Topological states of non-Dirac electrons on triangular lattice

Abstract

We demonstrate the possibility of topological states for non-Dirac electrons. Specifically it is shown that, because of the $C_3$ crystal symmetry and time reversal symmetry, $p_x$ and $p_y$ orbits accommodated on triangular lattice exhibit a quadratic band touching at $\Gamma$ point at the Fermi level. When the atomic spin-orbit coupling (SOC) is taken into account, a gap is opened resulting in a quantum spin Hall effect state. As revealed explicitly by a $k\cdot p$ model, the topology is associated with a meron structure in the pseudo spin texture with vorticity two, a mechanism different from honeycomb lattice and the band inversion. One possible realization of this scheme is the 1/3 coverage by Bi atom adapted on the Si[111] surface. First-principle calculations are carried out, and a global gap of $\sim 0.15$eV is observed. With the Si substrate taking part in realizing the nontrivial topology, the present template is expected to make the integration of topological states into existing electronics and photonics technologies promising.

5 pages, 3 figures

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• Coupling effect of topological states and Chern insulators in two-dimensional triangular lattices
• Novel Chern insulators with half-metallic edge states
• Chern insulators without band inversion in MoS2 monolayers with 3d adatoms
• Interaction-driven Quantum Anomalous Hall Effect in Halogenated Hematite Nanosheets
• Chern insulators and high Curie temperature Dirac half-metal in two-dimensional metal-organic frameworks
• Non-necessity of band inversion process in 2D topological insulators for bulk gapless states and topological phase transitions
• A Unified View of Topological Phase Transition in Band Theory
• Crossover of spin Hall to quantum anomalous Hall effect in PbC/MnSe heterostructures