Classen, Laura, Herbut, Igor F. and Scherer, Michael M. ORCID: 0000-0003-0766-9949 (2017). Fluctuation-induced continuous transition and quantum criticality in Dirac semimetals. Phys. Rev. B, 96 (11). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969
Full text not available from this repository.Abstract
We establish a scenario where fluctuations of new degrees of freedom at a quantum phase transition change the nature of a transition beyond the standard Landau-Ginzburg paradigm. To this end, we study the quantum phase transition of gapless Dirac fermions coupled to a Z(3) symmetric order parameter within a Gross-Neveu-Yukawa model in 2+1 dimensions, appropriate for the Kekule transition in honeycomb lattice materials. For this model, the standard Landau-Ginzburg approach suggests a first-order transition due to the symmetry-allowed cubic terms in the action. At zero temperature, however, quantum fluctuations of the massless Dirac fermions have to be included. We show that they reduce the putative first-order character of the transition and can even render it continuous, depending on the number of Dirac fermions N-f. A nonperturbative functional renormalization group approach is employed to investigate the phase transition for a wide range of fermion numbers and we obtain the critical N-f, where the nature of the transition changes. Furthermore, it is shown that for large N-f the change from the first to second order of the transition as a function of dimension occurs exactly in the physical 2+1 dimensions. We compute the critical exponents and predict sizable corrections to scaling for N-f = 2.
Item Type: | Journal Article | ||||||||||||||||
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URN: | urn:nbn:de:hbz:38-217536 | ||||||||||||||||
DOI: | 10.1103/PhysRevB.96.115132 | ||||||||||||||||
Journal or Publication Title: | Phys. Rev. B | ||||||||||||||||
Volume: | 96 | ||||||||||||||||
Number: | 11 | ||||||||||||||||
Date: | 2017 | ||||||||||||||||
Publisher: | AMER PHYSICAL SOC | ||||||||||||||||
Place of Publication: | COLLEGE PK | ||||||||||||||||
ISSN: | 2469-9969 | ||||||||||||||||
Language: | English | ||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||
Subjects: | no entry | ||||||||||||||||
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Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/21753 |
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