Explicit Solutions of the Bethe Ansatz Equations for Bloch Electrons in a Magnetic Field
Explicit Solutions of the Bethe Ansatz Equations for Bloch Electrons in a Magnetic Field
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磁场中布洛赫电子 Bethe Ansatz 方程的显式解
DOI：
10.1103/physrevlett.73.1134
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发表时间：
1994
影响因子：
8.6
通讯作者：
Yong
中科院分区：
文献类型：
--
作者：
Yasuhiro Hatsugai;M. Kohmoto;Yong
对于磁场中的Bloch电子，给出了Wiegmann和Zabrodin最近提出的Bethe ansatz方程在谱中心的显式解。当每块斑块的磁通为1/q，其中q为奇数时，根在复平面内的单位圆上分布均匀。对于半经典极限Q→∞，波函数=−˜˜
For Bloch electrons in a magnetic field, explicit solutions are obtained at the center of the spectrum for the Bethe ansatz equations recently proposed by Wiegmann and Zabrodin. When the magnetic flux per plaquette is 1/Q where Q is an odd integer, distribution of the roots is uniform on the unit circle in the complex plane. For the semi-classical limit, Q → ∞, the wavefunction = − ˜ ˜