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Fermionic quantum criticality in honeycomb and π -flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo
We numerically investigate the critical behavior of the Hubbard model on the honeycomb and the $\pi$-flux lattice, which exhibits a direct transition from a Dirac semimetal to an
Correlation effects in quantum spin-Hall insulators: a quantum Monte Carlo study.
In the quantum spin-Hall state the Kane-Mele model supplemented by a Hubbard U term is considered, and the spin, charge, and single-particle dynamics of the helical Luttinger liquid is studied by retaining the Hubbard interaction only on a ribbon edge.
Dirac Fermions with Competing Orders: Non-Landau Transition with Emergent Symmetry.
A model of Dirac fermions in 2+1 dimensions with dynamically generated, anticommuting SO(3) Néel and Z_{2} Kekulé mass terms that permits sign-free quantum Monte Carlo simulations is considered and provides a new framework to study exotic critical phenomena.
Ising deconfinement transition between Feshbach-resonant superfluids.
The phase diagram of bosons interacting via Feshbach-resonant pairing interactions in a one-dimensional lattice is investigated and the atomic and molecular correlations in this low-dimensional setting are explored.
Correlation effects in two-dimensional topological insulators.
This article reviews progress on the topic of electronic correlation effects in the two-dimensional case, with a focus on systems with intrinsic spin-orbit coupling and numerical results.
Superconductivity from the condensation of topological defects in a quantum spin-Hall insulator
A model of interacting Dirac fermions where a QSH state is dynamically generated where a monopole-free deconfined quantum critical point is offered, making it more amenable to detailed numerical studies.
Charge-Density-Wave Transitions of Dirac Fermions Coupled to Phonons.
The spontaneous generation of charge-density-wave order in a Dirac fermion system via the natural mechanism of electron-phonon coupling is studied in the framework of the Holstein model on the honeycomb lattice and finite-size scaling appears consistent with fermionic Gross-Neveu-Ising universality for the quantum phase transition and bosonic Ising universalities for the thermal phase transition.
Density waves in strongly correlated quantum chains
Abstract We review exact numerical results for one-dimensional quantum systems with half-filled bands. The topics covered include Peierls transitions in Holstein, Fröhlich, Su-Schrieffer-Heeger, and
Dynamical critical exponent of the Jaynes-Cummings-Hubbard model
An array of high-Q electromagnetic resonators coupled to qubits gives rise to the Jaynes-Cummings-Hubbard model describing a superfluid to Mott-insulator transition of lattice polaritons. From
Polariton Mott insulator with trapped ions or circuit QED
We consider variants of the Jaynes-Cummings-Hubbard model of lattice polaritons, taking into account next-nearest-neighbor, diagonal, and long-range photon hopping in one and two dimensions. These