M. Scherer

Publications91
h-index25
Citations1,572
Highly Influential Citations39
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Four-loop critical exponents for the Gross-Neveu-Yukawa models
We study the chiral Ising, the chiral XY and the chiral Heisenberg models at four-loop order with the perturbative renormalization group in $4-\epsilon$ dimensions and compute critical exponents for…
Gross-Neveu-Yukawa model at three loops and Ising critical behavior of Dirac systems
Dirac and Weyl fermions appear as quasiparticle excitations in many different condensed-matter systems. They display various quantum transitions which represent unconventional universality classes…
Fluctuation-induced continuous transition and quantum criticality in Dirac semimetals
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…
Compatible orders and fermion-induced emergent symmetry in Dirac systems
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 terms with…
Critical behavior of Dirac fermions from perturbative renormalization
Gapless Dirac fermions appear as quasiparticle excitations in various condensed-matter systems. They feature quantum critical points with critical behavior in the 2+1 dimensional Gross-Neveu…
Deconfined criticality from the QED3 -Gross-Neveu model at three loops
The QED$_3$-Gross-Neveu model is a (2+1)-dimensional U(1) gauge theory involving Dirac fermions and a critical real scalar field. This theory has recently been argued to represent a dual description…
Abelian Higgs model at four loops, fixed-point collision, and deconfined criticality
The abelian Higgs model is the textbook example for the superconducting transition and the Anderson-Higgs mechanism, and has become pivotal in the description of deconfined quantum criticality. We…
The Higgs mass and the scale of new physics
A bstractIn view of the measured Higgs mass of 125 GeV, the perturbative renormalization group evolution of the Standard Model suggests that our Higgs vacuum might not be stable. We connect the usual…
Imaging the Electric Potential within Organic Solar Cells
The charge transport in organic solar cells is investigated by surface potential measurements via scanning Kelvin probe microscopy. Access to the solar cell's cross‐section is gained by milling holes…
Multicritical behavior in models with two competing order parameters.
TLDR
The fate of nontrivial fixed points during the transition from three to four dimensions is studied, finding evidence for a triviality problem for coupled two-scalar models in high-energy physics.
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