横向场中一维扩展量子罗盘模型的量子相变
Quantum Phase Transition in the One-Dimensional Extended Quantum Compass Model in a Transverse Field
摘要：
利用Jordan-Wigner变换研究了横向场中一维扩展量子Compass模型的量子相变。除了在临界表面处能隙消失之外，该模型总是有隙的。我们得到了驱动量子相变的所有临界场的解析表达式。该模型显示了一个丰富的相图，除了自旋$y$分量在奇键上具有反平行有序的相外，还包括自旋翻转相、条带反铁磁相和饱和铁磁相。然而，我们研究的普遍性和标度性质的横向磁化率和最近邻关联函数衍生物在不同的区域，以确认所获得的结果使用能隙分析。
英文摘要：
Quantum phase transitions in the one-dimensional extended quantum compass model in transverse field are studied by using the Jordan-Wigner transformation. This model is always gapful except at the critical surfaces where the energy gap disappears. We obtain the analytic expressions of all critical fields which drive quantum phase transitions. This model shows a rich phase diagram which includes spin-flop, strip antiferromagnetic and saturate ferromagnetic phases in addition to the phase with anti parallel ordering of spin $y$ component on odd bonds. However we study the universality and scaling properties of the transverse susceptibility and nearest-neighbor correlation functions derivatives in different regions to confirm the results obtained using the energy gap analysis.
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