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arXiv 0705.1918cond-mat.str-el
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掺杂反铁磁体微观模型的大量CP $^1$理论

Massive CP$^1$ theory from a microscopic model for doped antiferromagnets

J. Falb, A. Muramatsu

摘要:

二维t-J模型的路径积分是基于狄拉克量子化构造的,具有最初由Wiegmann(Phys. Rev. Lett. { \bf 60},821(1988); Nucl.Phys.B323,311(1989))。集中在低掺杂的限制,我们假设短程反铁磁序的自旋自由度。转到掺杂剂费米子的遵循自旋自由度的局部自旋量子化轴,产生交错的CP $^1$场,并且可以解决针对双占据的约束。交错的CP $^1$场被分成慢模和快模,使得在梯度展开之后,并且在积分出快模和掺杂剂费米子之后,获得具有大质量规范场的CP $^1$场论,其描述一般不相称的共面磁结构,如先前在受抑量子反铁磁体的上下文中所讨论的。因此,通过掺杂共线反铁磁体打开了解除自旋束缚的可能性。

英文摘要:

A path-integral for the t-J model in two dimensions is constructed based on Dirac quantization, with an action found originally by Wiegmann (Phys. Rev. Lett. {\bf 60}, 821 (1988); Nucl. Phys. B323, 311 (1989)). Concentrating on the low doping limit, we assume short range antiferromagnetic order of the spin degrees of freedom. Going over to a local spin quantization axis of the dopant fermions, that follows the spin degree of freedom, staggered CP$^1$ fields result and the constraint against double occupancy can be resolved. The staggered CP$^1$ fields are split into slow and fast modes, such that after a gradient expansion, and after integrating out the fast modes and the dopant fermions, a CP$^1$ field-theory with a massive gauge field is obtained that describes generically incommensurate coplanar magnetic structures, as discussed previously in the context of frustrated quantum antiferromagnets. Hence, the possibility of deconfined spinons is opened by doping a colinear antiferromagnet.

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