弱变磁场中Dirac型交叉附近的谱分析
Spectral analysis near a Dirac type crossing in a weak non-constant magnetic field
摘要：
这是我们研究弱磁场情况下Peierls代换的三篇系列论文中的最后一篇。在这里，我们处理两个$2d$布洛赫特征值有一个圆锥交叉。事实证明，在存在几乎恒定的弱磁场的情况下，交叉点附近的光谱会产生间隙，这让人想起有效的无质量磁狄拉克算子的朗道能级。
英文摘要：
This is the last paper in a series of three in which we have studied the Peierls substitution in the case of a weak magnetic field. Here we deal with two $2d$ Bloch eigenvalues which have a conical crossing. It turns out that in the presence of an almost constant weak magnetic field, the spectrum near the crossing develops gaps which remind of the Landau levels of an effective mass-less magnetic Dirac operator.
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。
