arXiv 1908.033002019-08-09quant-phcond-mat.str-el

一维光晶格中绝缘自旋轨道耦合玻色原子的磁相变

Magnetic phase transitions of insulating spin-orbit coupled Bose atoms in one-dimensional optical lattices

Li Zhang, Yongguan Ke, Chaohong Lee

发表信息：: Phys. Rev. B 100, 224420 (2019)
DOI：: 10.1103/PhysRevB.100.224420

摘要：

本文研究了一维光晶格中自旋-轨道耦合玻色原子的基态磁相变。在强相互作用下，原子的电荷度被冻结，系统可以用具有Dzyaloshinskii-Moriya相互作用和横场的各向异性XXZ海森堡链来描述.我们采用矩阵积态方法得到了低能态，并分析了最低能隙和基态磁化强度及相关性。我们发现，当无横场时，如果自旋间s波相互作用强度大于自旋内s波相互作用强度，则基态为z方向具有长程关联的带隙铁磁相，否则为具有代数衰减关联的无带隙Luttinger液体（LL）相.当横向场打开时，无带隙的LL相被打破，出现铁磁、反铁磁或螺旋序的长程关联相，其大小取决于DM相互作用的强度。我们相信，我们的研究提供了一个完整的理解SOC和自旋原子的量子磁性之间的相互作用在光晶格。

英文摘要：

We consider the insulating spin-orbit coupled Bose atoms confined within one-dimensional optical lattices and explore their ground-state magnetic phase transitions. Under strong interactions, the charge degrees of atoms are frozen and the system can be described by an anisotropic XXZ Heisenberg chain with Dzyaloshinskii-Moriya interaction and transverse field. We apply the matrix product state method to obtain low-energy states and analyze the lowest energy gaps and the ground-state magnetization and correlations. We find when the transverse field is absent, the ground state is a gapped ferromagnetic phase with long-range correlation in the z direction if the interspin s-wave interacting strength is stronger than that of the intraspin one, otherwise it is a gapless Luttinger liquid (LL) phase with algebraic decaying correlation. When the transverse field is turned on, the gapless LL phase is broken, there emerges a long-range correlated phase with ferromagnetic, antiferromagnetic or spiral order, which depends on the DM interaction strength. We believe our study provides a complete understanding of the interplay between SOC and quantum magnetism of spinor atoms in optical lattices.

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英文摘要：

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