标题： Berry相位与多轨道共轭轨道玻色化中的量子振荡 显示英文标题

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

摘要： 我们利用伴随轨道方法，为多轨道费米系统发展出一个有效的场论。 动态的玻色场被定义为相空间上的单粒子分布函数。 我们证明了当投影到单一能带时，Berry曲率效应自然出现。 特别是，我们考虑二维费米面的de Haas-van Alphen效应，并表明外部场中轨道磁化强度的振荡被由Fermi表面周围的回旋运动积累的Berry相位抵消。 除了已知的结果之外，我们还表明这种相移即使对于相互作用系统也成立，在相互作用系统中，单粒子Berry相位被静态异常霍尔电导率取代。 此外，我们得到了由于Berry曲率效应引起的de Haas-van Alphen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 curvature 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.