Systematic strong-coupling expansion of the T ⊗ t Jahn–Teller system
Systematic strong-coupling expansion of the T ⊗ t Jahn–Teller system
复制标题
T ⊗ t Jahn-Teller 系统的系统强耦合扩展
DOI：
10.1088/0953-8984/17/29/012
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发表时间：
2005
期刊：
影响因子：
--
通讯作者：
H. Barentzen
中科院分区：
文献类型：
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作者：
H. Barentzen
本文描述了强耦合问题的一种解析方法，它允许哈密顿量以耦合参数K的反幂系统地展开。该方法依赖于构造一种新的振动基，使得希尔伯特空间衰变成两个正交子空间，并且对于强耦合，中的低位态与中的所有态之间以大的能隙分开。这构成了构造在投影算子上定义并通过投影算子生成的有效哈密顿量H1的基础。H1的形式是K−1的幂递增无穷级数的形式，它在O(K−2)的项之后终止。H1的本征值包含了Moffitt和Thorson已经发现的那些，包括t2g振动的正确分裂。
An analytic approach to the strongly coupled problem is described, which allows a systematic expansion of the Hamiltonian in inverse powers of the coupling parameter K. The approach rests on the construction of a novel vibronic basis causing the Hilbert space to decay into two orthogonal subspaces and such that, for strong coupling, the low-lying states in are separated from all states in by a large energy gap. This constitutes the basis for the construction of an effective Hamiltonian H1 defined on and generated by means of projection operators. The form of H1 is that of an infinite series in increasing powers of K−1, which is terminated after the terms of O (K−2). The eigenvalues of H1 incorporate those already found by Moffitt and Thorson, including the correct splitting of the t2g vibrations.
RTiO3 中的 G 型反铁磁性和轨道有序性
DOI：
--
发表时间：
2004
期刊：
Journal of the Physical Society of Japan 73
影响因子：
--
作者：
望月維人;今田正俊
通讯作者：
今田正俊