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We propose to realize one-dimensional topological phases protected by SU($N$) symmetry using alkali or alkaline-earth atoms loaded into a bichromatic optical lattice. We derive a realistic model for this system and investigate it…

强关联电子 · 物理学 2019-02-20 P. Fromholz , S. Capponi , P. Lecheminant , D. J. Papoular , K. Totsuka

We analyze the topological and dynamical properties of a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation hopping. We find that, in the single excitation limit, the…

量子物理 · 物理学 2022-09-21 Ciaran McDonnell , Beatriz Olmos

Non-Hermitian systems have been discussed mostly in the context of open systems and nonequilibrium. Recent experimental progress is much from optical, cold-atomic, and classical platforms due to the vast tunability and clear identification…

介观与纳米尺度物理 · 物理学 2024-01-25 Xiao-Xiao Zhang , Naoto Nagaosa

Square-root higher-order topological insulators (HOTIs) are recently discovered new topological phases, with intriguing topological properties inherited from a parent lattice Hamiltonian. Different from conventional HOTIs, the square-root…

光学 · 物理学 2021-10-12 Wenchao Yan , Daohong Song , Shiqi Xia , Junfang Xie , Liqin Tang , Jingjun Xu , Zhigang Chen

We study non-interacting electrons in disordered materials which exhibit a spectral gap, in each of the ten Altland--Zirnbauer symmetry classes, in all space dimensions. We define an appropriate space of Hamiltonians and a topology on it so…

数学物理 · 物理学 2026-05-26 Jui-Hui Chung , Jacob Shapiro

Topological materials have become the focus of intense research in recent years, since they exhibit fundamentally new physical phenomena with potential applications for novel devices and quantum information technology. One of the hallmarks…

介观与纳米尺度物理 · 物理学 2016-09-01 Ching-Kai Chiu , Jeffrey C. Y. Teo , Andreas P. Schnyder , Shinsei Ryu

We propose a new type of topological states of matter exhibiting topologically nontrivial edge states (ESs) within gapless bulk states (GBSs) protected by both spin rotational and reflection symmetries. A model presenting such states is…

介观与纳米尺度物理 · 物理学 2019-04-23 Masoud Bahari , Mir Vahid Hosseini

We report the theoretical discovery of a large class of 2D tight-binding models containing nearly-flat bands with nonzero Chern numbers. In contrast with previous studies, where nonlocal hoppings are usually required, the Hamiltonians of…

强关联电子 · 物理学 2011-06-07 Kai Sun , Zheng-Cheng Gu , Hosho Katsura , S. Das Sarma

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…

Periodic Hamiltonians on a three-dimensional (3-D) lattice with a spectral gap not only on the bulk but also on two edges at the common Fermi level are considered. By using K-theory applied for the quarter-plane Toeplitz extension, two…

数学物理 · 物理学 2018-10-18 Shin Hayashi

Recent advanced experimental implementations of optical lattices with highly tunable geometry open up new regimes for quantum many-body states of matter that previously had not been accessible. Here we introduce a symmetry-based method of…

量子气体 · 物理学 2021-01-12 Maksims Arzamasovs , Shuai Li , W. Vincent Liu , Bo Liu

Topological phenomena in non-Hermitian systems have recently become a subject of great interest in the photonics and condensed-matter communities. In particular, the possibility of observing topologically-protected edge states in…

介观与纳米尺度物理 · 物理学 2020-04-02 Pablo Reséndiz-Vázquez , Konrad Tschernig , Armando Perez-Leija , Kurt Busch , Roberto de J. León-Montiel

Topological materials have potential applications for quantum technologies. Non-interacting topological materials, such as e.g., topological insulators and superconductors, are classified by means of fundamental symmetry classes. It is…

强关联电子 · 物理学 2021-07-14 Titas Chanda , Rebecca Kraus , Giovanna Morigi , Jakub Zakrzewski

Using the tight-binding method in combination with first-principles calculations, we systematically derive a low-energy effective Hilbert subspace and Hamiltonian with spin-orbit coupling for two-dimensional hydrogenated and halogenated…

材料科学 · 物理学 2014-12-10 Cheng-Cheng Liu , Shan Guan , Zhigang Song , Shengyuan A. Yang , Jinbo Yang , Yugui Yao

The exploration of topological phases remains a cutting-edge research frontier, driven by their promising potential for next-generation electronic and quantum technologies. In this work, we employ first-principles calculations and…

材料科学 · 物理学 2026-03-06 Sibin Lü , Jun Hu

Topological band insulators and (semi-) metals can arise out of atomic insulators when the hopping strength between electrons increases. Such topological phases are separated from the atomic insulator by a bulk gap closing. In this work, we…

介观与纳米尺度物理 · 物理学 2022-04-21 Xiao-Ping Li , Da-Shuai Ma , Cheng-Cheng Liu , Zhi-Ming Yu , Yugui Yao

The valence flat bands in transition metal dichalcogenide (TMD) heterobilayers are shown to exhibit strong intralayer spin-orbit coupling. This is reflected in a simple tight-binding model with spin-dependent complex hoppings based on the…

介观与纳米尺度物理 · 物理学 2022-06-01 Louk Rademaker

We consider the Kane-Mele-Hubbard model with a magnetic $\pi$ flux threading each honeycomb plaquette. The resulting model has remarkably rich physical properties. In each spin sector, the noninteracting band structure is characterized by a…

强关联电子 · 物理学 2014-08-26 Martin Bercx , Martin Hohenadler , Fakher F. Assaad

Time reversal (T) invariant topological insulator is widely recognized as one of the fundamental discoveries in condensed matter physics, for which the most fascinating hallmark is perhaps a spin based topological protection, the total…

介观与纳米尺度物理 · 物理学 2017-01-17 Xue-Feng Zhu , Yu-Gui Peng , Xiang-Yuan Yu , Han Jia , Ming Bao , Ya-Xi Shen , De-Gang Zhao

We present a detailed analysis of the one-electron physics of the actinides. Various LMTO basis sets are analyzed in order to determine a robust bare Hamiltonian for the actinides. The hybridization between f- an spd- states is compared…

强关联电子 · 物理学 2009-11-13 A. Toropova , C. A. Marianetti , K. Haule , G. Kotliar