Collective modes in a Dirac insulator with short range interactions
arXiv:1408.5730 · doi:10.1103/PhysRevB.91.125126
Abstract
We study a Haldane model with nearest neighbor interactions. We find one-dimensional like collective modes arising due to the interplay of pseudo-spin and valley degrees of freedom. In the large band gap or moderate interaction limit, these excitations are low energy modes lying in the band gap. The dispersion relations are qualitatively different in trivial insulator phase and Chern insulator phase, thus can be used to identify the topology of the Haldane model with the bulk property. We also discuss how to detect these modes in cold atom systems. An abelian gauge theory will emerge when a physical current-current interaction is introduced to the Haldane model or the Kane-Mele model.
minor version, a new reference added. Phys. Rev. B (in press)
References in corpus (48)
- Topological Insulators
- Topological insulators and superconductors
- Quantum Spin Hall Effect in Graphene
- Topological Order and the Quantum Spin Hall Effect
- Experimental realisation of the topological Haldane model
- Dielectric function, screening, and plasmons in 2D graphene
- Dynamical polarization of graphene at finite doping
- Observation of Dirac plasmons in a topological insulator
- Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
- Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
- Quantum Link Models: A Discrete Approach to Gauge Theories
- Topological Insulators and Mott Physics from the Hubbard Interaction
- Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
- Plasmonics in Dirac systems: from graphene to topological insulators
- A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
- Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
- Simulations of non-Abelian gauge theories with optical lattices
- Dynamical polarization, screening, and plasmons in gapped graphene
- Collective modes of a helical liquid
- Quantum simulations of gauge theories with ultracold atoms: local gauge invariance from angular momentum conservation
- The Fermion-Boson Mapping in Three Dimensional Quantum Field Theory
- Atomic quantum simulator for lattice gauge theories and ring exchange models
- Optical Abelian Lattice Gauge Theories
- Particle-hole symmetry and interaction effects in the Kane-Mele-Hubbard model
- Cold atom simulation of interacting relativistic quantum field theories
- Confinement and lattice QED electric flux-tubes simulated with ultracold atoms
- Thermo-Plasma Polariton within Scaling Theory of Single-Layer Graphene
- Quantum phase transitions in the Kane-Mele-Hubbard model
- Quantum Spin Hall Insulators with Interactions and Lattice Anisotropy
- Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms
- Superconducting Circuits for Quantum Simulation of Dynamical Gauge Fields
- Interaction effects and quantum phase transitions in topological insulators
- Charge response function and a novel plasmon mode in graphene
- Interaction corrections to the polarization function of graphene
- Interaction Driven Subgap Spin Exciton in the Kondo Insulator SmB6
- Intrinsic plasmons in 2D Dirac materials
- Momentum transferred to a trapped Bose-Einstein condensate by stimulated light scattering
- Why does graphene behave as a weakly interacting system?
- Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
- Probing the Topological Phase Transition via Density Oscillations in Silicene and Germanene
- Phase Diagram of the Kane-Mele-Hubbard model
- Doping the Kane-Mele-Hubbard model: A Slave-Boson Approach
- In-gap collective mode spectrum of the Topological Kondo Insulator SmB6
- Phase diagram of the strongly correlated Kane-Mele-Hubbard model
- Bosonization and Duality of Massive Thirring Model
- Abelian Chern-Simons-Maxwell theory from a tight binding model of spinless fermions
- Unconventional quasiparticle lifetime in undoped graphene
- Collective Modes of Massive Dirac Fermions in Armchair Graphene Nanoribbons
Cited by in corpus (4)
- Weakly Interacting Topological Insulators: Quantum Criticality and Renormalization Group Approach
- Topological phase transitions and universality in the Haldane-Hubbard model
- Corroborating the bulk-edge correspondence in weakly interacting 1D topological insulators
- Emergence of charge density wave and superconducting phase transitions through Lorentz-invariant interactions in the Haldane-Hubbard model