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Topological insulators feature a number of topologically protected boundary modes linked to the value of their bulk invariant. While in one-dimensional systems the boundary modes are zero dimensional and localized, in two-dimensional…

Quantum Physics · Physics 2023-08-21 Carlos Vega , Diego Porras , Alejandro González-Tudela

Time-periodic perturbations can be used to engineer topological properties of matter by altering the Floquet band structure. This is demonstrated for a spin Hall insulator in the presence of monochromatic circularly polarized light. The…

Mesoscale and Nanoscale Physics · Physics 2012-02-02 Balázs Dóra , Jérôme Cayssol , Ferenc Simon , Roderich Moessner

We predict that the interplay between the spin-orbit coupling, stemming from the TE-TM energy splitting, and the Zeeman effect in semiconductor microcavities supporting exci- ton-polariton quasi-particles results in the appearance of…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Chunyan Li , Fangwei Ye , Xianfeng Chen , Yaroslav V. Kartashov , Albert Ferrando , Lluis Torner , Dmitry V. Skryabin

Under the action of a weak constant force a wavepacket in periodic potential undergoes periodic oscillations in space, returning to the initial position after one oscillation cycle. This wave phenomenon, known as Bloch oscillations (BOs),…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Chunyan Li , Weifeng Zhang , Yaroslav V. Kartashov , Dmitry V. Skryabin , Fangwei Ye

We consider a topological Floquet insulator consisting of two honeycomb arrays of identical waveguides having opposite helicities. The interface between the arrays supports two distinct topological edge states, which can be resonantly…

Time reversal (T) invariant topological insulator is widely recognized as one of the fundamental discoveries in condensed matter physics, for which the most fascinating hallmark is perhaps a spin based topological protection, the total…

Mesoscale and Nanoscale Physics · Physics 2017-01-17 Xue-Feng Zhu , Yu-Gui Peng , Xiang-Yuan Yu , Han Jia , Ming Bao , Ya-Xi Shen , De-Gang Zhao

We address how the nature of linearly dispersing edge states of two dimensional (2D) topological insulators evolves with increasing electron-electron correlation engendered by a Hubbard like on-site repulsion $U$ in finite ribbons of two…

Strongly Correlated Electrons · Physics 2012-06-26 Amal Medhi , Vijay B. Shenoy , H. R. Krishnamurthy

Topological edge states in systems of two (or more) dimensions offer scattering-free transport, exhibiting robustness to inhomogeneities and disorder. In a different domain, time-modulated systems, such as photonic time crystals (PTCs),…

We describe topological edge solitons in a continuous dislocated Lieb array of helical waveguides. The linear Floquet spectrum of this structure is characterized by the presence of two topological gaps with edge states residing in them. A…

Optical microcavities supporting exciton-polariton quasi-particles offer one of the most powerful platforms for investigation of rapidly developing area of topological photonics in general, and of photonic topological insulators in…

Optics · Physics 2016-10-25 Yaroslav V. Kartashov , Dmitry V. Skryabin

Topological insulators possess protected boundary states which are robust against disorders and have immense implications in both fermionic and bosonic systems. Harnessing these topological effects in non-equilibrium scenarios is highly…

Topological insulators insulate in the bulk but exhibit robust conducting edge states protected by the topology of the bulk material. Here, we design a colloidal topological insulator and demonstrate experimentally the occurrence of edge…

A lattice of optical ring resonators can exhibit a topological insulator phase, with the role of spin played by the direction of propagation of light within each ring. Unlike the system studied by Hafezi et al., topological protection is…

Optics · Physics 2013-06-05 G. Q. Liang , Y. D. Chong

The helical edge states of time-reversal invariant two-dimensional topological insulators are protected against backscattering in idealized models. In more realistic scenarios with a shallow confining potential at the sample boundary,…

Mesoscale and Nanoscale Physics · Physics 2022-11-09 Niels John , Adrian Del Maestro , Bernd Rosenow

Topological insulators are materials that conduct on the surface and insulate in their interior due to non-trivial topological order. The edge states on the interface between topological (non-trivial) and conventional (trivial) insulators…

Topological insulators are most frequently constructed using lattices with specific degeneracies in their linear spectra, such as Dirac points. For a broad class of lattices, such as honeycomb ones, these points and associated Dirac cones…

Optics · Physics 2024-09-09 Hua Zhong , Yaroslav V. Kartashov , Yongdong Li , Ming Li , Yiqi Zhang

Recent topological band theory distinguishes electronic band insulators with respect to various symmetries and topological invariants, most commonly, the time reversal symmetry and the $\rm Z_2$ invariant. The interface of two topologically…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 S. U. Piatrusha , E. S. Tikhonov , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , V. S. Khrapai

We show that periodically time-modulating the Dzyaloshinskii-Moriya interaction (DMI) in a two-dimensional magnon insulator may induce a topological phase transition that results in the presence of robust edge modes. To this end, we study a…

Mesoscale and Nanoscale Physics · Physics 2026-04-02 Ivan Martinez-Berumen , T. Pereg-Barnea , W. A. Coish

Electrical currents at the surface or edge of a topological insulator are intrinsically spin-polarized. We show that such surface/edge currents can be used to switch the orientation of a molecular magnet weakly coupled to the surface or…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Elina Locane , Piet W. Brouwer

We address the resonant response and bistability of the exciton-polariton corner states in a higher-order nonlinear topological insulator realized with kagome arrangement of microcavity pillars. Such states are resonantly excited and exist…

Optics · Physics 2020-10-02 Yiqi Zhang , Y. V. Kartashov , L. Torner , Yongdong Li , A. Ferrando