论文标题
量子诱导的量子关键的修改
Phonon-induced modification of quantum criticality
论文作者
论文摘要
我们研究了声音子对O（$ n $）模型中量子相变的影响。我们在（3+1）时空维度附近开发了重新规范化组分析，并使用$ε$ - expansion得出RG方程。我们的结果表明，当基础O（$ n $）模型的口味数量超过关键数量$ n_c = 4 $时，量子过渡仍然是Wilson-Fisher型的二阶，而对于$ n \ le 4 $，它是弱的一阶过渡。我们通过长度尺度$ξ^*$来表征这种弱的一阶过渡，在此下方行为似乎至关重要。在有限的温度下，$ n \ le 4 $，一个三级点分开了弱的一阶和二阶过渡。
We study the effect of acoustic phonons on the quantum phase transition in the O($N$) model. We develop a renormalization group analysis near (3+1) space-time dimensions and derive the RG equations using an $ε$-expansion. Our results indicate that when the number of flavors of the underlying O($N$) model exceeds a critical number $N_c=4$, the quantum transition remains second-order of the Wilson-Fisher type while, for $N\le 4$, it is a weakly first-order transition. We characterize this weakly first-order transition by a length-scale $ξ^*$, below which the behavior appears to be critical. At finite temperatures for $N\le 4$, a tricritical point separates the weakly first-order and second-order transitions.
