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arXiv 2402.07590cond-mat.mes-hall
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含三自旋项的XY模型的磁相:拓扑与纠缠的相互作用

Magnetic phases of XY model with three-spin terms: interplay of topology and entanglement

Rakesh Kumar Malakar, Asim Kumar Ghosh

AI总结:

该研究针对含横向磁场与三自旋相互作用的自旋1/2反铁磁XY模型,结合Jordan-Wigner变换分析其磁序与拓扑序,绘制相图并证实磁相与拓扑超导相可在全参数区间共存。

摘要:

研究了存在横向磁场和XZX−YZY型三自旋相互作用时,反铁磁自旋1/2 XY模型的磁性质、拓扑性质以及基于多种纠缠度量的量子关联,明确了自旋哈密顿量的对称性。通过Jordan-Wigner变换,该自旋哈密顿量被转化为含最近邻跃迁、库珀配对项以及次近邻库珀配对势的无自旋超导模型。研究借助交错自旋-自旋关联函数分析长程反铁磁序,通过缠绕数表征拓扑序,绘制了磁相图和拓扑相图,发现在整个参数区间内磁相和拓扑超导相可稳定共存,还标记了各量子相的边界并确定了双临界点的位置。

英文摘要:

Magnetic and topological properties along with quantum correlations in terms of several entanglement measures have been investigated for an antiferromagnetic spin-1/2 XY model in the presence of transverse magnetic field and XZX$-$YZY type of three-spin interactions. Symmetries of the spin Hamiltonian have been identified. Under the Jordan-Wigner transformation, the spin Hamiltonian converted into spinless superconducting model with nearest neighbor hopping and Cooper pairing terms in addition to next nearest neighbor Cooper pairing potential. Long range antiferromagnetic order has been studied in terms of staggered spin-spin correlation functions, while the topological orders have been characterized by winding numbers. Magnetic and topological phase diagrams have been prepared. Faithful coexistence of magnetic and topological superconducting phases is found in the entire parameter regime. Boundaries of various quantum phases have been marked and positions of bicritical points have been identified.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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