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Fermionic quantum criticality in honeycomb and -flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
Francesco Parisen Toldin, Martin Hohenadler, Fakher F. Assaad +1
We numerically investigate the critical behavior of the Hubbard model on the honeycomb and the -flux lattice, which exhibits a direct transition from a Dirac semimetal to an ant…
Phase diagram of the Kane-Mele-Coulomb model
M. Hohenadler, F. Parisen Toldin, I. F. Herbut +1
We determine the phase diagram of the Kane-Mele model with a long-range Coulomb interaction using an exact quantum Monte Carlo method. Long-range interactions are expected to play…
Topological Mott insulator in three-dimensional systems with quadratic band touching
Igor F. Herbut, Lukas Janssen
We argue that a three dimensional electronic system with the Fermi level at the quadratic band touching point such as HgTe could be unstable with respect to the spontaneous formati…
Nematic, topological and Berry phases when a flat and a parabolic band touch
Balázs Dóra, Igor F. Herbut, Roderich Moessner
A (single flavor) quadratic band crossing in two dimensions is known to have a generic instability towards a quantum anomalous Hall (QAH) ground state for infinitesimal repulsive i…
Antiferromagnetic critical point on graphene's honeycomb lattice: A functional renormalization group approach
Lukas Janssen, Igor F. Herbut
Electrons on the half-filled honeycomb lattice are expected to undergo a direct continuous transition from the semimetallic into the antiferromagnetic insulating phase with increas…
Zero-modes and global antiferromagnetism in strained graphene
Bitan Roy, Fakher F. Assaad, Igor F. Herbut
A novel magnetic ground state is reported for the Hubbard Hamiltonian in strained graphene. When the chemical potential lies close to the Dirac point, the ground state exhibits loc…