Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na2IrO3

Spiral order in the honeycomb iridate Li2IrO3

Johannes Reuther,1 Ronny Thomale,2 and Stephan Rachel3 1Department of Physics, California Institute of Technology, Pasadena, California 91125, USA 2Institute for Theoretical Physics, University of Würzburg, Am Hubland, D-97074 Würzburg, Germany 3Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany (Received 30 April 2014; revised manuscript received 20 August...

Transitions to Valence-Bond Solid Order in a Honeycomb Lattice Antiferromagnet

Interactions and phase transitions on graphene's honeycomb lattice.

The low-energy theory of interacting electrons on graphene's two-dimensional honeycomb lattice is derived and discussed. In particular, the Hubbard model in the large-N limit is shown to have a semimetal-antiferromagnetic insulator quantum critical point in the universality class of the Gross-Neveu model. The same equivalence is conjectured to hold in the physical case N=2, and its consequences...

Inducing topological order in a honeycomb lattice

We explore the possibility of inducing a topological insulator phase in a honeycomb lattice lacking spin-orbit interaction using a metallic (or Fermi gas) environment. The lattice and the metallic environment interact through a density-density interaction without particle tunneling, and integrating out the metallic environment produces a honeycomb sheet with in-plane oscillating long-ranged int...

Optimized interactions for targeted self-assembly: application to a honeycomb lattice.

We devise an inverse statistical-mechanical methodology to find optimized interaction potentials that lead spontaneously to a target many-particle configuration. Target structures can possess varying degrees of disorder, thus extending the traditional idea of self-assembly to incorporate both amorphous and crystalline structures as well as quasicrystals. For illustration purposes, our computati...