This paper focuses on the ground state phase diagram of a 1D spin‐1/2 quantum Ising model with competing first and second nearest neighbour interactions known as the axial next nearest neighbour Ising model in the presence of a transverse magnetic field. Here, using quantum correlations, both numerically and analytically, some evidence is provided to clarify the identification of the ground state phase diagram. Local quantum correlations play a crucial role in detecting the critical lines either revealed or hidden by symmetry‐breaking. A non‐symmetry‐breaking disorder transition line can be identified by the first derivative of both entanglement of formation and quantum discord between nearest neighbour spins. In addition, the quantum correlations between the second neighbour spins can also be used to reveal Kosterlitz–Thouless phase transition when their interaction strength grows and becomes closer to the first nearest neighbour one. The results obtained using the Jordan–Wigner transformation confirm the accuracy of the numerical case.

中文翻译：

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自旋1/2挫折横向场伊辛链的基态相图中的量子临界线

本文重点研究一维自旋1/2量子伊辛模型的基态相位图，该模型具有竞争的第一和第二近邻相互作用，即在存在横向磁场的情况下称为轴向次近邻伊辛模型。在这里，使用量子相关性，无论是在数值上还是在分析上，都提供了一些证据来澄清对基态相图的识别。局部量子相关性在检测由对称破坏揭示或隐藏的临界线中起着至关重要的作用。可以通过形成纠缠和最近邻自旋之间的量子不平衡的一阶导数来识别非对称破坏的无序过渡线。此外，第二个相邻自旋之间的量子相关性还可以用于揭示当它们的相互作用强度增大并变得更接近第一个最近的相邻自旋时的Kosterlitz-Thouless相变。使用Jordan-Wigner变换获得的结果证实了数值计算的准确性。