7 papers
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…
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…
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…
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…
Phases of three-dimensional -wave superconductors with two attractive interactions
Majid Kheirkhah, Igor F. Herbut
Three-dimensional -wave () superconducting state may result from Cooper pairing in channels with different angular momenta and spin, such as or . W…