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We construct a minimal four-band model for the two-dimensional (2D) topological insulators and quantum anomalous Hall insulators based on the $p_x$- and $p_y$-orbital bands in the honeycomb lattice. The multiorbital structure allows the…

介观与纳米尺度物理 · 物理学 2014-08-12 Gu-Feng Zhang , Yi Li , Congjun Wu

The graph-theoretic topological frustration is a peculiar situation on a finite piece of the honeycomb lattice that prevents a full pairwise coupling of the lattice sites via nearest neighbor links, even when the total number of sites is an…

介观与纳米尺度物理 · 物理学 2026-04-28 Vasil A. Saroka

The spin Hall effect is investigated in a two-orbital tight-binding model on a honeycomb lattice. We show that the model exhibits three topologically-different insulating phases at half filling, which are distinguished by different…

强关联电子 · 物理学 2015-04-15 Satoru Hayami , Hiroaki Kusunose , Yukitoshi Motome

The growing skill in the synthesis processes of new materials has intensified the interest in exploring the properties of systems modeled by more complex lattices. Two-dimensional super-honeycomb lattices, have been investigated in metallic…

介观与纳米尺度物理 · 物理学 2023-02-03 A. B. Felix de Souza , L. Spreafico , D. Faria , A. Latgé

Graphene was the first material predicted to be a time-reversal-invariant topological insulator; however, the insulating gap is immeasurably small owing to the weakness of spin-orbit interactions in graphene. A recent experiment [1]…

介观与纳米尺度物理 · 物理学 2015-06-05 Pouyan Ghaemi , Sarang Gopalakrishnan , Taylor L. Hughes

We study the spin-orbit coupling induced by the splitting between TE and TM optical modes in a photonic honeycomb lattice. Using a tight-binding approach, we calculate analytically the band structure. Close to the Dirac point,we derive an…

介观与纳米尺度物理 · 物理学 2015-06-19 A. V. Nalitov , G. Malpuech , H. Terças , D. Solnyshkov

Although many possible two-dimensional (2D) topological insulators (TIs) have been predicted in recent years, there is still lack of experimentally realizable 2D TI. Through first-principles and tight-binding simulations, we found an…

材料科学 · 物理学 2018-07-31 Can Qi , Liying Ouyang , Jun Hu

We study the spin Hall effect (SHE) in graphene using a realistic multi-orbital tight-binding model that includes the atomic spin-orbit interaction. The SHE is found to be induced by the spin-dependent Aharonov-Bohm phase. In the metallic…

介观与纳米尺度物理 · 物理学 2009-11-13 Seiichiro Onari , Yasuhito Ishikawa , Hiroshi Kontani , Jun-ichiro Inoue

Realization of the quantum-spin-Hall effect in graphene devices has remained an outstanding challenge dating back to the inception of the field of topological insulators. Graphene's exceptionally weak spin-orbit coupling -stemming from…

介观与纳米尺度物理 · 物理学 2019-04-05 K. Hatsuda , H. Mine , T. Nakamura , J. Li , R. Wu , S. Katsumoto , J. Haruyama

The recent observation of superconductivity in proximity to an insulating phase in twisted bilayer graphene (TBG) at small `magic' twist angles has been linked to the existence of nearly-flat bands, which make TBG a fresh playground to…

超导电性 · 物理学 2018-12-11 Jörn W. F. Venderbos , Rafael M. Fernandes

We propose a class of graphene-based moir\'e systems hosting flat bands on kagome and honeycomb moir\'e superlattices. These systems are formed by stacking a graphene layer on a 2D substrate with lattice constant approximately $\sqrt{3}$…

介观与纳米尺度物理 · 物理学 2023-12-18 Michael G. Scheer , Biao Lian

We provide a self-consistent mean-field framework to study the effect of strong interactions in a quantum spin Hall insulator on the honeycomb lattice. We identify an exotic phase for large spin-orbit coupling and intermediate Hubbard…

强关联电子 · 物理学 2012-01-26 Andreas Rüegg , Gregory A. Fiete

We study the electronic properties of the confined honeycomb lattice in the presence of the intrinsic spin-orbit (ISO) interaction and perpendicular magnetic field, and report on uncommon aspects of the quantum spin Hall conductance…

介观与纳米尺度物理 · 物理学 2015-06-18 B. Ostahie , M. Nita , A. Aldea

We study the combined effects of lattice deformation, e-e interaction and spin-orbit coupling in a two-dimensional (2D) honeycomb lattice. We adopt different kinds of hopping modulation--generalized dimerization and a Kekule distortion--and…

强关联电子 · 物理学 2015-03-09 F. Grandi , F. Manghi , O. Corradini , C. M. Bertoni

We consider the Kane-Mele-Hubbard model with a magnetic $\pi$ flux threading each honeycomb plaquette. The resulting model has remarkably rich physical properties. In each spin sector, the noninteracting band structure is characterized by a…

强关联电子 · 物理学 2014-08-26 Martin Bercx , Martin Hohenadler , Fakher F. Assaad

We consider the combined effects of large spin-orbit couplings and a perpendicular magnetic field in a 2D honeycomb fermionic lattice. This system provides an elegant setup to generate versatile spin textures propagating along the edge of a…

介观与纳米尺度物理 · 物理学 2012-01-20 N. Goldman , W. Beugeling , C. Morais Smith

Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

介观与纳米尺度物理 · 物理学 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban

As heavy analog of graphene, plumbene is a two-dimensional material with strong spin-orbit coupling effects. Using scanning tunneling microscopy (STM), we observe that Pb forms a flat honeycomb lattice on an Fe monolayer on Ir(111). In…

The so called quantum spin Hall phase is a topologically non trivial insulating phase that is predicted to appear in graphene and graphene-like systems. In this work we address the question of whether this topological property persists in…

介观与纳米尺度物理 · 物理学 2015-07-08 N. A. Garcia-Martinez , J. L. Lado , J. Fernandez-Rossier

Kane and Mele predicted that in presence of spin-orbit interaction graphene realizes the quantum spin Hall state. However, exceptionally weak intrinsic spin-orbit splitting in graphene ($\approx 10^{-5}$ eV) inhibits experimental…

介观与纳米尺度物理 · 物理学 2013-06-18 Gabriel Autès , Oleg V. Yazyev
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