具有Gibbs基态的量子XZ自旋振子模型的三序参量
Three Order Parameters in Quantum XZ Spin-Oscillator Models with Gibbsian Ground States
摘要：
自旋为1/2的粒子与线性振子相互作用的超立方d维晶格上的量子模型具有三个铁磁基态序参量。两个序参量与第一和第三方向上的磁化一致，第三个序参量是连续振子变量中的磁化。证明使用了广义Peierls参数和两个Griffiths不等式。所考虑的自旋振子哈密顿量类在其基态表现出极大有序性。该模型具有相关的氢键铁电体。其中最简单的被证明有一个独特的吉布斯基态。
英文摘要：
Quantum models on the hyper-cubic d-dimensional lattice of spin-1/2 particles interacting with linear oscillators are shown to have three ferromagnetic ground state order parameters. Two order parameters coincide with the magnetization in the first and third directions and the third one is a magnetization in a continuous oscillator variable. The proofs use a generalized Peierls argument and two Griffiths inequalities. The class of spin-oscillator Hamiltonians considered manifest maximal ordering in their ground states. The models have relevance for hydrogen-bond ferroelectrics. The simplest of these is proven to have a unique Gibbsian ground state.
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