Dielectric catastrophe at the Mott transition
Dielectric catastrophe at the Mott transition
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DOI：
10.1103/physrevlett.86.468
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发表时间：
2001-01-15
影响因子：
8.6
通讯作者：
Noack, RM
中科院分区：
文献类型：
--
作者：
Aebischer, C;Baeriswyl, D;Noack, RM
利用密度矩阵重整化群计算了半填充Hubbard链对外加电场的响应，研究了下近邻跳变t'的Mott跃迁作为相互作用强度的函数。当从绝缘侧接近临界点时，磁化率曲线发生发散。我们证明表征这种跃迁的相关长度xi与极化的波动成正比，并且X与xi(2)相似。临界行为表明，无论是否存在自旋间隙，跃迁对所有t'都是无限阶的，并且超尺度化是成立的。
We study the Mott transition as a function of interaction strength in the half-filled Hubbard chain with next-nearest-neighbor hopping t' by calculating the response to an external electric field using the density matrix renormalization group. The electric susceptibility chi diverges when approaching the critical point from the insulating side. We show that the correlation length xi characterizing this transition is directly proportional to fluctuations ol the polarization and that X similar to xi (2). The critical behavior shows that the transition is infinite order for all t', whether or not a spin gap is present, and that hyperscaling holds.