双修饰的Ising-Heisenberg平面模型是凝聚态物理领域一个受到比较广泛重视的模型。由于量子关联对于研究低温情况下物质的相变具有十分重要的意义, 所以本文里我们考查了这个模型中同一个键里两个海森堡自旋量子关联的几何特性。另一方面, 由于任何体系不可避免地要受到外界环境的影响, 我们同样也求解了三种不同的局域通道作用下量子关联的几何测量, 以期该文的研究结果对于研究噪声存在情况下体系的相变具有一定的借鉴意义。

Doubly decorated Ising-Heisenberg planar mode is a widely researched mode in the realm of condensed physics.Since the quantum correlation possessed a significant meaning on considering phase transitions for the condensed matter at the case of low temperature, we investigated the geometric properties of quantum correlation of the two Heisenberg spins in the same bond.On the other hand, since every quantum system have to be influenced by the environment, we also considered the geometric measure of quantum discord(GMQD) for the system under the influence of three different local quantum channels, with the expect that the results will be useful for researching phase transitions for quantum systems suffered the action of there surroundings.