MAGNETIC BREAKDOWN IN CRYSTALS
MAGNETIC BREAKDOWN IN CRYSTALS
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DOI：
10.1103/physrevlett.7.231
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发表时间：
1961-01-01
影响因子：
8.6
通讯作者：
FALICOV, LM
中科院分区：
文献类型：
--
作者：
COHEN, MH;FALICOV, LM
为了建立电子在磁场中的各种行为机制，回旋加速器频率~~通常与7′，I′kt或I′eg进行比较，其中7是典型的弛豫时间，E~是费米能量。本文没有讨论vz与~~ F&的比较，其中8&是相关能带结构的能隙，除了注意到当I~~-Eg时，磁场中电子运动的有效哈密顿量的通常推导不再有效。没有注意到当S~ z超过Eg时实际发生了什么，这是本信的主题。由于磁场导致的能级分裂是每高斯10 ev的数量级，而普通能带结构中的间隙很少小到0。1 ev。如果不是因为存在10数量级的小差距，我们的问题可能是学术性的
To establish the various regimes ofbehavior of electrons in a magnetic field, the cyclotron fre-quency~~ is usually compared with 7', I'kT, or I'Eg, where 7 is a typical relaxation time and E~ the Fermi energy. Comparison of vz with~~ F&, where 8& is an energy gap of the pertinent band structure, has not been discussed except to note that theusual derivations of an ef-fective Hamiltonian~ for the motion of electrons in a magnetic field is no longer valid when I~~-Eg. No attention has been directed to the ques-tion of what actually happens when S~ z exceeds Eg, that is the subject of the present Letter. The splitting of the energy levels due to magnetic fields is ofthe order of 10 ev per gauss, whereas gaps in ordinary band structures are rarely as small as 0. 1 ev. Our question mould be academic were it not for the existence of small gaps of the order 10