School of Physics, Nankai University, Tianjin 300071, China.
College of Physics and Materials Science, Tianjin Normal University, Tianjin 300387, China.
Sci Rep. 2016 Dec 22;6:39416. doi: 10.1038/srep39416.
A quantum phase transition (QPT), including both topological and symmetry breaking types, is usually induced by the change of global parameters, such as external fields or global coupling constants. In this work, we demonstrate the existence of QPT induced by the real-space topology of the system. We investigate the groundstate properties of the tight-binding model on a honeycomb lattice with the torus geometry based on exact results. It is shown that the ground state experiences a second-order QPT, exhibiting the scaling behavior, when the torus switches to a tube, which reveals the connection between quantum phase and the real-space topology of the system.
量子相变（QPT），包括拓扑和对称破缺两种类型，通常是由全局参数的变化引起的，例如外场或全局耦合常数。在这项工作中，我们证明了由系统的实空间拓扑引起的 QPT 的存在。我们基于精确结果研究了具有环面几何形状的蜂窝晶格上紧束缚模型的基态性质。结果表明，当环面转变为管时，基态经历了二阶 QPT，表现出标度行为，这揭示了量子相和系统实空间拓扑之间的联系。
