Dirac States in an Inclined Two-Dimensional Su-Schrieffer-Heeger Model

Abstract

We propose to realize Dirac states in an inclined two-dimensional Su-Schrieffer-Heeger model on a square lattice. We show that a pair of Dirac points protected by space-time inversion symmetry appear in the semimetal phase. The locations of these Dirac points are not pinned to any high-symmetry points of the Brillouin zone but are tunable through parameter modulations. Interestingly, the merging of two Dirac points undergoes a topological phase transition that leads to either a weak topological insulator or a nodal-line semimetal. We provide a systematic analysis of these topological phases from both bulk and boundary perspectives combined with symmetry arguments. We also discuss feasible experimental platforms to realize our model.

arXiv commentReferences updated. Published version

References in corpus (54)

• The electronic properties of graphene
• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Chiral tunneling and the Klein paradox in graphene
• Classification of topological insulators and superconductors in three spatial dimensions
• Quantum Spin Hall Effect in Silicene
• Valley contrasting physics in graphene: magnetic moment and topological transport
• Quantized Electric Multipole Insulators
• Valley filter and valley valve in graphene
• Higher-Order Topological Insulators
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• A tight-binding approach to uniaxial strain in graphene
• Electronic and Magnetic Properties of Nanographite Ribbons
• Valley Dependent Optoelectronics from Inversion Symmetry Breaking
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Topolectrical circuit realization of topological corner modes
• Observation of a phononic quadrupole topological insulator
• Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
• Quantum-limited shot noise in graphene
• Higher-Order Topology in Bismuth
• Demonstration of a quantized microwave quadrupole insulator with topologically protected corner states
• Evidence of Klein tunneling in graphene p-n junctions
• Dirac Semimetals in Two Dimensions
• Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
• Visualization of higher-order topological insulating phases in two-dimensional dielectric photonic crystals
• Direct observation of corner states in second-order topological photonic crystal slabs
• The Zak phase and the existence of edge states in graphene
• Novel Topological Phase with Zero Berry Curvature
• Corner states of light in photonic waveguides
• Merging of Dirac points in a two-dimensional crystal
• Flat bands in topological media
• Topological phases and surface flat bands in superconductors without inversion symmetry
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• Observation of a higher-order topological bound state in the continuum
• Möbius Insulator and Higher-Order Topology in MnBi${}_{2n}$Te${}_{3n+1}$
• Dirac-point engineering and topological phase transitions in honeycomb optical lattices
• Topological transition of Dirac points in a microwave experiment
• Topological Phase Transitions in Disordered Electric Quadrupole Insulators
• Two-Dimensional Dirac Fermions Protected by Space-Time Inversion Symmetry in Black Phosphorus
• Projectively enriched symmetry and topology in acoustic crystals
• Acoustic Möbius insulators from projective symmetry
• 3D hinge transport in acoustic higher-order topological insulators
• Semi-Dirac Transport and Anisotropic Localization in Polariton Honeycomb Lattices
• The gauge-field extended $k\cdot p$ method and novel topological phases
• Direct prediction of corner state configurations from edge winding numbers in 2D and 3D chiral-symmetric lattice systems
• Detection of second-order topological superconductors by Josephson junctions
• Topological States in Generalized Electric Quadrupole Insulators
• Experimental realization of two-dimensional weak topological insulators
• Higher-order Fabry-Pérot Interferometer from Topological Hinge States
• Merging of the Dirac points in electronic artificial graphene
• Two-dimensional weak-type topological insulators in inversion symmetric crystals
• Chiral anomaly and anomalous finite-size conductivity in graphene
• Translation symmetry-enriched toric code insulator
• Pseudo chiral anomaly in zigzag graphene ribbons

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• Klein-bottle quadrupole insulators and Dirac semimetals
• Cataloging topological phases of $N$-stacked Su-Schrieffer-Heeger chains by a systematic breaking of symmetries
• Floating Edge Bands in the Bernevig-Hughes-Zhang model with Altermagnetism
• Tunable Dirac points in a two-dimensional non-symmorphic wallpaper group lattice
• Family of third-order topological insulators from Su-Schrieffer-Heeger stacking
• Altermagnetism and its induced higher-order topology on the Lieb lattice
• Topological defect-mediated corner states and higher-order bulk topology in a two-dimensional crystalline insulator
• Characterization of the 2D Su-Schrieffer-Heeger Model with Second-Nearest-Neighbor Interactions
• Universal transition of spectral fluctuation in particle-hole symmetric system