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We investigate the effect of spin-orbit coupling on the band structure of graphene-based two-dimensional Dirac fermion gases in the quantum Hall regime. Taking monolayer graphene as our first candidate, we show that a quantum phase…

Mesoscale and Nanoscale Physics · Physics 2013-06-11 Pierre Carmier , Oleksii Shevtsov , Christoph Groth , Xavier Waintal

The quantum spin Hall insulator bismuthene, a two-third monolayer of bismuth on SiC(0001), is distinguished by helical metallic edge states that are protected by a groundbreaking 800 meV topological gap, making it ideal for room temperature…

Materials Science · Physics 2025-02-04 Lukas Gehrig , Cedric Schmitt , Jonas Erhardt , Bing Liu , Tim Wagner , Martin Kamp , Simon Moser , Ralph Claessen

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…

Strongly Correlated Electrons · Physics 2014-08-26 Martin Bercx , Martin Hohenadler , Fakher F. Assaad

The possible emergence of a spin liquid phase in the half-filled Hubbard model on the honeycomb lattice; a simple model of graphene, is studied using the variational cluster approximation. We found that the critical interaction strength of…

Strongly Correlated Electrons · Physics 2017-02-24 Atsushi Yamada

We provide a novel setup for generalizing the two-dimensional pseudospin S=1/2 Dirac equation, arising in graphene's honeycomb lattice, to general pseudospin-S. We engineer these band structures as a nearest-neighbor hopping Hamiltonian…

Quantum Gases · Physics 2011-11-14 Balázs Dóra , Janik Kailasvuori , Roderich Moessner

Silicene is a monolayer of silicon atoms forming a two-dimensional honeycomb lattice, which shares almost every remarkable property with graphene. The low energy structure of silicene is described by Dirac electrons with relatively large…

Mesoscale and Nanoscale Physics · Physics 2012-08-08 Motohiko Ezawa

Two-dimensional stanene is a promising candidate material for realizing room-temperature quantum spin Hall (QSH) effect. Monolayer stanene has recently been fabricated by molecular beam epitaxy, but shows metallic features on…

Materials Science · Physics 2015-08-26 Yong Xu , Peizhe Tang , Shou-Cheng Zhang

The so-called spin-orbit proximity effect experimentally realized in graphene (G) on several different heavy metal surfaces opens a new perspective to engineer the spin-orbit coupling (SOC) for new generation spintronics devices. Here, via…

Materials Science · Physics 2019-07-10 Jagoda Slawinska , Jorge I. Cerdá

Graphene consists in a single-layer carbon crystal where 2$p_z$ electrons display a linear dispersion relation in the vicinity of the Fermi level, conveniently described by a massless Dirac equation in $2+1$ spacetime. Spin-orbit effects…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 B. Berche , F. Mireles , E. Medina

We propose a powerful method of controlling interaction between silicene and a substrate utilizing quantum size effect, which allows to grow silicene with tailored electronic properties. As an example we consider silicene on ultrathin…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 A. Podsiadły-Paszkowska , M. Krawiec

The electronic properties of graphene can be manipulated via mechanical deformations, which opens prospects for studying the Dirac fermions in new regimes and for new device applications. Certain natural configurations of strain generate…

Mesoscale and Nanoscale Physics · Physics 2012-08-10 D. A. Abanin , D. A. Pesin

We start with the silicene or germanene single-particle Hamiltonian in buckled 2D hexagonal lattices expressed in terms of Dirac matrices in the Weyl basis. The Hamiltonian of these systems comprises of the Dirac kinetic energy, a mass gap…

Mesoscale and Nanoscale Physics · Physics 2014-05-20 Partha Goswami

We investigate a well defined heterostructure constituted by magnetic Fe layers sandwiched between graphene (Gr) and Ir(111). The challenging task to avoid Fe-C solubility and Fe-Ir intermixing has been achieved with atomic controlled Fe…

Field theory arguments suggest the possibility of $\mathbb{Z}$-classification of quantum spin Hall effect with magnetic flux tubes, that cause separation of spin and charge degrees of freedom, and pumping of spin or Kramers pair. However,…

Mesoscale and Nanoscale Physics · Physics 2022-09-28 Alexander C. Tyner , Pallab Goswami

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…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 N. Goldman , W. Beugeling , C. Morais Smith

Interactions between stacked two-dimensional (2D) atomic crystals can radically change their properties, leading to essentially new materials in terms of the electronic structure. Here we show that monolayers placed on an atomically flat…

Heterostructures of Dirac materials such as graphene and topological insulators provide interesting platforms to explore exotic quantum states of electrons in solids. Here we study the electronic structure of graphene-Sb2Te3 heterostructure…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Kyung-Hwan Jin , Seung-Hoon Jhi

In recent years, silicene, germanene, and stanene have received considerable attention due to their possibilities to show a spin Hall effect. Nanoribbons made of these materials are expected to have topologically protected states. In this…

Mesoscale and Nanoscale Physics · Physics 2023-07-26 C. A. Büsser

Superlattices (SLs) in monolayer and bilayer graphene, formed by spatially periodic potential variations, lead to a modified bandstructure with extra finite-energy and zero-energy Dirac fermions with tunable anisotropic velocities. We…

Mesoscale and Nanoscale Physics · Physics 2012-05-14 Si Wu , Matthew Killi , Arun Paramekanti

We report calculations of the electronic structure of silicene and the stability of its weakly buckled honeycomb lattice in an external electric field oriented perpendicular to the monolayer of Si atoms. We find that the electric field…

Mesoscale and Nanoscale Physics · Physics 2012-02-23 N. D. Drummond , V. Zolyomi , V. I. Fal'ko