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arXiv 1109.6464cond-mat.str-elcond-mat.mtrl-scicond-mat.stat-mech
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量子自旋双态的动力学自旋结构因子

Dynamical spin structure factors of quantum spin nematic states

Ryuichi Shindou, Seiji Yunoki, Tsutomu Momoi

摘要:

在具有铁磁J1和反铁磁J2相互作用的自旋1/2正方晶格J1-J2模型中,计算了量子自旋π态的动力学自旋结构因子。为此,我们使用费米子表示,将其推广到N口味。我们从费米子场的自旋-三重态配对态开始,称之为Z2平面态,它是在有限参数范围内的大N极限下的稳定鞍点解,其中耦合J1和J2强烈竞争[R. Shindou和T. Momoi,Phys.Rev.B80,064410(2009)]。使用大N展开,我们考虑到这个鞍点附近的波动,直到1/N阶的校正。由此获得的动力学自旋结构因子表明存在q=(0,0)处的无隙q线性导向波(自旋波)模和q=(pi,pi)处的有隙“规范场”样集体模,它们的谱权分别作为动量的线性函数和二次函数消失。低能集体模式包含向列指向矢、自旋和规范自由度的涨落。结合无带隙q-线性模,我们计算了低温区核自旋弛豫速率1/T1的温度依赖关系为1/T1 \propto T^{2d-1},其中d是有效空间维数.

英文摘要:

Dynamical spin structure factors of quantum spin nematic states are calculated in a spin-1/2 square-lattice J1-J2 model with ferromagnetic J1 and competing antiferromagnetic J2 interactions. To this end, we use a fermion representation, generalizing it to N flavors. We begin with a spin-triplet pairing state of fermion fields, called Z2 planar state, which is a stable saddle-point solution in the large-N limit in a finite parameter range where the couplings J1 and J2 compete strongly [R. Shindou and T. Momoi, Phys. Rev. B 80, 064410 (2009)]. Using a large-N expansion, we take into account fluctuations around this saddle point up to corrections of order 1/N. The dynamical spin structure factors thus obtained signify the existence of gapless q-linear director-wave (spin-wave) modes at q=(0,0) and gapped `gauge-field' like collective modes at q=(pi,pi), whose spectral weight vanishes as a linear and quadratic function of the momentum respectively. The low-energy collective modes contain fluctuations of nematic-director, spin, and gauge degrees of freedom. Associated with the gapless q-linear modes, we evaluate the temperature dependence of the nuclear spin relaxation rate 1/T1 in the low-temperature regime as 1/T1 \propto T^{2d-1}, where d is the effective spatial dimension.

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