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Condensed Matter > Strongly Correlated Electrons
Title: Fermion enhanced first-order phase transition and chiral Gross-Neveu tricritical point
(Submitted on 1 Dec 2020 (v1), last revised 27 Feb 2021 (this version, v3))
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.
Submission history
From: Yuzhi Liu [view email][v1] Tue, 1 Dec 2020 12:50:24 GMT (318kb,D)
[v2] Fri, 4 Dec 2020 01:35:19 GMT (318kb,D)
[v3] Sat, 27 Feb 2021 12:13:05 GMT (333kb,D)
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