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Graphene is famous for being a host of 2D Dirac fermions. However, spin-orbit coupling introduces a small gap, so that graphene is formally a quantum spin hall insulator. Here we present symmetry-protected 2D Dirac semimetals, which feature…

Materials Science · Physics 2015-09-23 Steve M. Young , Charles L. Kane

We consider bilayer graphene in the presence of spin orbit coupling, to assess its behavior as a topological insulator. The first Chern number $n$ for the energy bands of single and bilayer graphene is computed and compared. It is shown…

Mesoscale and Nanoscale Physics · Physics 2011-07-18 E. Prada , P. San-Jose , L. Brey , H. A. Fertig

We consider a junction between two topological insulators, and calculate the properties of the interface states with an effective low energy Hamiltonian for topological insulators with a single cone on the surface. This system bears a close…

Mesoscale and Nanoscale Physics · Physics 2013-03-14 Christophe De Beule , Bart Partoens

We present a comprehensive theoretical study of the static spin response in HgTe quantum wells, revealing distinctive behavior for the topologically nontrivial inverted structure. Most strikingly, the q=0 (long-wave-length) spin…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 T. Kernreiter , M. Governale , U. Zülicke , E. M. Hankiewicz

The energy-momentum relationship of electrons on the surface of an ideal "Hydrogen-Atom" Topological Insulator forms a cone - a Dirac cone, which, when warped and distorted (no longer described by the Dirac equation), can lead to unusual…

Mesoscale and Nanoscale Physics · Physics 2009-12-31 M. Z. Hasan , H. Lin , A. Bansil

Our proposed spin valve prototype showcases a sophisticated design featuring a two-dimensional graphene bilayer positioned between layers of ${CrBr}_3$ ferromagnetic insulators. In this model, proximity coupling plays a pivotal role,…

Mesoscale and Nanoscale Physics · Physics 2025-11-12 S. K. Behera , P. C. Ramamurthy

Topology is familiar mostly from mathematics, but also natural sciences have found its concepts useful. Those concepts have been used to explain several natural phenomena in biology and physics, and they are particularly relevant for the…

Mesoscale and Nanoscale Physics · Physics 2013-06-04 Stas M. Avdoshenko , Pekka Koskinen , Haldun Sevincli , Alexey Popov , Claudia Rocha

A key feature of topological insulators is the robustness of the electron energy spectrum. At a surface of a topological insulator, Dirac point is protected by the characteristic symmetry of the system. The breaking of the symmetry opens a…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 S. Stagraczynski , L. Chotorlishvili , V. K. Dugaev , C. -L. Jia , A. Ernst , A. Komnik , J. Berakdar

The surfaces of intrinsic magnetic topological insulators (TIs) host magnetic moments exchange-coupled to Dirac electrons. We study the magnetic phases arising from tuning the electron density using variational and exact diagonalization…

Mesoscale and Nanoscale Physics · Physics 2021-08-23 Nisarga Paul , Liang Fu

We address the nature of spin-orbit torques at the magnetic surfaces of topological insulators, using both Kubo formula and Keldysh formalism. Through the analysis of the derived spin-charge equations, we find that the so-called Dirac…

Mesoscale and Nanoscale Physics · Physics 2017-07-11 P. B. Ndiaye , C. A. Akosa , M. H. Fischer , A. Vaezi , E-A. Kim , A. Manchon

Electron-electron interactions play an important role in graphene and related systems and can induce exotic quantum states, especially in a stacked bilayer with a small twist angle. For bilayer graphene where the two layers are twisted by a…

Inducing sizable spin--orbit interactions in graphene by proximity effect is establishing as a successful route to harnessing two-dimensional Dirac fermions for spintronics. Semiconducting transition metal dichalcogenides (TMDs) are an…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Manuel Offidani , Aires Ferreira

3D topological insulators, similar to the Dirac material graphene, host linearly dispersing states with unique properties and a strong potential for applications. A key, missing element in realizing some of the more exotic states in…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Yoshinori Okada , Wenwen Zhou , D. Walkup , Chetan Dhital , S. D. Wilson , V. Madhavan

We investigate topological properties of models that describe graphene on realistic substrates which induce proximity spin-orbit coupling in graphene. A $\mathbb{Z}_2$ phase diagram is calculated for the parameter space of (generally…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Tobias Frank , Petra Högl , Martin Gmitra , Denis Kochan , Jaroslav Fabian

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

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…

Mesoscale and Nanoscale Physics · Physics 2019-04-05 K. Hatsuda , H. Mine , T. Nakamura , J. Li , R. Wu , S. Katsumoto , J. Haruyama

The effects of intrinsic spin-orbit and Coulomb interactions on low-energy properties of finite width graphene armchair ribbons are studied by means of a Dirac Hamiltonian. It is shown that metallic states subsist in the presence of…

Strongly Correlated Electrons · Physics 2012-02-01 Mahdi Zarea , Nancy Sandler

Graphene is an interesting material for spintronics, showing long spin relaxation lengths even at room temperature. For future spintronic devices it is important to understand the behavior of the spins and the limitations for spin transport…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 M. H. D. Guimaraes , J. J. van den Berg , I. J. Vera-Marun , P. J. Zomer , B. J. van Wees

Decrease of spin polarization in spintronics devices under an application of bias voltage is one of currently important problems which should be solved. We reveal unprecedented robustness of spin polarization in multi-layer graphene spin…

Materials Science · Physics 2009-11-05 Masashi Shiraishi , Megumi Ohishi , Ryo Nouchi , Takayuki Nozaki , Teruya Shinjo , Yoshishige Suzuki

Topological insulators interacting with magnetic impurities have been reported to host several unconventional effects. These phenomena are described within the framework of gapping Dirac quasiparticles due to broken time-reversal symmetry.…