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We show that a slab of a three-dimensional inversion-symmetric higher-order topological insulator (HOTI) in class A is a 2D Chern insulator, and that in class AII is a 2D $Z_2$ topological insulator. We prove it by considering a process of…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Ryo Takahashi , Yutaro Tanaka , Shuichi Murakami

We present a $4'/m'$-respecting crisscross AFM model in 2D and 3D, both belonging to the $Z_2$ classification and exhibiting interesting magnetic high-order topological insulating (HOTI) phases. The topologically nontrivial phase in the 2D…

Strongly Correlated Electrons · Physics 2019-12-30 Jinyu Zou , Zhuoran He , Gang Xu

We study transport properties of a topological insulator nanowire when a magnetic field is applied along its length. We predict that with strong surface disorder, a characteristic signature of the band topology is revealed in Aharonov Bohm…

Mesoscale and Nanoscale Physics · Physics 2011-06-15 Yi Zhang , Ashvin Vishwanath

We have measured highly visible Aharonov-Bohm (AB) oscillations in a ring structure defined by local anodic oxidation on a p-type GaAs heterostructure with strong spin-orbit interactions. Clear beating patterns observed in the raw data can…

Mesoscale and Nanoscale Physics · Physics 2007-10-31 Boris Grbic , Renaud Leturcq , Thomas Ihn , Klaus Ensslin , Dirk Reuter , Andreas D. Wieck

We use spin-density-functional theory within an envelope function approach to calculate electronic states in a GaAs/InAs core-shell nanowire pierced by an axial magnetic field. Our fully 3D quantum modeling includes explicitly the…

Mesoscale and Nanoscale Physics · Physics 2015-03-31 Miquel Royo , Carlos Segarra , Andrea Bertoni , Guido Goldoni , Josep Planelles

We demonstrate operation of a small Fabry-Perot interferometer in which highly coherent Aharonov-Bohm oscillations are observed in the integer and fractional quantum Hall regimes. Using a novel heterostructure design, Coulomb effects are…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 James Nakamura , Saeed Fallahi , Harshad Sahasrabudhe , Rajib Rahman , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

Using extensive tight-binding calculations, we investigate (including the spin) the Aharonov-Bohm (AB) effect in monolayer and bilayer trigonal and hexagonal graphene rings with zigzag boundary conditions. Unlike the previous literature, we…

Mesoscale and Nanoscale Physics · Physics 2012-04-19 Igor Romanovsky , Constantine Yannouleas , Uzi Landman

I consider higher-order topological insulator (HOTI) created in chi(2) nonlinear medium and based on two-dimensional generalization of the Su-Schrieffer-Heeger waveguide array, where transition between trivial and topological phases is…

Optics · Physics 2025-03-03 Yaroslav V. Kartashov

It is commonly believed that the Aharonov-Bohm (AB) effect is a typical feature of the motion of a charged particle interacting with the electromagnetic vector potential. Here we present a magnetophotoluminescence study of type-II InP/GaAs…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Ribeiro , G. Medeiros-Ribeiro , W. Carvalho , A. O. Govorov

Three-dimensional higher-order topological insulators can have topologically protected chiral modes propagating on their hinges. Hinges with two co-propagating chiral modes can serve as a "beam splitter" between hinges with only a single…

Mesoscale and Nanoscale Physics · Physics 2023-01-25 Adam Yanis Chaou , Piet W. Brouwer , Nicholas Sedlmayr

The interaction of a magnetic insulator with the helical electronic edge of a two-dimensional topological insulator has been shown to lead to many interesting phenomena. One of these is that for a suitable orientation of the magnetic…

Mesoscale and Nanoscale Physics · Physics 2021-03-25 Kevin A. Madsen , Piet W. Brouwer , Patrik Recher , Peter G. Silvestrov

Higher order topological insulators (HOTIs) are a novel form of insulating quantum matter, which are characterized by having gapped boundaries that are separated by gapless corner or hinge states. Recently, it has been proposed that the…

Strongly Correlated Electrons · Physics 2021-08-25 Julian May-Mann , Taylor L. Hughes

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

The surface of a higher order topological insulator (HOTI) comprises a two-dimensional topological insulator (TI) with broken inversion symmetry, whose mass is determined by the microscopic details of the surface such as surface potentials…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Raquel Queiroz , Ady Stern

Higher-order topological insulators (HOTIs) are a novel type of topological phases which supports $d$-dimensional topological boundary states in $D$-dimensional systems with $D-d>1$. In this work, we theoretically predict that interlayer…

Mesoscale and Nanoscale Physics · Physics 2024-01-05 Jiang Yao , Linhu Li

Neutral excitons in strained axially symmetric In(Ga)As/GaAs quantum dots with ringlike shape are investigated. Similar to experimental self-assembled quantum rings, the analyzed quantum dots have volcano-like shapes. The continuum…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Vladimir V. Arsoski , Milan Ž. Tadić , François M. Peeters

We propose a new correlated topological state which we call a higher-order topological Mott insulator (HOTMI). This state exhibits a striking bulk-boundary correspondence due to electron correlations. Namely, the topological properties in…

Strongly Correlated Electrons · Physics 2019-11-13 Koji Kudo , Tsuneya Yoshida , Yasuhiro Hatsugai

Electronic topological phases are renowned for their unique properties, where conducting surface states exist on the boundary of an insulating three-dimensional bulk. While the transport response of the surface states has been extensively…

We theoretically explore higher-order topological magnons in collinear altermagnets, encompassing a dimensional hierarchy ranging from localized corner modes to propagating hinge excitations. By employing antiferromagnetic interlayer…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Xuan Guo , Meng-Han Zhang , Dao-Xin Yao

We analyze theoretically the bound state spectrum of an Aharonov Bohm (AB) ring in a two-dimensional topological insulator using the four-band model of HgTe-quantum wells as a concrete example. We calculate analytically the circular helical…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 Paolo Michetti , Patrik Recher