Correlation effects in two-dimensional topological insulators

M Hohenadler, FF Assaad - Journal of Physics: Condensed …, 2013 - iopscience.iop.org
Topological insulators have become one of the most active research areas in condensed
matter physics. This article reviews progress on the topic of electronic correlation effects in …

An exact chiral amorphous spin liquid

G Cassella, P d'Ornellas, T Hodson… - Nature …, 2023 - nature.com
Topological insulator phases of non-interacting particles have been generalized from
periodic crystals to amorphous lattices, which raises the question whether topologically …

The characterization of topological properties in quantum monte carlo simulations of the kane–mele–hubbard model

ZY Meng, HH Hung, TC Lang - Modern Physics Letters B, 2014 - World Scientific
Topological insulators present a bulk gap, but allow for dissipationless spin transport along
the edges. These exotic states are characterized by the Z2 topological invariant and are …

Magnetic ordering phenomena of interacting quantum spin Hall models

J Reuther, R Thomale, S Rachel - Physical Review B—Condensed Matter and …, 2012 - APS
The two-dimensional Hubbard model defined for topological band structures exhibiting a
quantum spin Hall effect poses fundamental challenges in terms of phenomenological …

Topological order in a correlated three-dimensional topological insulator

J Maciejko, V Chua, GA Fiete - Physical review letters, 2014 - APS
Motivated by experimental progress in the growth of heavy transition metal oxides, we
theoretically study a class of lattice models of interacting fermions with strong spin-orbit …

Entanglement entropy and spectra of the one-dimensional Kugel-Khomskii model

R Lundgren, V Chua, GA Fiete - Physical Review B—Condensed Matter and …, 2012 - APS
We study the quantum entanglement of the spin and orbital degrees of freedom in the one-
dimensional Kugel-Khomskii model, which includes both gapless and gapped phases …

Interaction effects on topological phase transitions via numerically exact quantum Monte Carlo calculations

HH Hung, V Chua, L Wang, GA Fiete - Physical Review B, 2014 - APS
We theoretically study topological phase transitions in four generalized versions of the Kane-
Mele-Hubbard model with up to 2× 18 2 sites. All models are free of the fermion-sign …

Topological Invariant and Quantum Spin Models from Magnetic Fluxes <?format ?>in Correlated Topological Insulators

FF Assaad, M Bercx, M Hohenadler - Physical Review X, 2013 - APS
The adiabatic insertion of a π flux into a quantum spin Hall insulator gives rise to localized
spin and charge fluxon states. We demonstrate that π fluxes can be used in exact quantum …

Time-reversal symmetric Kitaev model and topological superconductor in two dimensions

R Nakai, S Ryu, A Furusaki - Physical Review B—Condensed Matter and …, 2012 - APS
A time-reversal invariant Kitaev-type model is introduced in which spins (Dirac matrices) on
the square lattice interact via anisotropic nearest-neighbor and next-nearest-neighbor …

Dynamics of a quantum spin liquid

WMH Natori, M Daghofer, RG Pereira - Physical Review B, 2017 - APS
We study a spin-orbital model for 4 d 1 or 5 d 1 Mott insulators in ordered double perovskites
with strong spin-orbit coupling. This model is conveniently written in terms of pseudospin …