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

Authors :
Liu, Yuzhi
Meng, Zi Yang
Yin, Shuai
Source :
Phys. Rev. B 103, 075147 (2021)
Publication Year :
2020

Abstract

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.<br />Comment: 9 pages, 6 figures

Details

Database :
arXiv
Journal :
Phys. Rev. B 103, 075147 (2021)
Publication Type :
Report
Accession number :
edsarx.2012.00449
Document Type :
Working Paper
Full Text :
https://doi.org/10.1103/PhysRevB.103.075147