具有无限程相互作用的量子钟模型
Quantum clock models with infinite-range interactions
摘要：
研究了一类具有无限程相互作用的$\mathbb{Z}_q$模型在零温和有限温下的相图。我们能够识别之间的过渡的破缺和平凡的阶段，通过使用平均场的方法和微扰展开。我们进行我们的分析与$2p$体相互作用的哈密顿量，我们发现任何$p>1$的一阶跃迁;在$p=1$的情况下，过渡是一阶的$q=3$和二阶，否则。在无限范围的情况下，没有无间隙的无公度相位的痕迹，但是，当横向场是最大手征的，该模型是在任意大的字段的破缺相。本文研究了具有连续$U(1)$对称性的无限$q$极限的跃迁问题。
英文摘要：
We study the phase diagram, both at zero and finite temperature, in a class of $\mathbb{Z}_q$ models with infinite range interactions. We are able to identify the transitions between a symmetry-breaking and a trivial phase by using a mean-field approach and a perturbative expansion. We perform our analysis on a Hamiltonian with $2p$-body interactions and we find first-order transitions for any $p>1$; in the case $p=1$, the transitions are first-order for $q=3$ and second-order otherwise. In the infinite-range case there is no trace of gapless incommensurate phase but, when the transverse field is maximally chiral, the model is in a symmetry-breaking phase for arbitrarily large fields. We analytically study the transtion in the limit of infinite $q$, where the model possesses a continuous $U(1)$ symmetry.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
