arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1708.09387cond-mat.mes-hall
收藏

现代磁击穿理论

Modern theory of magnetic breakdown

A. Alexandradinata, Leonid Glazman

摘要:

磁场中布洛赫电子的现代半经典理论包括轨道磁化和几何相位。在这个半经典理论之外,还存在着场诱导的半经典轨道之间的隧穿的量子描述,称为磁击穿。在这里,我们综合了现代半经典的概念与量子隧穿-到一个单一的玻尔-索末菲量子化规则,是预测磁能级。这个规则适用于许多具有\emph{unremovable}几何相位的拓扑固体,它们也经历了\emph{unavoidably}的分解。一个概念的拓扑不变量制定的非微扰编码隧道,是可测量的de-Haas-van-Alphen效应。案例研究讨论了拓扑金属附近的金属-绝缘体过渡和过度倾斜外尔费米子。

英文摘要:

The modern semiclassical theory of a Bloch electron in a magnetic field encompasses the orbital magnetization and geometric phase. Beyond this semiclassical theory lies the quantum description of field-induced tunneling between semiclassical orbits, known as magnetic breakdown. Here, we synthesize the modern semiclassical notions with quantum tunneling -- into a single Bohr-Sommerfeld quantization rule that is predictive of magnetic energy levels. This rule is applicable to a host of topological solids with \emph{unremovable} geometric phase, that also \emph{unavoidably} undergo breakdown. A notion of topological invariants is formulated that nonperturbatively encode tunneling, and is measurable in the de-Haas-van-Alphen effect. Case studies are discussed for topological metals near a metal-insulator transition and over-tilted Weyl fermions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑