Microscopic lattice model for quartic semi-Dirac fermions in two dimensions
arXiv:2505.06479 · doi:10.1088/1361-648X/adf0d4
Abstract
We propose a lattice model for the realization of exotic quartic semi-Dirac fermions, i.e. quasiparticles exhibiting a dispersion with quartic momentum dependence in a given direction, and a linear dependence in the perpendicular direction. A tight binding model is employed, allowing for hopping between up to fourth nearest neighbors and anisotropic hopping parameters. In addition, we introduce short range electron-electron interactions which are necessary to stabilize the quartic semi-Dirac phase. Without interactions, or in the presence of long range correlations, the lattice is unstable towards formation of either anisotropic Dirac cones, or simple (quadratic) semi-Dirac phase.
7 pages, 8 figures
References in corpus (26)
- The electronic properties of graphene
- Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
- Electronic states and Landau levels in graphene stacks
- Novel effects of strains in graphene and other two dimensional materials
- Merging of Dirac points in a two-dimensional crystal
- Existence and topological stability of Fermi points in multilayered graphene
- A new magnetic field dependence of Landau levels on a graphene like structure
- A universal Hamiltonian for the motion and the merging of Dirac cones in a two-dimensional crystal
- Dirac-point engineering and topological phase transitions in honeycomb optical lattices
- Emergence of a Chern-insulating state from a semi-Dirac dispersion
- Emergent non-Fermi liquid at the quantum critical point of a topological phase transition in two dimensions
- Photoinduced Chern insulating states in semi-Dirac materials
- A semi-Dirac point in the Hofstadter spectrum
- Optical properties of a semi-Dirac material
- Semi-Dirac Transport and Anisotropic Localization in Polariton Honeycomb Lattices
- Quantum Multicriticality near the Dirac-Semimetal to Band-Insulator Critical Point in Two Dimensions: A Controlled Ascent from One Dimension
- Dirac point metamorphosis from third-neighbor couplings in graphene
- Anisotropic magneto-optical absorption and linear dichroism in two-dimensional semi-Dirac electron systems
- Adsorption by design: tuning atom-graphene van der Waals interactions via mechanical strain
- Coupling, merging, and splitting Dirac points by electron-electron interaction
- Superconducting States for Semi-Dirac Fermions at Zero and Finite Magnetic Fields
- Role of four-fermion interaction and impurity in the states of two-dimensional semi-Dirac materials
- Coulomb interactions and renormalization of semi-Dirac fermions near a topological Lifshitz transition
- Coulomb interactions in systems of generalized semi-Dirac fermions
- Strain-induced superfluid transition for atoms on graphene
- Polarization Charge around Impurities in Two-Dimensional Anisotropic Dirac Systems