论文标题

费米恩增强了一阶相变和手性毛发三智度点

Fermion enhanced first-order phase transition and chiral Gross-Neveu tricritical point

论文作者

Liu, Yuzhi, Meng, Zi Yang, Yin, Shuai

论文摘要

无质量的狄拉克·费米昂的波动不仅可以将一阶骨相变(在兰道意义上)转变为量子临界点,而且还可以逆转以增强一阶过渡本身,这取决于在耦合校正中实现有限尺寸效应。在这里,我们通过在晶格模型上采用量子蒙特卡洛模拟来报告后者的案例研究,其中玻色子部分以Landau-Devonshire的一阶相变和Yukawa耦合到Dirac Fermions。我们发现,随着Yukawa耦合的增加,一阶相变的参数范围变得更大,并且随着临界波动和有限尺寸效应之间的相互作用,该现象的显微镜机制被揭示出这种现象的微观机制。此外,发现一阶和连续相变之间的分离点的缩放行为属于手性三个智力透明通用性。我们的结果表明,无质量的狄拉克费米子,关键波动和有限尺寸效应的相互作用可能会触发过多有趣的现象,因此在进行概括时需要非常注意。

The fluctuations of massless Dirac fermion can not only turn a first-order bosonic phase transition (in the Landau sense) to a quantum critical point, but also work reversely to enhance the first-order transition itself, depending on the implementation of finite size effects in the coupling corrections. Here, we report a case study of the latter by employing quantum Monte Carlo simulation upon a lattice model in which the bosonic part featuring the Landau-Devonshire first-order phase transition and Yukawa coupled to the Dirac fermions. We find that the parameter range for the first-order phase transition becomes larger as the Yukawa coupling increases and the microscopic mechanism of this phenomena is revealed, at a quantitative level, as the interplay between the critical fluctuations and the finite-size effects. Moreover, the scaling behavior at the separation point between the first-order and the continuous phase transitions is found to belong to the chiral tricritical Gross-Neveu universality. Our result demonstrates that the interplay of massless Dirac fermions, critical fluctuations and the finite size effects could trigger a plethora of interesting phenomena and therefore great care is called for when making generalizations.

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