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Localized modes in one dimensional topological systems, such as Majonara modes in topological superconductors, are promising platforms for robust information processing. In one dimensional topological insulators, mobile topological solitons…

Competing ground states may lead to topologically constrained excitations such as domain walls or quasiparticles, which govern metastable states and their dynamics. Domain walls and more exotic topological excitations are well studied in…

Soft Condensed Matter · Physics 2021-06-09 Carl Merrigan , Cristiano Nisoli , Yair Shokef

Topological insulators enable non-reciprocal light propagation that is insensitive to disorder and imperfections. Yet, despite considerable attention from the photonics community and beyond, the very feature that has inspired numerous…

A periodic array of atomic sites, described within a tight binding formalism is shown to be capable of trapping electronic states as it grows in size and gets stubbed by an atom or an atomic clusters from a side in a deterministic way. We…

Disordered Systems and Neural Networks · Physics 2018-03-13 Amrita Mukherjee , Atanu Nandy , Arunava Chakrabarti

Edge states forming at the boundaries of topologically non-trivial phases of matter are promising candidates for future device applications because of their stability against local perturbations. Magnetically ordered spin chains…

Superconductivity · Physics 2023-05-31 Lucas Schneider , Philip Beck , Levente Rózsa , Thore Posske , Jens Wiebe , Roland Wiesendanger

Moir\'e systems made from stacked two-dimensional materials host novel correlated and topological states that can be electrically controlled via applied gate voltages. We have used this technique to manipulate Chern domains in an…

Pseudoentangled states are defined by their ability to hide their entanglement structure: they are indistinguishable from random states to any observer with polynomial resources, yet can have much less entanglement than random states.…

Quantum Physics · Physics 2025-07-11 Zihan Cheng , Xiaozhou Feng , Matteo Ippoliti

The exploration of topological states is of significant fundamental and practical importance in contemporary condensed matter physics, for which the extension to two-dimensional (2D) organometallic systems is particularly attractive. Using…

Mesoscale and Nanoscale Physics · Physics 2016-01-13 Hyun-Jung Kim , Chaokai Li , Ji Feng , Jun-Hyung Cho , Zhenyu Zhang

The electronic orders in magnetic and dielectric materials form the domains with different signs of order parameters. The control of configuration and motion of the domain walls (DWs) enables gigantic, nonvolatile responses against minute…

Mesoscale and Nanoscale Physics · Physics 2018-02-07 K. Yasuda , M. Mogi , R. Yoshimi , A. Tsukazaki , K. S. Takahashi , M. Kawasaki , F. Kagawa , Y. Tokura

We give a self-contained and enriched review about topology properties in the rapidly growing field of topological states of matter (TSM). This review is mainly focus on the beautiful interplay of topology mathematics and condensed matter…

Mathematical Physics · Physics 2013-09-10 Chunbo Zhao

Resonant parametric modulation is a major tool of studying magnetic systems. For a spin-1/2 chain in a strong magnetic field, the resulting excitations can be mapped on fermionic excitations in the Kitaev chain. We show that the response to…

Mesoscale and Nanoscale Physics · Physics 2026-05-20 Mahmoud T. Elewa , M. I. Dykman

We examine the transition from trivial to non-trivial phases in a Su-Schrieffer-Heeger model subjected to disorder in a quasi-periodic environment. We analytically determine the phase boundary, and characterize the localization of normal…

Statistical Mechanics · Physics 2025-12-09 Sayan Sircar

Topological insulators and their intriguing edge states can be understood in a single-particle picture and can as such be exhaustively classified. Interactions significantly complicate this picture and can lead to entirely new insulating…

Strongly Correlated Electrons · Physics 2013-09-10 Emil J. Bergholtz , Zhao Liu

Atomic metasurfaces (AMs) provide a powerful nanophotonic platform for integrating topological effects into quantum many-body systems. In this Letter, we investigate the quantum optical and topological properties of a two-dimensional Kagome…

Quantum Physics · Physics 2025-10-10 Yi-Xin Wang , Yan Zhang , Lei Du , Lingzhen Guo , Jin-Hui Wu

We report an experimental demonstration of a machine learning approach to identify exotic topological phases, with a focus on the three-dimensional chiral topological insulators. We show that the convolutional neural networks---a class of…

A magnetic helix arises in chiral magnets with a wavelength set by the spin-orbit coupling. We show that the helimagnetic order is a nanoscale analog to liquid crystals, exhibiting topological structures and domain walls that are distinctly…

Strongly Correlated Electrons · Physics 2024-02-02 P. Schoenherr , J. Müller , L. Köhler , A. Rosch , N. Kanazawa , Y. Tokura , M. Garst , D. Meier

The recent experimental demonstration of spin-polarized supercurrents offer a venue for establishment of a superconducting analogue to conventional spintronics. Whereas domain wall motion in purely magnetic structures is a well-studied…

Superconductivity · Physics 2015-06-18 Jacob Linder , Klaus Halterman

Confined samples of liquid crystals are characterized by a variety of topological defects and can be exposed to external constraints such as extreme confinements with nontrivial topology. Here we explore the intrinsic structure of smectic…

Soft Condensed Matter · Physics 2021-02-03 René Wittmann , Louis B. G. Cortes , Hartmut Löwen , Dirk G. A. L. Aarts

Topological domain walls separating 2+1 dimensional topologically ordered phases can be understood in terms of Witt equivalences between the UMTCs describing anyons in the bulk topological orders. However, this picture does not provide a…

Strongly Correlated Electrons · Physics 2023-08-30 Peter Huston , Fiona Burnell , Corey Jones , David Penneys

Spin polarized scanning tunneling microscopy is used to directly image topological magnetic textures in thin films of MnGe, and to correlate the magnetism with structure probed at the atomic-scale. Our images indicate helical stripe…