论文标题
同型量子相变
Homotopy quantum phase transitions
论文作者
论文摘要
我们提出了一类新的量子相变，该转换既不指局部顺序参数和关键波动，也不指连续的对称性破坏，而是由以同质术语表示的多粒子系统的拓扑变化分配。同质阶段的能量以逐步的方式变化，并且不同的同型在平面相互作用的多粒子系统中诱导特定相关性，这些系统代表了量子不可压缩状态的不同通用性模式。我们说明了在暴露于强的垂直磁场上的2D有限jellium上，在最简单的量子多粒子系统中说明了同质相变的概念。描述了与分数量子霍尔状态相关的同质阶段，并将其与它们的实验表现进行了比较。
We present a new class of quantum phase transitions that refer neither to local order parameter and critical fluctuations nor to continuous symmetry breaking but are assigned by the step-wise change in topology of the multi-particle system expressed in homotopy terms. The energy for homotopy phases changes in a step-wise manner and the different homotopies induce specific correlations in planar interacting multi-particle system representing different commesurability patterns of quantum incompressible states. We illustrate the concept of the homotopy phase transition in the simplest quantum multi-particle system of two repulsing electrons on a 2D finite jellium exposed to a strong perpendicular magnetic field. The homotopy phases related to fractional quantum Hall states are described and compared with their experimental manifestation.
