论文标题
量子关键点，线和表面
Quantum critical points, lines and surfaces
论文作者
论文摘要
在本文中，我们促进了量子临界线（{\ em Interiary}表面）的想法，而不是点。当零温度处的临界点在一维线中的连续体上延长时，量子临界线就会获得。我们将想法基于一个简单但恰好解决的模型，该模型是由一位涉及一维量子横向场ISING模型引入的，并增加了3-Spin相互作用。尽管许多想法是相当普遍的，但还有其他方面却没有。特别是，没有捕获具有连续变化的指数的批评线。但是，该模型的确切可解决性使我们对结果有很大的信心。尽管纯系统在分析上是精确解决的，但该疾病情况需要基于PFAFFIAN代表中相关函数的精确计算进行数值分析。疾病病例导致动态结构因子与频率和波矢量的函数。我们预计该模型是可以实现的，也许会发现许多其他类似的模型来探索量子临界线。
In this paper we promote the idea of quantum critical lines ({\em inter alia} surfaces) as opposed to points. A quantum critical line obtains when criticality at zero temperature is extended over a continuum in a one-dimensional line. We base our ideas on a simple but exactly solved model introduced by one of the authors involving a one-dimensional quantum transverse field Ising model with added 3-spin interaction. While many of the ideas are quite general, there are other aspects that are not. In particular, a line of criticality with continuously varying exponents is not captured. However, the exact solvability of the model gives us considerable confidence in our results. Although the pure system is analytically exactly solved, the disorder case requires numerical analyses based on exact computation of the correlation function in the Pfaffian representation. The disorder case leads to dynamic structure factor as a function of frequency and wave vector. We expect that the model is experientally realizable and perhaps many other similar models will be found to explore quantum critical lines.
