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We propose a simple method to simulate and detect topological insulators with cold atoms trapped in a one-dimensional bichromatic optical lattice subjected to a time-periodic modulation. The tight-binding form of this shaken system is…

Quantum Gases · Physics 2019-02-25 Feng Mei , Jia-Bin You , Dan-Wei Zhang , X. C. Yang , R. Fazio , Shi-Liang Zhu , L. C. Kwek

Existence of robust edge modes at interfaces of topologically dissimilar systems is one of the most fascinating manifestations of a novel nontrivial state of matter, topological insulators. Such electronic states were originally predicted…

Isolated flat bands with significantly quenched kinetic energy of electrons could give rise to exotic strongly correlated states from electron-electron interactions. More intriguingly, the interplay between topology and flat bands can…

Mesoscale and Nanoscale Physics · Physics 2024-08-19 Huaiqiang Wang , Yiliang Fan , Haijun Zhang

In this work, we propose a new and simple model that supports Chern semimetals. These new gapless topological phases share several properties with the Chern insulators like a well-defined Chern number associated to each band, topologically…

Mesoscale and Nanoscale Physics · Physics 2015-12-09 Giandomenico Palumbo , Konstantinos Meichanetzidis

Topological insulators, which allow edge or interface waves but forbid bulk waves, have revolutionized our scientific cognition of acoustic/elastic systems. Due to their nontrivial topological characteristics, edge (interface)waves are…

Applied Physics · Physics 2021-04-28 Weijian Zhou , Weiqiu Chen , Michel Destrade , C. W. Lim

Topological band theory establishes a standardized framework for classifying different types of topological matters. Recent investigations have shown that hyperbolic lattices in non-Euclidean space can also be characterized by hyperbolic…

Mesoscale and Nanoscale Physics · Physics 2023-03-22 Weixuan Zhang , Fengxiao Di , Xingen Zheng , Houjun Sun , Xiangdong Zhang

We investigate the properties of a two-dimensional quasicrystal in the presence of a uniform magnetic field. In this configuration, the density of states (DOS) displays a Hofstadter butterfly-like structure when it is represented as a…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 Duc-Thanh Tran , Alexandre Dauphin , Nathan Goldman , Pierre Gaspard

In this work we will explore the properties of superconducting surfaces decorated by two-dimensional ferromagnetic adatom lattices. As discovered recently [R\"ontynen and Ojanen, Phys. Rev. Lett. \textbf{114}, 236803 (2015)], in the…

Mesoscale and Nanoscale Physics · Physics 2016-03-30 Joel Röntynen , Teemu Ojanen

We present models of topological insulating Hamiltonians exhibiting intrinsic altermagnetic features, protected by combined three-fold or four-fold rotational symmetries with time-reversal. We demonstrate that the spin Chern number serves…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Rafael Gonzalez-Hernandez , Bernardo Uribe

We investigate topological band structures of a kagome system coupled to a circularly polarized cavity mode, using a model based on a muffin-tin potential and quantum light-matter interaction. We show that Chern insulating phases emerge in…

Mesoscale and Nanoscale Physics · Physics 2026-04-03 Hikaru Goto , Ryo Okugawa , Takami Tohyama

Topological insulators (TIs) are an emerging class of materials that host highly robust in-gap surface/interface states while maintaining an insulating bulk. While most notable scientific advancements in this field have been focused on TIs…

The abstract notion of topology has led to profound insights into real materials. Notably, the surface and edges of topological materials can host physics, such as unidirectional charge or spin transport, that is unavailable in isolated…

Mesoscale and Nanoscale Physics · Physics 2021-07-02 Nicodemos Varnava , Justin H. Wilson , J. H. Pixley , David Vanderbilt

We study amorphous systems with completely random sites and find that, through constructing and exploring a concrete model Hamiltonian, such a system can host an exotic phase of topological amorphous metal in three dimensions. In contrast…

Mesoscale and Nanoscale Physics · Physics 2019-08-21 Yan-Bin Yang , Tao Qin , Dong-Ling Deng , L. -M. Duan , Yong Xu

Nonlinearities in lattices with topological band structures can induce topological interfaces in the bulk of structures and give rise to bulk solitons in the topological bandgaps. Here we study a photonic Chern insulator with saturable…

Fractional Chern insulators arise in topologically nontrivial flat bands, characterized by an integer Chern number C that corresponds to the number of dissipationless edge states in the non-interacting regime. Higher Chern numbers can…

Strongly Correlated Electrons · Physics 2026-01-29 Ying-Xing Ding , Wen-Tong Li , Li-Min Zhang , Yu-Biao Wu , Duanlu Zhou , Lin Zhuang , Wu-Ming Liu

Topology and electron interactions are two central themes in modern condensed matter physics. Here we propose graphene based systems where both the band topology and interaction effects can be simply controlled with electric fields. We…

Strongly Correlated Electrons · Physics 2019-02-20 Ya-Hui Zhang , Dan Mao , Yuan Cao , Pablo Jarillo-Herrero , T. Senthil

Quadrupole topological insulators are a new class of topological insulators with quantized quadrupole moments, which support protected gapless corner states. The experimental demonstrations of quadrupole-topological insulators were reported…

Mesoscale and Nanoscale Physics · Physics 2021-06-01 Bo Lv , Rui Chen , Rujiang Li , Chunying Guan , Bin Zhou , Guohua Dong , Chao Zhao , YiCheng Li , Ying Wang , Huibin Tao , Jinhui Shi , Dong-Hui Xu

We propose a two-dimensional non-Hermitian Chern insulator with inversion symmetry, which is anisotropic and has staggered gain and loss in both x and y directions. In this system, conventional bulk-boundary correspondence holds. The Chern…

Mesoscale and Nanoscale Physics · Physics 2019-10-11 H. C. Wu , L. Jin , Z. Song

We study topological properties of the Bose-Hubbard model with repulsive interactions in a one-dimensional optical superlattice. We find that the Mott insulator states of the single-component (two-component) Bose-Hubbard model under…

Quantum Gases · Physics 2015-06-15 Shi-Liang Zhu , Z. D. Wang , Y. -H. Chan , L. -M. Duan

Microwave impedance microscopy (MIM) has been utilized to directly visualize topological edge states in many quantum materials, from quantum Hall systems to topological insulators, across the GHz regime. While the microwave response for…

Mesoscale and Nanoscale Physics · Physics 2024-01-02 Taige Wang , Chen Wu , Masataka Mogi , Minoru Kawamura , Yoshinori Tokura , Zhi-Xun Shen , Yi-Zhuang You , Monica T. Allen