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Spin interactions of magnetic impurities mediated by conduction electrons is one of the most interesting and potentially useful routes to ferromagnetism in condensed matter. In recent years such systems have received renewed attention due…

Strongly Correlated Electrons · Physics 2019-01-23 Sahinur Reja , H. A. Fertig , L. Brey

Starting from the Dirac equation, the relativistic quantum hydrodynamic equations for Dirac electrons on a surface of a three dimensional-topological insulator (TI) are derived and numerically solved to study the spin plasmons. The surface…

Mesoscale and Nanoscale Physics · Physics 2014-05-27 Ya Zhang , Jianwei Cui , Wei Jiang , Lin Yi

Coupling of the spin and orbital degrees of freedom on the surface of a strong three-dimensional insulator, on the one hand, and textured magnetic configuration in an adjacent ferromagnetic film, on the other, is studied using a combination…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Yaroslav Tserkovnyak , D. A. Pesin , Daniel Loss

The surface of a topological insulator hosts Dirac electronic states with the spin-momentum locking, which constrains spin orientation perpendicular to electron momentum. As a result, collective plasma excitations in the interacting Dirac…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 Dmitry K. Efimkin , Mehdi Kargarian

The low-energy excitations in many condensed matter and metamaterial systems can be well described by the Dirac equation. The mass term associated with these collective excitations, also known as the Dirac mass, can take any value and is…

Mesoscale and Nanoscale Physics · Physics 2022-09-27 Gengming Liu , Jiho Noh , Jianing Zhao , Gaurav Bahl

The surface states of a topological insulator are described by an emergent relativistic massless Dirac equation in 2+1 dimensions. In contrast to graphene, there is an odd number of Dirac points, and the electron spin is directly coupled to…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Qin Liu , Chao-Xing Liu , Cenke Xu , Xiao-Liang Qi , Shou-Cheng Zhang

Topological magnons are bosonic analogues of topological fermions in electronic systems. They have been studied extensively by theory but rarely realized by experiment. Here, by performing inelastic neutron scattering measurements on single…

Using polarization-resolved resonant Raman spectroscopy, we explore collective spin excitations of the chiral surface states in a three dimensional topological insulator, Bi$_2$Se$_3$. We observe a sharp peak at 150 meV in the pseudovector…

Materials Science · Physics 2017-10-04 H. -H. Kung , S. Maiti , X. Wang , S. -W. Cheong , D. L. Maslov , G. Blumberg

We study a system of Dirac electrons with finite density of charge carriers coupled to an external electromagnetic field in two spatial dimensions, with a domain wall (DW) mass term. The interface between a thin-film ferromagnet and a…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Yago Ferreiros , F. J. Buijnsters , M. I. Katsnelson

We highlight the fact that two-dimensional materials with Dirac-like low energy band structures and spin-orbit coupling will produce linearly dispersing topologically protected Jackiw-Rebbi modes at interfaces where the Dirac mass changes…

Mesoscale and Nanoscale Physics · Physics 2014-11-11 D. S. L. Abergel , Jonathan M. Edge , Alexander V. Balatsky

The motion of a relativistic particle is linked to its spin by the Dirac equation. Remarkably, electrons in two-dimensional materials can mimic such Dirac particles but must always appear in pairs of opposite spin chirality. Using…

Mesoscale and Nanoscale Physics · Physics 2009-09-24 Kenjiro K. Gomes , Wonhee Ko , Warren Mar , Yulin Chen , Zhi-Xun Shen , Hari C. Manoharan

We study the effects of extended and localized potentials and a magnetic field on the Dirac electrons residing at the surface of a three-dimensional topological insulator. We use a lattice model to numerically study the various states; we…

Mesoscale and Nanoscale Physics · Physics 2015-06-19 Ranjani Seshadri , Diptiman Sen

Topological magnon insulators constitute a growing field of research for their potential use as information carriers without heat dissipation. We report an experimental and theoretical study of the magnetic ground-state and excitations in…

Strongly Correlated Electrons · Physics 2022-07-19 C. Wessler , B. Roessli , K. W. Krämer , U. Stuhr , A. Wildes , H. B. Braun , M. Kenzelmann

When interacting spins in condensed matter order ferromagnetically, their ground state wave function is topologically trivial. Nonetheless, in two dimensions, the ferromagnetic state can support spin excitations with nontrivial topology, an…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Alexander Mook , Sebastián A. Díaz , Jelena Klinovaja , Daniel Loss

Topological magnons are emergent quantum spin excitations featured by magnon bands crossing linearly at the points dubbed nodes, analogous to fermions in topological electronic systems. Experimental realization of topological magnons in…

The discovery of two-dimensional topological photonic systems has transformed our views on electromagnetic propagation and scattering of classical waves, and a quest for similar states in three dimensions, known to exist in condensed matter…

The relativistic Dirac equation covers the fundamentals of electronic phenomena in solids and as such it effectively describes the electronic states of the topological insulators like Bi$_2$Se$_3$ and Bi$_2$Te$_3$. Topological insulators…

Strongly Correlated Electrons · Physics 2022-11-24 Hiroki Isobe , Naoto Nagaosa

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

Topological insulators are a class of solids in which the nontrivial inverted bulk band structure gives rise to metallic surface states that are robust against impurity scattering. In three-dimensional (3D) topological insulators, however,…

The interplay of photon spin and orbital angular momentum (OAM) in the optical fiber (1D waveguide) has recently risen to the forefront of quantum nanophotonics. Here, we introduce the fermionic dual of the optical fiber, the Dirac wire,…

Quantum Physics · Physics 2019-10-09 Farhad Khosravi , Todd Van Mechelen , Zubin Jacob
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