Quantum spin Hall phase in 2D trigonal lattice

Wang, Z. F.; Jin, Kyung-Hwan; Liu, Feng

doi:10.1038/ncomms12746

Cited by 52 publications

(46 citation statements)

References 42 publications

(52 reference statements)

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“…Previous experimental and theoretical studies have shown the feasibility of Au to form a long-range ordered monolayer on different compound surfaces, which potentially realizes exotic electronic states [37][38][39]. In Ca 2 N the two layers of inter-penetrating Ca triangular lattice form a honeycomb lattice, and according to our first principles calculations [40][41][42][43] (Computational details can be found in [18]), the energetically favorable site for Au adsorption is the hollow site of the hexagons (on top of N atoms), as shown in FIG.…”

Section: E E H K T E E T E E T E E T E Ementioning

confidence: 99%

Kagome bands disguised in a coloring-triangle lattice

et al. 2019

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The Kagome bands hosting exotic quantum phases are generally and understandably pertained only to a Kagome lattice. This has severely hampered the research of Kagome physics due to the lack of real Kagome-lattice materials.Interestingly we discover that a coloring-triangle (CT) lattice, named after color-triangle tiling, hosts also Kagome bands. We demonstrate first theoretically the equivalency between the Kagome and CT lattice, and then computationally in photonic (waveguide lattice) and electronic (Au overlayer on electride Ca 2 N surface) systems by respective finite-element and first-principles calculations. The theory can be generalized to even distorted Kagome and CT lattices to exhibit ideal Kagome bands. Our findings open a new avenue to explore the alluding Kagome physics.

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Section: E E H K T E E T E E T E E T E Ementioning

confidence: 99%

Kagome bands disguised in a coloring-triangle lattice

et al. 2019

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“…We consider a generic atomic-basis TB model with three orbitals (s, p x , p y ) per site [16,17,19],…”

Section: Modelmentioning

confidence: 99%

Comparison of quantum spin Hall states in quasicrystals and crystals

Huang

Liu

2019

Phys. Rev. B

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We theoretically study the quantum spin Hall states in an Ammann-Beenker-type octagonal quasicrystal and a periodic snub-square crystal, both sharing the same basic building blocks. Although the bulk states show significant differences in localization and transport properties, the topological phases manifest similarly in the two systems. This indicates the robustness of the topological properties regardless of symmetry and periodicity. We characterize the topological nature of the two systems with a nonzero topological invariant (spin Bott index B s and Z 2 invariant), robust metallic edge states, and quantized conductance. In spite of some quantitative differences, the topological phase diagram of the two systems also exhibits similar behaviors, indicating that the topological phase transition is mainly determined by similar interactions in the two systems regardless of their structural difference. This is also reflected by the observation that the transition point between the normal insulator and the quantum spin Hall state in both systems follows a universal linear scaling relation for topological phase transitions.

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“…As shown in figure 1(a), the (s, p x , p y ) basis is considered to be the 'minimal basis' to construct TIs and is also assumed to be the low-energy effective orbitals for semiconductor surface adsorbed by metal adatoms [12,28] where σ ss , σ pp and σ sp are σ-type hopping between s-s, p-p and s-p respectively, π pp is the π-type hopping between p-p.…”

Section: Tight Binding Modelmentioning

confidence: 99%

“…The other is the hexagonal lattice which derives three kinds of lattices: honeycomb, trigonal and Kagome lattice. All of these three lattices can host TI in the free-standing limit [5][6][7][8][9][10][11][12][13]. However, free-standing materials do not exist in nature.…”

Section: Introductionmentioning

confidence: 99%

Surface alloy engineering in 2D trigonal lattice: giant Rashba spin splitting and two large topological gaps

et al. 2018

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We demonstrate that sp 2 based trigonal lattice can exhibit giant Rashba splitting and two large topological gaps simultaneously. First, an effective tight binding model is developed to describe the Rashba spin-orbit coupling (SOC) on a real surface and give a topological phase diagram based on two independent SOC parameters. Second, based on density functional theory calculations, it is proposed that Au/Si(111)-3 3surface with 1/3 monolayer Bi coverage is a good material candidate to realize both giant Rashba splitting and two large topological gaps. These results would inspire great research interests for searching two-dimensional topological insulator and manipulating Rashba spin splitting through surface alloy engineering.

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Quantum spin Hall phase in 2D trigonal lattice

Cited by 52 publications

References 42 publications

Kagome bands disguised in a coloring-triangle lattice

Kagome bands disguised in a coloring-triangle lattice

Comparison of quantum spin Hall states in quasicrystals and crystals

Surface alloy engineering in 2D trigonal lattice: giant Rashba spin splitting and two large topological gaps

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