Using a one-loop epsilon expansion, the tilt and velocity anisotropy perturbations are shown to be irrelevant at the quantum critical point of non-Hermitian tilted Dirac semimetals, so Yukawa-Lorentz symmetry emerges.
(A1) In the case of antisymmetric tilt, we obtain (GAS F (iω, k))−1(iω + [(vH + vNHM )(Γ · k) + αvHTASkx]) = −ω2 − v2 Fk2 − α2v2 Hk2 x − 2αvH(vH + vNHM )(Γ · k)TASkx
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Yukawa-Lorentz Symmetry of Tilted Non-Hermitian Dirac Semimetals at Quantum Criticality
Using a one-loop epsilon expansion, the tilt and velocity anisotropy perturbations are shown to be irrelevant at the quantum critical point of non-Hermitian tilted Dirac semimetals, so Yukawa-Lorentz symmetry emerges.