527 citations · 6.4k across the 130 of their papers we have counts for
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All-temperature superfluidity in two dimensions
Bilal Hawashin, Soumyadeep Chaudhuri, Igor F. Herbut +1
In local theories with short-range interactions, continuous symmetries cannot be spontaneously broken in two spatial dimensions at nonzero temperature. -symmetric mo…
Symplectic symmetry of quadratic-band-touching Hamiltonians in two dimensions
Igor F. Herbut, Samson C. H. Ling
The internal low-energy symmetry of the massless Lorentz-invariant Dirac Hamiltonian in dimensions is known to be , where is the number of two-component Dirac ferm…
Phase transitions on the dark side of the Gross-Neveu model: Spontaneous symmetry breaking at repulsive coupling
Gabriel Osiander Rein, Fakher F. Assaad, Igor F. Herbut
Gross-Neveu model in 2+1 dimensions exhibits a continuous transition from gapless Dirac semimetal to the gapped quantum anomalous Hall (QAH) insulator at a finite (attractive) coup…
Beyond one-loop calculation: Higher-order effects on Gross-Neveu-Yukawa tensorial criticality
SangEun Han, Igor F. Herbut
We study the Gross-Neveu-Yukawa field theory for the SO() symmetric traceless rank-two tensor order parameter coupled to Majorana fermions using the -expansion around upper c…
Quantum multicriticality and emergent symmetry in Dirac systems with two order parameters at three-loop order
Max Uetrecht, Igor F. Herbut, Michael M. Scherer +2
Two-dimensional materials with interacting Dirac excitations can host quantum multicritical behavior near the phase boundaries of the semimetallic and two-ordered phases. We study…
Gross-Neveu-Yukawa SO(2) and SO(3) tensorial criticality
SangEun Han, Shouryya Ray, Igor F. Herbut
We investigate the relativistic SO(2)- and SO(3)-invariant Gross-Neveu-Yukawa field theories for real, rank-two, symmetric, traceless tensor order parameters coupled to $N_{\text{f…
Gross-Neveu-Yukawa theory of spontaneous symmetry breaking
SangEun Han, Igor F. Herbut
We construct and study the relativistic Gross-Neveu-Yukawa field theory for the real symmetric second-rank tensor order parameter coupled to flavors of -c…
Absence of SO(4) quantum criticality in Dirac semimetals at two-loop order
Max Uetrecht, Igor F. Herbut, Emmanuel Stamou +1
Evidence for relativistic quantum criticality of antiferromagnetism and superconductivity in two-dimensional Dirac fermion systems has been found in large-scale quantum Monte Carlo…
unification and the large-N theory of superconductor-insulator transition of two-dimensional Dirac fermions
Igor F. Herbut, Subrata Mandal
Electrons on honeycomb or pi-flux lattices obey effective massless Dirac equation at low energies and at the neutrality point, and should suffer quantum phase transitions into vari…
Wilson-Fisher fixed points in presence of Dirac fermions
Igor F. Herbut
Wilson-Fisher expansion near upper critical dimension has proven to be an invaluable conceptual and computational tool in our understanding of the universal critical behavior in th…
SO(4) multicriticality of two-dimensional Dirac fermions
Igor F. Herbut, Michael M. Scherer
We study quantum multicritical behavior in a (2+1)-dimensional Gross-Neveu-Yukawa field theory with eight-component Dirac fermions coupled to two triplets of order parameters that…
Nematic Quantum Criticality in Dirac Systems
Jonas Schwab, Lukas Janssen, Kai Sun +4
We investigate nematic quantum phase transitions in two different Dirac fermion models. The models feature twofold and fourfold, respectively, lattice rotational symmetries that ar…
Response to Comment on "The role of electron-electron interactions in two-dimensional Dirac fermions"
Ho-Kin Tang, J. N. Leaw, J. N. B. Rodrigues +4
Hesselmann {\it et al}.~question one of our conclusions, namely, the suppression of Fermi velocity at the Gross-Neveu critical point for the specific case of vanishing long-range i…
Hydrodynamic transport in the Luttinger-Abrikosov-Beneslavskii non-Fermi liquid
Julia M. Link, Igor F. Herbut
We determine the shear viscosity and the dc electrical conductivity of interacting three-dimensional Luttinger semimetals, which have a quadratic band touching point in the energy…
Abelian Higgs model at four loops, fixed-point collision and deconfined criticality
Bernhard Ihrig, Nikolai Zerf, Peter Marquard +2
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…
Electronic Ground State in Bilayer Graphene with Realistic Coulomb Interactions
Jia Ning Leaw, Ho-Kin Tang, Pinaki Sengupta +3
Both insulating and conducting electronic behaviors have been experimentally seen in clean bilayer graphene samples at low temperature, and there is still no consensus on the natur…
The role of electron-electron interactions in two-dimensional Dirac fermions
Ho-Kin Tang, J. N. Leaw, J. N. B. Rodrigues +4
The role of electron-electron interactions on two-dimensional Dirac fermions remains enigmatic. Using a combination of nonperturbative numerical and analytical techniques that inco…
Fermion-induced quantum criticality with two length scales in Dirac systems
Emilio Torres, Laura Classen, Igor F. Herbut +1
The quantum phase transition to a -ordered Kekulé valence bond solid in two-dimensional Dirac semimetals is governed by a fermion-induced quantum critical point, whic…
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…
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…
Anisotropy induces non-Fermi-liquid behavior and nematic magnetic order in three-dimensional Luttinger semimetals
Igor Boettcher, Igor F. Herbut
We illuminate the intriguing role played by spatial anisotropy in three-dimensional Luttinger semimetals featuring quadratic band touching and long-range Coulomb interactions. We o…