论文标题
在量子相变的上方量表上方的尺寸上方缩放尺寸
Scaling at quantum phase transitions above the upper critical dimension
论文作者
论文摘要
由于危险的无关变量，已知高标准关系和标准有限尺寸缩放量表（FSS）在临界尺寸之上。在最近引入的热相转变的Q-FSS形式主义之后，我们在上面临界维度上方的量子相变的FSS上建立了一个连贯的形式主义。与长期的信念相反，相关部门受危险无关变量的影响。提出的形式主义恢复了广义的超级关系和FSS形式。使用这种新的FSS形式主义，我们确定了从最近的邻居到远程平均野外状态的所有关键性方案中的远程横向式iSing链的全套关键指数。对于同一模型，我们还明确确认了危险无关变量对特征长度尺度的影响。
The hyperscaling relation and standard finite-size scaling (FSS) are known to break down above the upper critical dimension due to dangerous irrelevant variables. We establish a coherent formalism for FSS at quantum phase transitions above the upper critical dimension following the recently introduced Q-FSS formalism for thermal phase transitions. Contrary to long-standing belief, the correlation sector is affected by dangerous irrelevant variables. The presented formalism recovers a generalized hyperscaling relation and FSS form. Using this new FSS formalism, we determine the full set of critical exponents for the long-range transverse-field Ising chain in all criticality regimes ranging from the nearest-neighbor to the long-range mean field regime. For the same model, we also explicitly confirm the effect of dangerous irrelevant variables on the characteristic length scale.
