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Criticality of Dirac fermions in the presence of emergent gauge fields

Christou, E; De Juan, F; Krüger, F; (2020) Criticality of Dirac fermions in the presence of emergent gauge fields. Physical Review B , 101 (15) 10.1103/PhysRevB.101.155121. Green open access

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Abstract

We consider spontaneous symmetry-breaking transitions of strongly interacting two-dimensional Dirac fermions minimally coupled to mass and emergent gauge field order parameters. Using a renormalization group analysis, we show that the presence of gauge fields leads to fermion-induced quantum (multi)criticality where the putative emergent Lorentz invariance is violated. We illustrate this with the example of translational symmetry breaking due to charge-density wave order on the honeycomb lattice. Finally, we identify that topological phase transitions are well described by this effective field theory.

Type: Article
Title: Criticality of Dirac fermions in the presence of emergent gauge fields
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevB.101.155121
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology
URI: https://discovery.ucl.ac.uk/id/eprint/10095123
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