Theory for Magnetic-Field-Driven 3D Metal-Insulator Transitions in the Quantum Limit,Physical Review Letters

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Theory for Magnetic-Field-Driven 3D Metal-Insulator Transitions in the Quantum Limit
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-07-23 , DOI: 10.1103/physrevlett.127.046602
Peng-Lu Zhao ₁ , Hai-Zhou Lu _{1,

2} , X C Xie _{3,

4,

5}

Affiliation

Metal-insulator transitions driven by magnetic fields have been extensively studied in 2D, but a 3D theory is still lacking. Motivated by recent experiments, we develop a scaling theory for the metal-insulator transitions in the strong-magnetic-field quantum limit of a 3D system. By using a renormalization-group calculation to treat electron-electron interactions, electron-phonon interactions, and disorder on the same footing, we obtain the critical exponent that characterizes the scaling relations of the resistivity to temperature and magnetic field. By comparing the critical exponent with those in a recent experiment [F. Tang et al., Nature (London) 569, 537 (2019)], we conclude that the insulating ground state was not only a charge-density wave driven by electron-phonon interactions but also coexisting with strong electron-electron interactions and backscattering disorder. We also propose a current-scaling experiment for further verification. Our theory will be helpful for exploring the emergent territory of 3D metal-insulator transitions under strong magnetic fields.

中文翻译：

量子极限中磁场驱动的 3D 金属-绝缘体跃迁理论

由磁场驱动的金属-绝缘体转变已在 2D 中得到广泛研究，但仍然缺乏 3D 理论。受最近实验的启发，我们为 3D 系统的强磁场量子极限中的金属-绝缘体跃迁开发了一种缩放理论。通过使用重整化群计算在同一基础上处理电子-电子相互作用、电子-声子相互作用和无序，我们获得了表征电阻率与温度和磁场的标度关系的临界指数。通过将临界指数与最近的实验中的指数进行比较 [F. 唐等人。,自然 (伦敦) 569, 537 (2019)]，我们得出结论，绝缘基态不仅是由电子-声子相互作用驱动的电荷密度波，而且还与强电子-电子相互作用和背向散射无序共存。我们还提出了一个电流缩放实验来进一步验证。我们的理论将有助于探索强磁场下 3D 金属-绝缘体转变的新兴领域。

更新日期：2021-07-23

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