527 citations · 6.4k across the 130 of their papers we have counts for
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Critical phenomena at the complex tensor ordering phase transition
Igor Boettcher, Igor F. Herbut
We investigate the critical properties of the phase transition towards complex tensor order that has been proposed to occur in spin-orbit coupled superconductors. For this purpose…
Compatible orders and fermion-induced emergent symmetry in Dirac systems
Lukas Janssen, Igor F. Herbut, Michael M. Scherer
We study the quantum multicritical point in a (2+1)-dimensional Dirac system between the semimetallic phase and two ordered phases that are characterized by anticommuting mass term…
Four-loop critical exponents for the Gross-Neveu-Yukawa models
Nikolai Zerf, Luminita N. Mihaila, Peter Marquard +2
We study the chiral Ising, the chiral XY and the chiral Heisenberg models at four-loop order with the perturbative renormalization group in dimensions and compute critical ex…
Unconventional Superconductivity in Luttinger Semimetals: Theory of Complex Tensor Order and the Emergence of the Uniaxial Nematic State
Igor Boettcher, Igor F. Herbut
We investigate unconventional superconductivity in three-dimensional electronic systems with the chemical potential close to a quadratic band touching point in the band dispersion.…
Fermion-induced quantum criticality in two-dimensional Dirac semimetals: Non-perturbative flow equations, fixed points and critical exponents
Laura Classen, Igor F. Herbut, Michael M. Scherer
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. T…
Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems
Luminita N. Mihaila, Nikolai Zerf, Bernhard Ihrig +2
Dirac and Weyl fermions appear as quasi-particle excitations in many different condensed-matter systems. They display various quantum transitions which represent unconventional uni…