对称增强一级量子相变中格吕奈森比的发散
Divergence of the Grüneisen ratio at symmetry-enhanced first-order quantum phase transitions
摘要：
Grüneisen比率的研究，即，热膨胀和比热之间的比率已经成为量子临界性背景下的有力工具，因为理论上表明，在接近连续量子相变的转变点时，Grüneisen比率显示出特征幂律发散。在这里，我们表明，Grüneisen比也发散在一个增强的一阶量子相变，虽然与平均场指数，增强的对称性意味着消失的模式间隙是有限的过渡。我们提供了明确的结果，简单的伪自旋模型，无论是有和没有戈德斯通模式的稳定阶段，并讨论的影响。
英文摘要：
Studies of the Grüneisen ratio, i.e., the ratio between thermal expansion and specific heat, have become a powerful tool in the context of quantum criticality, since it was shown theoretically that the Grüneisen ratio displays characteristic power-law divergencies upon approaching the transition point of a continuous quantum phase transition. Here we show that the Grüneisen ratio also diverges at a symmetry-enhanced first-order quantum phase transition, albeit with mean-field exponents, as the enhanced symmetry implies the vanishing of a mode gap which is finite away from the transition. We provide explicit results for simple pseudo-spin models, both with and without Goldstone modes in the stable phases, and discuss implications.
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