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Topological excitations in magnetically ordered systems have attracted much attention lately. We report on topological magnon bands in ferromagnetic Shastry-Sutherland lattices whose edge modes can be put to use in magnonic devices. The…

Strongly Correlated Electrons · Physics 2019-05-16 M. Malki , G. S. Uhrig

The bulk-boundary correspondence is a defining feature of topological states of matter. However, for quantum magnets such as spin liquids or topological magnon insulators a direct observation of topological surface states has proven…

Strongly Correlated Electrons · Physics 2020-10-21 Johannes Feldmeier , Willian Natori , Michael Knap , Johannes Knolle

Local topological markers are effective tools for determining the topological properties of both homogeneous and inhomogeneous systems. The Chern marker is an established topological marker that has previously been shown to effectively…

Quantum Gases · Physics 2022-06-14 Joseph Sykes , Ryan Barnett

Topological magnons are bosonic analogues of topological fermions in electronic systems. They have been studied extensively by theory but rarely realized by experiment. Here, by performing inelastic neutron scattering measurements on single…

We propose a two-spin quantum-mechanical model with applied magnetic fields acting on the Poincar\'e-Bloch sphere, to reveal a new class of topological energy bands with Chern number one half for each spin-1/2. The mechanism behind this…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Joel Hutchinson , Karyn Le Hur

The engineering of topological non-trivial states of matter, using cold atoms, has made great progress in the last decade. Driven by experimental successes, it has become of major interest in the cold atom community. In this work we…

Quantum Gases · Physics 2020-06-16 Urs Gebert , Bernhard Irsigler , Walter Hofstetter

Higher-pseudospin fermions, associated with multiple band-crossings in topological semimetals, are the condensed matter analogues of higher-spin fermions in high-energy physics. In this paper, we demonstrate that analyzing the response of a…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Sajid Sekh , Ipsita Mandal

The topology of two-dimensional materials traditionally manifests itself through the quantization of the Hall conductance, which is revealed in transport measurements. Recently, it was predicted that topology can also give rise to a…

Local topological markers have proven to be a valuable tool for investigating systems with topologically non-trivial bands. Due to their local nature, such markers can treat translationally invariant systems and spatially inhomogeneous…

Quantum Gases · Physics 2021-04-28 Joseph Sykes , Ryan Barnett

The topological phases of two-dimensional time-reversal symmetric insulators are classified by a $\mathbb{Z}_{2}$ topological invariant. Usually, the invariant is introduced and calculated by exploiting the way time-reversal symmetry acts…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Nicolas Baù , Antimo Marrazzo

We propose to measure band topology via quantized drift of Bloch oscillations in a two-dimensional Harper-Hofstadter lattice subjected to tilted fields in both directions. When the difference between the two tilted fields is large, Bloch…

Quantum Gases · Physics 2021-10-04 Bo Zhu , Shi Hu , Honghua Zhong , Yongguan Ke

A system having macroscopic patches in different topological phases have no well-defined global topological invariant. To treat such a case, the quantities labeling different areas of the sample according to their topological state are…

Mesoscale and Nanoscale Physics · Physics 2023-04-27 A. A. Markov , D. B. Golovanova , A. R. Yavorsky , A. N. Rubtsov

Local markers provide an efficient and powerful characterization of topological features of many systems, especially when the translation symmetry is broken. Recently, a universal topological local marker applicable in different symmetry…

Other Condensed Matter · Physics 2026-01-01 Yulin Qin , Chang-An Li , Jian Li

Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states. In condensed matter devices, material imperfections hinder a direct…

Exploring the synergy between topological physics and nonlinear dynamics unveils profound insights into emergent states of matter. Inspired by recent experimental demonstrations of topological frequency combs in photonics, we theoretically…

Mesoscale and Nanoscale Physics · Physics 2025-09-01 Zhixiong Li , Xuejuan Liu , Zhejunyu Jin , Guanghua Guo , Xingen Zheng , Peng Yan

Realization of novel topological phases in magnonic band structures represents a new opportunity for the development of spintronics and magnonics with low power consumption. In this work, we show that in antiparallelly aligned magnetic…

Mesoscale and Nanoscale Physics · Physics 2024-04-16 Zhongqiang Hu , Liang Fu , Luqiao Liu

We study the Kitaev-Heisenberg-$\Gamma$-$\Gamma'$ model that describes the magnetism in strong spin-orbit coupled honeycomb lattice Mott insulators. In strong $[111]$ magnetic fields that bring the system into the fully polarized…

Strongly Correlated Electrons · Physics 2018-08-15 P. A. McClarty , X. -Y. Dong , M. Gohlke , J. G. Rau , F. Pollmann , R. Moessner , K. Penc

Controlling edge states of topological magnon insulators is a promising route to stable spintronics devices. However, to experimentally ascertain the topology of magnon bands is a challenging task. Here we derive a fundamental relation…

Topologically ordered phase has emerged as one of most exciting concepts that not only broadens our understanding of phases of matter, but also has been found to have potential application in fault-tolerant quantum computation. The direct…

Quantum Physics · Physics 2016-06-01 Zhihuang Luo , Chao Lei , Jun Li , Xinfang Nie , Zhaokai Li , Xinhua Peng , Jiangfeng Du

We show that wavefunctions in a two-dimensional (2D) electron system with spin-orbit coupling can be characterized by a topological quantity--the Chern integer due to the existence of the intrinsic Kramers degeneracy. The…

Condensed Matter · Physics 2009-10-28 D. N. Sheng , Z. Y. Weng
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