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Related papers: RKKY interaction in helical higher-order topologic…

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In this work, we study the disorder effects on the bulk-boundary correspondence of two-dimensional higher-order topological insulators (HOTIs). We concentrate on two cases: (i) bulk-corner correspondence, (ii) edge-corner correspondence.…

Disordered Systems and Neural Networks · Physics 2021-09-13 Yu-Song Hu , Yue-Ran Ding , Jie Zhang , Zhi-Qiang Zhang , Chui-Zhen Chen

We establish an analytic low-energy theory describing higher-order topological insulator (HOTI) phases in quasicrystalline systems. We apply this to a model consisting of two stacked Haldane models with oppositely propagating edge modes,…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Stephen Spurrier , Nigel R. Cooper

Quantum spin Hall insulators (QSHIs) are promising for spintronics, leveraging strong spin-orbit coupling for efficient spin manipulation via electrical and optical methods, with potential applications in memory storage, quantum computing,…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Mohsen Yarmohammadi , Saeed Rahmanian Koshkaki , Jamal Berakdar , Marin Bukov , Michael H. Kolodrubetz

We study the RKKY interaction of magnetic impurities in the $\alpha-\mathcal{T}_3$ model which hosts pseudospin-1 fermions with two dispersive and one flat bands. By using the effective low-energy Hamiltonian we calculate the RKKY coupling…

Strongly Correlated Electrons · Physics 2020-07-01 D. O. Oriekhov , V. P. Gusynin

The interaction between two impurity spins provides vital information about the host system and has been suggested to form a building block in quantum computation and spintronic devices. We here determine this Ruderman-Kittel-Kasuya-Yosida…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Morten Amundsen , Arne Brataas , Jacob Linder

We study the Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction mediated by helical edge states in quantum spin hall system. The helical edge states induce an in-plane noncollinear exchange coupling between two local spins, in contrast to…

Mesoscale and Nanoscale Physics · Physics 2011-05-05 Jinhua Gao , Weiqiang Chen , X. C. Xie , Fu-chun Zhang

The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between magnetic impurities, mediated by Dirac surface states on the surface of a topological insulator, leads to impurities ferromagnetic ordering. We present a self-consistent theory of…

Mesoscale and Nanoscale Physics · Physics 2014-03-28 D. K. Efimkin , V. Galitski

In two dimensional honeycomb ferromagnets, bosonic magnon quasiparticles (spin waves) may either behave as massless Dirac fermions or form topologically protected edge states. The key ingredient defining their nature is the next-nearest…

Strongly Correlated Electrons · Physics 2018-11-21 Lebing Chen , Jae-Ho Chung , Bin Gao , Tong Chen , Matthew B. Stone , Alexander I. Kolesnikov , Qingzhen Huang , Pengcheng Dai

Higher-order topological insulators have a modified bulk-boundary correspondence compared to other topological phases: instead of gapless edge or surface states, they have gapped edges and surfaces, but protected modes at corners or hinges.…

Strongly Correlated Electrons · Physics 2018-12-12 Yizhi You , Trithep Devakul , F. J. Burnell , Titus Neupert

The Dzyaloshinskii-Moriya (DM) interaction, as well as symmetric anisotropic exchange, are important ingredients for stabilizing topologically non-trivial magnetic textures, such as, e.g., skyrmions, merons and hopfions. These types of…

The RKKY interaction between rare-earth (RE) ions in high-$T_c$ superconductors is considered at $T\ll T_c$. It is shown that this interaction consists of two terms: conventional oscillating one and the positive term, which is proportional…

Condensed Matter · Physics 2009-10-28 D. N. Aristov , S. V. Maleyev , A. G. Yashenkin

We study the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction in p-doped transition metal dichalcogenides such as MoS$_2$ and WS$_2$. We consider magnetic impurities hybridized to the Mo d-orbitals characteristic of the valence bands. Using…

Mesoscale and Nanoscale Physics · Physics 2014-10-13 D. Mastrogiuseppe , N. Sandler , S. Ulloa

We investigate the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction between two spins located at two quantum dots embedded in an Aharonov-Bohm (AB) ring. In such a system the RKKY interaction, which oscillates as a function of the distance…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yasuhiro Utsumi , Jan Martinek , Patrick Bruno , Hiroshi Imamura

We investigate the Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction arising from the hyperfine coupling between localized nuclear spins and conduction electrons in interacting $^{13}$C carbon nanotubes. Using the Luttinger liquid formalism,…

Mesoscale and Nanoscale Physics · Physics 2015-12-23 Chen-Hsuan Hsu , Peter Stano , Jelena Klinovaja , Daniel Loss

Topological materials occupy the central stage in the modern condensed matter physics because of their robust metallic edge or surface states protected by the topological invariant, characterizing the electronic band structure in the bulk.…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Bitan Roy , Vladimir Juricic

Nonzero weak topological indices are thought to be a necessary condition to bind a single helical mode to lattice dislocations. In this work we show that higher-order topological insulators (HOTIs) can, in fact, host a single helical mode…

Mesoscale and Nanoscale Physics · Physics 2019-12-30 Raquel Queiroz , Ion Cosma Fulga , Nurit Avraham , Haim Beidenkopf , Jennifer Cano

Proposals for novel spin-orbitronic logic1 and memory devices2 are often predicated on assumptions as to how materials with large spin-orbit coupling interact with ferromagnets when in contact. Such interactions give rise to a host of novel…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 Hans T. Nembach , Justin M. Shaw , Mathias Weiler , Emilie Jué , Thomas J. Silva

The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the $d$-dimension insulating bulk is confined to ($d-1$)-dimensions, led to several potential applications. Recently, it…

I analyze electron transport through a Y-junction formed by helical edge states of a two-dimensional topological insulator (2DTI), focusing on the strongly interacting regime. An experimentally motivated device geometry and a…

Mesoscale and Nanoscale Physics · Physics 2025-09-09 E. Novais

Topological materials are typically characterized by gapless boundary states originated from nontrivial bulk band topology, known as topological bulk-boundary correspondence. Recently, this fundamental concept has been generalized in…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 D. M. Zhao , Y. Zhong , T. Yuan , H. T. Wang , T. X. Jiang , Y. Qi , H. J. Xiang , X. G. Gong , D. L. Feng , T. Zhang