近饱和自旋链中的任意离子液体
Anyonic Liquids in Nearly Saturated Spin Chains
摘要：
大多数类海森堡自旋链会流向一个靠近磁场感应饱和点的普适自由费米子不动点。在这里，我们表明，一个异国情调的不动点，其特征在于两个物种的低能量激发与互任意统计，也可能出现在这样的自旋链，如果色散关系有两个最小值。通过玻色化、双磁振子精确计算和数值密度矩阵重整化群，我们证明了在第二近邻相互作用下XXZ自旋链中存在这种非离子液体不动点.我们还确定了一系列的微观参数，支持这一阶段。
英文摘要：
Most Heisenberg-like spin chains flow to a universal free-fermion fixed point near the magnetic-field induced saturation point. Here we show that an exotic fixed point, characterized by two species of low-energy excitations with mutual anyonic statistics, may also emerge in such spin chains if the dispersion relation has two minima. By using bosonization, two-magnon exact calculations, and numerical density-matrix-renormalization-group, we demonstrate the existence of this anyonic-liquid fixed point in an XXZ spin chain with up to second neighbor interactions. We also identify a range of microscopic parameters, which support this phase.
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