Topological to trivial insulating phase transition in stanene

Houssa, Michel; Broek, Bas van den; Iordanidou, Konstantina; Lu, Anh Khoa Augustin; Pourtois, Geoffrey; Locquet, Jean‐Pierre; Afanas’ev, Valery V.; Stesmans, André

doi:10.1007/s12274-015-0956-y

Cited by 36 publications

(25 citation statements)

References 23 publications

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“…Over the span of last decade the interest in such two-dimensional nanomaterials has expanded from hBN, BCN, graphene oxides to Chalcogenides (MoS 2 , MoSe 2 ) and other quasi-two-dimensional materials like stanene, phosphorene, silicene, sermanene, borophene etc. [11][12][13][14][15]. Among different such materials, as discussed above, hexagonal nanostructural form is a prominent structural configuration [4,16].…”

Section: Introductionmentioning

confidence: 99%

Probing the shear modulus of two-dimensional multiplanar nanostructures and heterostructures

et al. 2018

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Generalized high-fidelity closed-form formulae have been developed to predict the shear modulus of hexagonal graphene-like monolayer nanostructures and nano-heterostructures based on a physically insightful analytical approach. Hexagonal nano-structural forms (top view) are common for nanomaterials with monoplanar (such as graphene and hBN) and multiplanar (such as stanene and MoS) configurations. However, a single-layer nanomaterial may not possess a particular property adequately, or multiple desired properties simultaneously. Recently, a new trend has emerged to develop nano-heterostructures by assembling multiple monolayers of different nanostructures to achieve various tunable desired properties simultaneously. Shear modulus assumes an important role in characterizing the applicability of different two-dimensional nanomaterials and heterostructures in various nanoelectromechanical systems such as determining the resonance frequency of vibration modes involving torsion, wrinkling and rippling behavior of two-dimensional materials. We have developed mechanics-based closed-form formulae for the shear modulus of monolayer nanostructures and multi-layer nano-heterostructures. New results of shear modulus are presented for different classes of nanostructures (graphene, hBN, stanene and MoS) and nano-heterostructures (graphene-hBN, graphene-MoS, graphene-stanene and stanene-MoS), which are categorized on the basis of fundamental structural configurations. The numerical values of shear modulus are compared with the results from the scientific literature (as available) and separate molecular dynamics simulations, wherein a good agreement is noticed. The proposed analytical expressions will enable the scientific community to efficiently evaluate shear modulus of a wide range of nanostructures and nanoheterostructures.

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Section: Introductionmentioning

confidence: 99%

Probing the shear modulus of two-dimensional multiplanar nanostructures and heterostructures

et al. 2018

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“…Stanene is a counterpart of graphene for tin atoms [28][29][30] with low-buckled honeycomb geometry [31]. In contrast to graphene it has a larger spin-orbit coupling [32,33], can host the quantum spin Hall effect at room temperature for dissipationless electric currents [29], and its band structure, in particular, Dirac cone band gap, can be controlled with an out-ofplane electric field such that it exhibits a TPT between two-dimensional trivial and topological insulator (2DTI) phases depending on the applied electric field [27,[34][35][36]. 2D Sn has been fabricated recently by molecular beam epitaxy [37].…”

Section: Introductionmentioning

confidence: 99%

Topological phase transition in quantum-heat-engine cycles

2018

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We explore signatures of a topological phase transition (TPT) in the work and efficiency of a quantum heat engine, which uses a single layer topological insulator, stanene, in an external electric field as a working substance. The magnitude of the electric field controls the trivial and topological insulator phases of the stanene. The effect of TPT is investigated in two types of thermodynamic cycles, with and without adiabatic stages. We examine a quantum Otto cycle for the adiabatic and an idealized Stirling cycle for the non-adiabatic case. In both cycles, investigations are done for high and low temperatures. It is found that Otto cycle can distinguish the critical point of the TPT as an extremum point in the work output with respect to applied fields at all temperatures. Stirling cycle can identify the critical point of the TPT as the maximum work point with respect to the applied fields only at relatively lower temperatures. As temperatures increase towards the room temperature maximum work point of the Stirling cycle shifts away from the critical point of the TPT. In both cycles, increasing the temperature causes considerable enhancement in work and efficiency from the order of meV to eV.

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“…With a very large SOC gap and buckled height, stanene will show more interesting properties under electric and strain effects. Several papers have investigated the effects of an electric field or strain on stanene separately [26][27][28][29]; however, a systematic study of the electric field and strain effects on its electronic and topological properties has not been done yet. On the other hand, the electronic properties of graphene [30,31], silicene [24,32,33] and germanene [34,35] nanoribbons with hydrogen-passivated edges have been extensively investigated.…”

Section: Introductionmentioning

confidence: 99%

Systematic study on stanene bulk states and the edge states of its zigzag nanoribbon

Abid

Liu

2017

New J. Phys.

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Stanene, as a counterpart of graphene, but with much larger spin-orbit coupling (SOC) strength, has recently been synthesized experimentally. Based on first principle calculations and an effective model, we systematically study the electronic and topological properties of bulk stanene under vertical electric field and biaxial strain, which can be naturally introduced by substrates. We find that a topological nontrivial-trivial transition occurs under a critical vertical electric field and an insulator-metal transition happens under critical biaxial strains. We also systematically study the edge state of zigzag nanoribbons. We find that the topological edge state has strong nonlinear dispersion that is different from the previous oversimplified tight-binding (TB) model. A much more practical TB model is built, which captures the strongly nonlinear dispersion of the edge states very well. We investigate four magnetic configurations of the zigzag ribbon edge states in detail and find that the emergence of magnetism for the edge atoms and the magnetization direction have a remarkable impact on the spincurrent-carrying edge channels. Furthermore, a half-metallic state can be induced in stanene nanoribbons by applying a transverse electric field, and opposite spin channels can be chosen by reversing the electric field direction. Our results are instructive for future research and applications on stanene and other related buckled systems.

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Topological to trivial insulating phase transition in stanene

Cited by 36 publications

References 23 publications

Probing the shear modulus of two-dimensional multiplanar nanostructures and heterostructures

Probing the shear modulus of two-dimensional multiplanar nanostructures and heterostructures

Topological phase transition in quantum-heat-engine cycles

Systematic study on stanene bulk states and the edge states of its zigzag nanoribbon

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