The large N behaviour of the Lipkin model and exceptional points
The large N behaviour of the Lipkin model and exceptional points
复制标题
DOI：
10.1088/0305-4470/38/9/002
复制
发表时间：
2005-03-04
期刊：
影响因子：
--
通讯作者：
Geyer, HB
中科院分区：
文献类型：
--
作者：
Heiss, WD;Scholtz, FG;Geyer, HB
研究了普遍存在的Lipkin模型中的一个相互作用参数在传统临界点之外的情况。有人认为，相变发生在更高的光谱中，这种较大的相互作用，其中，使用适当的缩放的能量，相变的位置变得独立的粒子数。相变与复杂相互作用平面中的近奇点，即例外点有关。有限温度的考虑产生了与相变相关的众所周知的物理特征。
The ubiquitous Lipkin model is investigated for an interaction parameter beyond the traditional critical point. It is argued that a phase transition occurs higher up in the spectrum for such larger interaction, where, using appropriate scaling of the energies, the position of the phase transition becomes independent of the particle number. The phase transition is related to near singularities in the complex interaction plane, the exceptional points. Consideration of finite temperature yields the well-known physical features associated with phase transitions.