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Related papers: Three-dimensional topological magnon systems

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Three dimensional (3D) topological insulators are novel states of quantum matter that feature spin-momentum locked helical Dirac fermions on their surfaces and hold promise to open new vistas in spintronics, quantum computing and…

Mesoscale and Nanoscale Physics · Physics 2010-07-30 Su-Yang Xu , L. A. Wray , Y. Xia , R. Shankar , A. Petersen , A. Fedorov , H. Lin , A. Bansil , Y. S. Hor , D. Grauer , R. J. Cava , M. Z. Hasan

Topological insulators are materials with a bulk excitation gap generated by the spin orbit interaction, and which are different from conventional insulators. This distinction is characterized by Z_2 topological invariants, which…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Liang Fu , C. L. Kane

We theoretically investigate a two-dimensional decorated honeycomb lattice framework to realize a second-order topological magnon insulator (SOTMI) phase featuring distinct corner-localized modes. Our study emphasizes the pivotal role of…

Mesoscale and Nanoscale Physics · Physics 2024-03-20 Sayak Bhowmik , Saikat Banerjee , Arijit Saha

We study electronic structures at an interface between a topological insulator and a ferromagnetic insulator by using three-dimensional two-band model. In usual ferromagnetic insulators, the exchange potential is much larger than the bulk…

Mesoscale and Nanoscale Physics · Physics 2012-11-21 Tetsuro Habe , Yasuhiro Asano

A definition of topological phases of density matrices is presented. The topological invariants in case of both noninteracting and interacting systems are extended to nonzero temperatures. Influence of electron interactions on topological…

Strongly Correlated Electrons · Physics 2015-09-03 Damian Zdulski , Krzysztof Byczuk

Three-dimensional topological insulators can be described by an effective field theory involving two `hydrodynamic' Abelian gauge fields. The action contains a bulk topological BF term and a surface term, called loop model. This describes…

High Energy Physics - Theory · Physics 2024-06-05 Andrea Cappelli , Lorenzo Maffi , Riccardo Villa

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

We present a comprehensive study of strain-induced topological magnon phase transitions in insulating three-dimensional (3D) topological chiral antiferromagnets on the kagome-lattice. We show that by applying (100) uniaxial strain, 3D…

Strongly Correlated Electrons · Physics 2020-09-16 S. A. Owerre

In two-dimensional (2D) insulating magnets, the thermal Hall effect of magnons is believed to be a consequence of topological magnon insulator with separated magnon bands and a well-defined Chern number. Due to broken time-reversal symmetry…

Strongly Correlated Electrons · Physics 2018-09-26 S. A. Owerre

We present homotopy theoretic and geometric interpretations of the Kane-Mele invariant for gapped fermionic quantum systems in three dimensions with time-reversal symmetry. We show that the invariant is related to a certain 4-equivalence…

Mathematical Physics · Physics 2019-12-03 Severin Bunk , Richard J. Szabo

The chiral hinge modes are the key feature of a second order topological insulator in three dimensions. Here we propose a quadrupole index in combination of a slab Chern number in the bulk to characterize the flowing pattern of chiral hinge…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Bo Fu , Zi-Ang Hu , Shun-Qing Shen

We generalize the noncommutative relations obeyed by the guiding centers in the two-dimensional quantum Hall effect to those obeyed by the projected position operators in three-dimensional (3D) topological band insulators. The…

Strongly Correlated Electrons · Physics 2012-11-12 Titus Neupert , Luiz Santos , Shinsei Ryu , Claudio Chamon , Christopher Mudry

We introduce two-dimensional topological insulators in proximity to high-temperature cuprate or iron-based superconductors as high-temperature platforms of Majorana Kramers pairs of zero modes. The proximity-induced pairing at the helical…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 Zhongbo Yan , Fei Song , Zhong Wang

The seminal Haldane model brings up a paradigm beyond the quantum Hall effect to look for a plethora of topological phases in the honeycomb and other lattices. Here we dwell into this model considering a full parameter space in the presence…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Tanay Nag , Saptarshi Mandal

A single Dirac cone on the surface is the hallmark of three-dimensional (3D) topological insulators, where the double degeneracy at the Dirac point is protected by time-reversal symmetry and the spin-splitting away from the point is…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 Ling Lu , Chen Fang , Liang Fu , Steven G. Johnson , John D. Joannopoulos , Marin Soljačić

The coupled-wires approach has been shown to be useful in describing two-dimensional strongly interacting topological phases. In this manuscript we extend this approach to three-dimensions, and construct a model for a fractional strong…

Mesoscale and Nanoscale Physics · Physics 2015-11-25 Eran Sagi , Yuval Oreg

A common feature of topological insulators is that they are characterized by topologically invariant quantity such as the Chern number and the $\mathbb{Z}_2$ index. This quantity distinguishes a nontrivial topological system from a trivial…

Strongly Correlated Electrons · Physics 2018-05-24 S. A. Owerre

Topological insulators in three dimensions are nonmagnetic insulators that possess metallic surface states as a consequence of the nontrivial topology of electronic wavefunctions in the bulk of the material. They are the first known…

Strongly Correlated Electrons · Physics 2012-01-26 M. Zahid Hasan , Joel E. Moore

We develop a Dirac fermion theory for topological phases in magnetic topological insulator films. The theory is based on exact solutions of the energies and the wave functions for an effective model of the three-dimensional topological…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Kai-Zhi Bai , Bo Fu , Shun-Qing Shen

We study topological phases of time-reversal invariant singlet superconductors in three spatial dimensions. In these particle-hole symmetric systems the topological phases are characterized by an even-numbered winding number $\nu$. At a…

Mesoscale and Nanoscale Physics · Physics 2009-05-15 Andreas P. Schnyder , Shinsei Ryu , Andreas W. W. Ludwig