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引用次数: 0
摘要
在能量低于 2 eV 时，石墨烯薄片中电子的色散定律呈现出能量与动量的线性关系，这是光子的典型特征，因此可以通过狄拉克方程将电子描述为无质量粒子，并对受力作用的无质量粒子进行研究。我们分析求解了电子在磁场穿透的半径为 10,000 原子单位的石墨烯圆盘中的狄拉克方程，并找到了粒子自旋向上和向下的特征能和特征态。磁场的范围在三个数量级之内，并发现磁场将电子限制在圆盘中。具有相对较大总角动量的状态是存在的，可以在涡旋条件下考虑；这些状态在距离磁盘中心不同的距离处达到峰值，可以用来存储少量信息。
At energy lower than 2 eV, the dispersion law of the electrons in a graphene sheet presents a linear dependence of the energy on the kinetic momentum, which is typical of photons and permits the description of the electrons as massless particles by means of the Dirac equation and the study of massless particles acted upon by forces. We analytically solve the Dirac equation of an electron in a graphene disk with radius of 10,000 atomic units pierced by a magnetic field and find the eigenenergies and eigenstates of the particles for spin up and down. The magnetic field ranges within three orders of magnitude and is found to confine the electron in the disk. States with a relatively large total angular momentum exist and can be considered in a vorticose condition; these states are seen to peak at different distances from the disk centre and can be used to store few bit of information.
期刊介绍：
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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