Hu, Huanzhi;
Krüger, Frank;
(2025)
Quantum criticality of type-I and critically tilted Dirac semimetals.
Physica C: Superconductivity and its Applications
, 632
, Article 1354687. 10.1016/j.physc.2025.1354687.
(In press).
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Abstract
We investigate the universality of an Ising symmetry breaking phase transition of tilted two-dimensional Dirac fermions, in the type-I phase as well as at the Lifshitz transition between a type-I and a type-II semimetal, where the Fermi surface changes from point-like to one with electron and hole pockets that touch at the overtilted Dirac cones. We compute the Landau damping of long-wavelength order parameter fluctuations by tilted Dirac fermions and use the resulting IR propagator as input for a renormalisation-group analysis of the resulting Gross–Neveu–Yukawa field theory. We first demonstrate that the criticality of tilted type-I fermions is controlled by a line of fixed points along which the poles of the renormalised Green function correspond to an untilted Dirac spectrum with varying anisotropy of Fermi velocities. At the phase transition the Lorentz invariance is restored, resulting in the same critical exponents as for conventional Dirac systems. The multicritical point is given by the endpoint of the fixed-point line. It can be approached along any path in parameter space that avoids the fixed point line of the critical type-I semimetal. We show that the critical exponents at the Lifshitz point are different and that Lorentz invariance is broken.
| Type: | Article |
|---|---|
| Title: | Quantum criticality of type-I and critically tilted Dirac semimetals |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.physc.2025.1354687 |
| Publisher version: | https://doi.org/10.1016/j.physc.2025.1354687 |
| Language: | English |
| Additional information: | © 2025 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
| Keywords: | Quantum criticality, Dirac fermions, Tilted Dirac cones, Gross–Neveu–Yukawa theory |
| 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/10206077 |
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