We investigate quantum dynamics and kinetics of a 2D conductor with a closed Fermi surface reconstructed by a biaxial density wave, in which electrons move along a two-dimensional periodic net of semiclassical trajectories coupled by the magnetic breakdown tunneling under a strong magnetic field. We derive a quasiparticle dispersion law and magnetoconductivity tensor. The quasiparticle spectrum is found to be the alternating series of two-dimensional magnetic energy bands with gaps between them. The longitudinal magnetoconductivity shows giant oscillations with change of magnetic field, while the Hall coefficient changes sign and is absent in a wide range of the magnetic fields in between. Preliminary estimations show that the suggested magnetoconductivity mechanism may be the origin of such behavior of the Hall coefficient versus magnetic field, as observed in experiments in materials with analogous topology of the Fermi surface, such as the high-$T_c$ superconducting cuprates.

中文翻译：

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由双轴密度波重建的具有封闭费米面的金属的磁导率

我们研究了具有由双轴密度波重建的封闭费米面的二维导体的量子动力学和动力学，其中电子沿着由强磁场下的磁击穿隧穿耦合的半经典轨迹的二维周期性网络移动。我们推导出准粒子色散定律和磁导率张量。准粒子谱被发现是二维磁能带的交替系列，它们之间有间隙。纵向磁导率随着磁场的变化表现出巨大的振荡，而霍尔系数改变符号并且在其间的大范围磁场中不存在。初步估计表明，所提出的磁导机制可能是霍尔系数与磁场这种行为的起源，${吨}_C$ 超导铜酸盐。