Magnetically stabilized nematic order. II. Critical states and algebraically ordered nematic spin liquids in one-dimensional optical lattices
Magnetically stabilized nematic order. II. Critical states and algebraically ordered nematic spin liquids in one-dimensional optical lattices
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磁稳定向列序。
DOI：
10.1103/physrevb.72.014422
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发表时间：
2005
影响因子：
3.7
通讯作者：
F. Zhou
中科院分区：
文献类型：
--
作者：
H. Zhai;F. Zhou
研究了一维光晶格中自旋为1的玻色子的单重态自旋液体与代数有序O（2）重态自旋液体之间的塞曼场驱动的量子相变。我们发现，在高维晶格中，临界行为的特征是硬核玻色子的凝聚，而不是理想的磁振子。临界指数被硬核相互作用强重整化，临界态等价于自由费米子模型直到Friedel振荡。我们还发现，代数有序的双自旋液体接近临界点的Luttinger液体动力学与Luttinger液体参数磁性可调的充分特点。用Bethe的近似解确定了临界磁化强度和临界磁化强度关联。
We investigate the Zeeman-field-driven quantum phase transitions between singlet spin liquids and algebraically ordered O(2) nematic spin liquids of spin-one bosons in one-dimensional optical lattices. We find that the critical behavior is characterized by condensation of hardcore bosons instead of ideal magnons in high-dimensional lattices. Critical exponents are strongly renormalized by hardcore interactions and critical states are equivalent to the free Fermion model up to the Friedel oscillations. We also find that the algebraically ordered nematic spin liquids close to critical points are fully characterized by the Luttinger-liquid dynamics with Luttinger-liquid parameters magnetically tunable. The Bethe ansatz solution has been applied to determine the critical magnetization and nematic correlations.