D_3d对称性的构型,表明C₆₀^－确实发生了Jahn-Teller畸变,导致单键变短,双键变长,形成10种键,6种不等同碳原子,并以此构型为基础,计算了C₆₀^－的电子光谱,与实验结果吻合;同时对光谱进行了理论指认;最后对C₆₀^－的3种构型：D_5d,D_3d,D_2h的几何构型、能量、光谱和反应特性进行了分析、比较和总结。     

In Appreciation

Leslie Foldy’s diminutive stature and modest demeanor gave little clue to the powerful intellect responsible for several significant advances in theoretical physics.Two were particularly important. His 1945 theory of the multiple scattering of waves laid out the fundamentals that most modern theories have followed (and sometimes rediscovered), while his work with Siegfried Wouthuysen on the nonrelativistic limit of the Dirac equation opened the way to a wealth of valuable insights. In this article we recall some of the milestones along Foldy’s path through a life in physics. Some of the anecdotes we report here were related to one of the authors (PLT) just before an event in 2000 celebrating Foldy’s 80th birthday, while others were told to us over the course of the nearly forty years during which we were colleagues. Still others were uncovered during the course of WJF’s research for his book, Physics at a Research University: Case Western Reserve 1830–1990 (Cleveland: Case Western Reserve University, 2006). Other details were provided by Foldy’s widow, Roma. Philip L. Taylor is the Perkins Professor of Physics and Professor of Macromolecular Science and Engineering at Case Western Reserve University. William J. Fickinger is Professor Emeritus of Physics at Case Western Reserve University.     

Solving the Measurement Problem: De Broglie--Bohm Loses Out to Everett

The quantum theory of de Broglie and Bohm solves the measurement problem, but the hypothetical corpuscles play no role in the argument. The solution finds a more natural home in the Everett interpretation.     

Niels Bohr’s Generalization of Classical Mechanics

We clarify Bohrs interpretation of quantum mechanics by demonstrating the central role played by his thesis that quantum theory is a rational generalization of classical mechanics. This thesis is essential for an adequate understanding of his insistence on the indispensability of classical concepts, his account of how the quantum formalism gets its meaning, and his belief that hidden variable interpretations are impossible.     

The virial theorem in refined Thomas－Fermi－Dirac theory for the interior of atoms in a solid

The virial theorem in refined Thomas－Fermi－Dirac theory for the interior of atoms in a solid is given and proven.     

The charge storage of the nc—Si layer

Sandwiched structures (a-SiN_x/a-Si/a-SiN_x) have been fabricated by the plasma enhanced chemical vapour deposition technique. A Si nanocrystal (nc-Si) layer was formed by crystallization of an a-Si layer according to the constrained crystallization principle after quasi-static thermal annealing at 1100℃ for 30 min. Transmission electron microscopy (TEM) and Raman scattering spectroscopy clearly demonstrated that nc-Si grains were formed in the as-deposited a-Si layer after annealing. The density of nc-Si grains is about 10¹¹cm^-2 as shown by TEM photographs. Using capacitance－voltage (C－V) measurements we investigated the electrical characteristics of the sandwiched structures. The charge storage phenomenon of the nc-Si layer was observed from the shift of flat-band voltage (V_FB) in C－V curves at a high frequency (1 MHz). We estimated the density of nc-Si grains to be about 10¹¹cm^-2 from the shift value of V_FB, which is in agreement with the result of TEM photographs. At the same time, we found that the shift of V_FB increased with the increase of the applied constant dc voltage or the thickness of the nc-Si layer.