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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

Two-dimensional topological insulators protected by nonlocal symmetries or with fragile topology usually do not admit robust in-gap edge modes due to the incompatibility between the symmetry and the boundary. Here, we show that in a…

Mesoscale and Nanoscale Physics · Physics 2026-01-07 Kang Yang , Fei Song , Piet W. Brouwer

In higher-order topological insulators (HOTIs), topologically nontrivial phases are usually associated with the shift of Wannier centers to topologically nontrivial positions on the edges of the unit cells, and the emergence of fractional…

The intrinsic non-linearities of the spin dynamics in condensed matter systems give rise to a rich phenomenology that can be strongly affected by topology. Here we study formation of magnonic solitons in the topologically nontrivial bandgap…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Mehrdad Elyasi , Koji Sato , Gerrit E. W. Bauer

Exciton-polaritons are quasi-particles arising from the strong coupling regime between excitons and photons. In planar microcavitites, phenomena such as superfluidity or Bose-Einstein condensation can be observed. Those systems have…

Quantum Gases · Physics 2021-02-04 Anne Maître

Nodal superconductors without inversion symmetry exhibit nontrivial topological properties, manifested by topologically protected flat-band edge states. Here we study the effects of breaking translational symmetry, crucial to the definition…

Superconductivity · Physics 2014-02-07 Raquel Queiroz , Andreas P. Schnyder

We investigate topological edge states in one-dimensional off-diagonal mosaic lattices, where nearest-neighbor hopping amplitudes are modulated periodically with period $\kappa>1$. Analytically, we demonstrate that discrete edge states…

Optics · Physics 2025-10-17 Ba Phi Nguyen , Kihong Kim

The introduction of nonlinearities into lattices with topological band structures has led to the discovery of various types of solitons. The Su-Schrieffer-Heeger (SSH) lattice, as the most fundamental topological model, has been extended…

Pattern Formation and Solitons · Physics 2026-05-05 Rujiang Li , Muhammad Imran , Wencai Wang , Yongtao Jia , Ying Liu

We introduce a class of topological lasers based on the photonic Floquet topological insulator concept. The proposed system is realized as a truncated array of the lasing helical waveguides, where the pseudo-magnetic field arises due to…

Moir\'e heterobilayer transition metal dichalcogenides (TMDs) emerge as an ideal system for simulating the single-band Hubbard model and interesting correlated phases have been observed in these systems. Nevertheless, the moir\'e bands in…

Mesoscale and Nanoscale Physics · Physics 2022-01-19 Ying-Ming Xie , Cheng-Ping Zhang , Jin-Xin Hu , Kin Fai Mak , K. T. Law

Clouds of cold neutral atoms driven by a coherent light beam in a ring cavity exhibit self-structured states transversely with respect to the beam axis due to optomechanical forces and the back action of the atomic structures on the beam.…

Atomic Physics · Physics 2022-03-02 Giuseppe Baio , Thorsten Ackemann , Gian-Luca Oppo , Gordon R. M. Robb , Alison M. Yao

Topological physics opens up a plethora of exciting phenomena allowing to engineer disorder-robust unidirectional flows of light. Recent advances in topological protection of electromagnetic waves suggest that even richer functionalities…

Higher-order topological insulators are a recently discovered class of materials that can possess zero-dimensional localized states regardless of the dimension of the lattice. Here, we experimentally demonstrate that the topological…

Magnetic solitons are nonlinear, local excitations in magnetic systems. In this study, we theoretically and numerically investigate the properties and generation of one-dimensional (1D) topologically trivial magnetic solitons in…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Kai-Tao Huang , X. S. Wang

Topological photonic systems offer light transport that is robust against defects and disorder, promising a new generation of chip-scale photonic devices and facilitating energy-efficient on-chip information routing and processing. However,…

Three-dimensional topological insulators have protected Dirac-cone surface states. In this paper we propose magnetic field induced topological insulator thin film ordered states in which coherence is established spontaneously between top…

Strongly Correlated Electrons · Physics 2013-05-29 Dagim Tilahun , Byounghak Lee , E. M. Hankiewicz , A. H. MacDonald

We show that slow time-periodic variation of the external magnetic field applied to polariton topological insulator based on honeycomb array of microcavity pillars with pronounced TE-TM splitting results in oscillations of the edge states…

Optics · Physics 2024-01-15 Chunyan Li , Yaroslav V. Kartashov

Higher-order topological insulators (HOTIs) represent a family of topological phases that go beyond the conventional bulkboundary correspondence. d-dimensional n-th order HOTIs maintain (d - n)-dimensional gapless boundary states (in…

Optics · Physics 2026-02-12 Rujiang Li , Wencai Wang , Yongtao Jia , Ying Liu , Pengfei Li , Boris A. Malomed

Three-dimensional (3D) topological materials exhibit much richer phenomena than their lower-dimensional counterparts. Here, we propose self-localized topological states (i.e., topological solitons) in a 3D nonlinear photonic Chern…

Optics · Physics 2022-05-24 Rujiang Li , Pengfei Li , Yongtao Jia , Ying Liu

The low-energy band-structure of electrons propagating on a lateral surface of a heterostructure consisting of three dimensional topological insulator (TI) and magnetic insulator layers has been calculated. The energy spectrum is highly…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 A. G. Mal'shukov