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We investigate topological states of two-dimensional (2D) triangular lattices with multi-orbitals. Tight-binding model calculations of a 2D triangular lattice based on $\emph{p}_{x}$ and \emph{p}_{y} orbitals exhibit very interesting doubly…

Mesoscale and Nanoscale Physics · Physics 2018-03-29 Jiayong Zhang , Bao Zhao , Yang Xue , Tong Zhou , Zhongqin Yang

Topological defects with symmetry-breaking phase transitions have captured much attention. Vortex generated by topological defects exhibits exotic properties and its flow direction can be switched by altering the spin configurations.…

Classical Physics · Physics 2018-07-18 Jiujiu Chen , Hongbo Huang , Shaoyong Huo , Zhuhua Tan , Xiaoping Xie , Jianchun Cheng

The introduction of topological invariants, ranging from insulators to metals, has provided new insights into the traditional classification of electronic states in condensed matter physics. A sudden change in the topological invariant at…

Mesoscale and Nanoscale Physics · Physics 2018-05-31 Cheng Zhang , Hai-Zhou Lu , Shun-Qing Shen , Yong P. Chen , Faxian Xiu

Recent studies have shown that a soliton can be {\it fractionally} transported by slowly varying a system parameter over one period in a nonlinear system. This phenomenon is attributed to the nontrivial topology of the corresponding energy…

Pattern Formation and Solitons · Physics 2025-02-11 Yu-Liang Tao , Yongping Zhang , Yong Xu

Recent theories and experiments have suggested that strong spin-orbit coupling effects in certain band insulators can give rise to a new phase of quantum matter, the so-called topological insulator, which can show macroscopic entanglement…

Mesoscale and Nanoscale Physics · Physics 2009-08-26 Y. Xia , D. Qian , D. Hsieh , L. Wray , A. Pal , H. Lin , A. Bansil , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

Nonlinear interaction enables topological phenomena impossible in linear systems. A paradigm is nonlinear Thouless pump, where the transport of solitons can be topologically quantized even when band occupation is nonuniform. Such nonlinear…

Quantum Gases · Physics 2026-04-01 Xuzhen Cao , Xiaolin Li , Liang Bai , Zhaoxin Liang , Li-Chen Zhao , Ying Hu

Soliton molecules, bound states of two solitons, can be important for the informatics using solitons and the quest for exotic particles in a wide range of physical systems from unconventional superconductors to nuclear matter and Higgs…

Materials Science · Physics 2023-08-11 Taehwan Im , Sun Kyu Song , Jae Whan Park , Han Woong Yeom

We investigate how imposing kinetic restrictions on quantum particles that would otherwise hop freely on a two-dimensional lattice can lead to topologically ordered states. The kinetically constrained models introduced here are derived as a…

Strongly Correlated Electrons · Physics 2015-04-21 Stefanos Kourtis , Claudio Castelnovo

We report the findings of fractional topological states in one-dimensional periodically modulated quantum spin chains with up to third neighbor interactions. By exact numerical studies, we demonstrate the existence of topologically…

Strongly Correlated Electrons · Physics 2016-04-27 Haiping Hu , Huaiming Guo , Shu Chen

Motivated by recent observation of the quantum spin Hall effect in monolayer germanene and twisted bilayer transition-metal-dichalcogenides (TMDs), we study the topological phases of moir\'e twisted bilayers with time-reversal symmetry and…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Yi-Ming Wu , Daniel Shaffer , Zhengzhi Wu , Luiz H. Santos

The interplay between topology and electronic correlation effects offers a rich avenue for discovering emergent quantum phenomena in condensed matter systems. In this work, starting from the Weyl-Hubbard model, we investigate the quantum…

Strongly Correlated Electrons · Physics 2024-02-16 Snehasish Nandy , Christopher Lane , Jian-Xin Zhu

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

We introduce two dimensional fermionic band models with two orbitals per lattice site, or one spinful orbital, and which have a non-zero topological Chern number that can be changed by varying the ratio of hopping parameters. A…

Strongly Correlated Electrons · Physics 2013-02-14 Miguel A. N. Araújo , Eduardo V. Castro , Pedro D. Sacramento

Topology transcends boundaries that conventionally delineate physical, biological and engineering sciences. Our ability to mathematically describe topology, combined with our access to precision tracking and manipulation approaches, has…

Biological Physics · Physics 2021-01-01 Anupam Sengupta

Orbitronics has recently emerged as a very active research topic after several proposals aiming to exploit the orbital degree of freedom for charge-free electronics. In this communication, we investigate orbital transport in selected…

Mesoscale and Nanoscale Physics · Physics 2023-12-13 Armando Pezo , Diego García Ovalle , Aurélien Manchon

An electron moving in a magnetically ordered background feels an effective magnetic field that can be both stronger and more rapidly varying than typical externally applied fields. One consequence is that insulating magnetic materials in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Joel E. Moore , Ying Ran , Xiao-Gang Wen

The discovery of the topological nature of free-space light and its quantum chiral behavior has recently raised large attention. This important scientific endeavor features spin-based integrated quantum technologies. Herein, we discuss a…

Topological materials exhibit properties dictated by quantised invariants that make them robust against perturbations. This topological protection is a universal wave phenomenon that applies not only in the context of electrons in…

Optics · Physics 2020-05-26 Sebabrata Mukherjee , Mikael C. Rechtsman

We show that a semiconductor thin film can acquire a non-trivial spin texture due to the proximity effect induced by a topological insulator. The effect stems from coupling to the topological surface states and is present even when the…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Jimmy A. Hutasoit , Tudor D. Stanescu

Photonic structures with topologically nontrivial bands are usually designed by arranging simple meta-atoms, ideally, single-mode ones, in a carefully designed photonic lattice with symmetry that guarantees the emergence of topological…

Optics · Physics 2020-10-21 Roman S. Savelev , Maxim A. Gorlach
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