Bilayer Kitaev models: Phase diagrams and novel phases

Phase diagrams and lipid domains in multicomponent lipid bilayer mixtures.

Understanding the phase behavior of biological membranes is helped by the study of more simple systems. Model membranes that have as few as 3 components exhibit complex phase behavior that can be well described, providing insight for biological membranes. A number of different studies are in agreement on general findings for some compositional phase diagrams, in particular, those that model the...

Long-range Ising and Kitaev models: phases, correlations and edge modes

Weanalyze the quantumphases, correlation functions and edgemodes for a class of spin-1/2 and fermionicmodels related to the one-dimensional Ising chain in the presence of a transverse field. Thesemodels are the Ising chainwith anti-ferromagnetic long-range interactions that decaywith distancer as a r 1 , as well as a related class of fermionicHamiltonians that generalize theKitaev chain, where...

Phases of a bilayer

Topological phases of the Kitaev-Hubbard model at half filling

The Kitaev-Hubbard model of interacting fermions is defined on the honeycomb lattice and, at strong coupling, interpolates between the Heisenberg model and the Kitaev model. It is basically a Hubbard model with ordinary hopping t and spin-dependent hopping t ′. We study this model in the weak to intermediate coupling regime, at half filling, using the cellular dynamical impurity approximation (...

Bilayer graphene. Tunable fractional quantum Hall phases in bilayer graphene.

Symmetry-breaking in a quantum system often leads to complex emergent behavior. In bilayer graphene (BLG), an electric field applied perpendicular to the basal plane breaks the inversion symmetry of the lattice, opening a band gap at the charge neutrality point. In a quantizing magnetic field, electron interactions can cause spontaneous symmetry-breaking within the spin and valley degrees of fr...