标题： 多轨道共伴随轨道玻色化中的贝里相位和量子振荡 显示英文标题

标题： Berry Phase and Quantum Oscillation from Multi-orbital Coadjoint-orbit Bosonization

摘要： 我们使用高维玻色化中的伴随轨道方法，为多轨道费米子系统开发了一种有效场论。 动态玻色场是定义在相空间上的单粒子分布函数。 我们表明，当投影到单个能带时，贝里相位效应自然出现。 特别是，我们考虑二维费米面的德哈斯-范阿尔芬效应，并表明在外场中轨道磁化的振荡被回旋子绕费米面积累的贝里相位所抵消。 除了已知的结果外，我们还表明，这种相位偏移甚至在相互作用系统中也成立，在这种情况下，单粒子贝里相位被静态反常霍尔电导取代。 此外，我们得到了由于贝里曲率效应导致的德哈斯-范阿尔芬振荡幅度的修正。 显示英文摘要

摘要： We develop an effective field theory for a multi-orbital fermionic system using the method of coadjoint orbits for higher-dimensional bosonization. The dynamical bosonic fields are single-particle distribution functions defined on the phase space. We show that when projecting to a single band, Berry phase effects naturally emerge. In particular, we consider the de Haas-van Alphen effect of a 2d Fermi surface, and show that the oscillation of orbital magnetization in an external field is offset by the Berry phase accumulated by the cyclotron around the Fermi surface. Beyond previously known results, we show that this phase shift holds even for interacting systems, in which the single-particle Berry phase is replaced by the static anomalous Hall conductance. Furthermore, we obtain the correction to the amplitudes of de Haas-van Alphen oscillations due to Berry curvature effects.