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Related papers: Topological routing in Chern insulators

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Conventional Chern insulators are two-dimensional periodic structures that support unidirectional edge states at the boundary, while the wave propagation in the bulk regions is forbidden. The number of unidirectional edge states is governed…

Optics · Physics 2024-11-22 João C. Serra , Mário G. Silveirinha

The existence of robust chiral edge states in a finite topologically nontrivial chern insulator is a consequence of the bulk-boundary correspondence. In this paper, we present a theoretical framework based on lattice Green's function to…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 M. Soltani , M. Amini

We explore the chiral transmission of electrons across graphene heterojunctions for electronic switching using gate geometry alone. A sequence of gates is used to collimate and orthogonalize the chiral transmission lobes across multiple…

Mesoscale and Nanoscale Physics · Physics 2013-12-20 Redwan N. Sajjad , Avik W. Ghosh

Chiral superconductors are one of the predominant quantum electronic states of matter where topology, symmetry, and Fermiology intertwine. This is pushed to a new limit by further invoking the coupling between spin and charge degrees of…

Strongly Correlated Electrons · Physics 2024-10-10 Matthew Bunney , Jacob Beyer , Ronny Thomale , Carsten Honerkamp , Stephan Rachel

Topological insulators are a novel state of matter that share a common feature: their spectral bands are associated with a nonlocal integer-valued index, commonly manifesting through quantized bulk phenomena and robust boundary effects. In…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Ioannis Petrides , Oded Zilberberg

We numerically study amorphous analogues of a two-dimensional photonic Chern insulator. The amorphous lattices consist of gyromagnetic rods that break time-reversal symmetry, with the lattice sites generated by a close-packing algorithm.…

Optics · Physics 2017-09-20 Shampy Mansha , Y. D. Chong

A photonic Floquet topological insulator has previously been experimentally realized in an array of evanescently-coupled helical waveguides. In the topological regime probed by that experiment, the chirality of the single topological edge…

Semiconductor heterostructures with prescribed energy dependence of the transmittance can be designed by combining: {\em a)} Pad\'e approximant reconstruction of the S-matrix; {\em b)} inverse scattering theory for Schro\"dinger's equation;…

Condensed Matter · Physics 2009-10-28 Daniel Bessis , Giorgio Mantica , G. Andrei Mezincescu , Daniel Vrinceanu

In condensed matter physics many features can be understood in terms of their topological properties. Here we report evidence of a topological quantum transition driven by the charge-phonon coupling in the spinless Haldane model on a…

Strongly Correlated Electrons · Physics 2019-07-31 L. M. Cangemi , A. S. Mishchenko , N. Nagaosa , V. Cataudella , G. De Filippis

We theoretically and numerically investigate Chern vector insulators and topological surface states in a three-dimensional lattice, based on phase-delayed temporal-periodic interactions within the tight-binding model. These Floquet…

Materials Science · Physics 2024-12-10 Fangyuan Ma , Junrong Feng , Feng Li , Ying Wu , Di Zhou

Higher-order topological insulators, as a novel family of topological phases, are a hot frontier in condensed matter physics due to their adherence to unconventional bulk-boundary correspondence. A three-dimensional second-order topological…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 Han-Rong Xia , Jia-Zheng Li , Si-Yu Yuan , Meng Xiao

Two-dimensional topological insulators possess two counter propagating edge channels with op- posite spin direction. Recent experimental progress allowed to create ferromagnetic topological insulators realizing a quantum anomalous Hall…

Mesoscale and Nanoscale Physics · Physics 2019-09-06 Matthias Götte , Michael Joppe , Thomas Dahm

The Haldane model on a honeycomb lattice is a paradigmatic example of a system featuring quantized Hall conductivity in the absence of an external magnetic field, that is, a quantum anomalous Hall effect. Recent theoretical work predicted…

Mesoscale and Nanoscale Physics · Physics 2018-08-15 Luis M. Canonico , José H. García , Tatiana G. Rappoport , Aires Ferreira , R. B. Muniz

Commonly, a two-dimensional topological insulator is characterized by non-zero Chern numbers associated with its band structure. In our work, we present the experimental demonstration of an anomalous topological insulator, for which the…

The breaking of time-reversal symmetry is a crucial ingredient to topological bands. It can occur intrisically in materials with magnetic order, or be induced by external fields, such as magnetic fields in quantum Hall systems, or…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Utso Bhattacharya , Swati Chaudhary , Tobias Grass , Allan S. Johnson , Simon Wall , Maciej Lewenstein

Adding a small subdominant quadratic in momentum term to a dominant linear Dirac dispersion curve affects conduction and valence band differently and leads to an hourglass-like structure for energy as a function of momentum. This applies to…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 Zhou Li , J. P. Carbotte

Fractional Chern insulators (FCI) are exotic phases of matter realized at partial filling of a Chern band that host fractionally charged anyon excitations. Recent numerical studies in several microscopic models reveal that increasing the…

Strongly Correlated Electrons · Physics 2025-12-23 Zhengyan Darius Shi , T. Senthil

Magnonic topological phases realize chiral edge spin waves that are protected against backscattering, potentially enabling highly efficient spin transport. Here we show that the spin transport through these magnonic chiral edge states can…

Mesoscale and Nanoscale Physics · Physics 2024-06-21 Pieter M. Gunnink , Rembert A. Duine , Alexander Mook

We study the two dimensional Chern insulator and spin Hall insulator on a non-orientable Riemann surface, the Mobius strip, where the usual bandstructure topological invariant is not defined. We show that while the flow pattern of edge…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Langtao Huang , Dung-Hai Lee

We present a reconfigurable topological photonic system consisting of a 2D lattice of coupled ring resonators, with two sublattices of site rings coupled by link rings, which can be accurately described by a tight-binding model. Unlike…

Optics · Physics 2018-07-17 Daniel Leykam , S. Mittal , M. Hafezi , Y. D. Chong