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We propose a feasible experimental scheme to realize a three-dimensional chiral topological insulator with cold fermionic atoms in an optical lattice, which is characterized by an integer topological invariant distinct from the conventional…

强关联电子 · 物理学 2014-07-18 Sheng-Tao Wang , Dong-Ling Deng , Lu-Ming Duan

We present a general analysis of two-dimensional optical lattice models that give rise to topologically non-trivial insulating states. We identify the main ingredients of the lattice models that are responsible for the non-trivial…

量子气体 · 物理学 2010-07-13 Tudor D. Stanescu , Victor Galitski , S. Das Sarma

Topological flat bands (TFBs) are increasingly recognized as an important paradigm to study topological effects in the context of strong correlation physics. As a representative example, recently it has been theoretically proposed that the…

介观与纳米尺度物理 · 物理学 2024-07-04 Yuhui Wang , Shupeng Xu , Liang Feng , Ritesh Agarwal

Our understanding of topological insulators is based on an underlying crystalline lattice where the local electronic degrees of freedom at different sites hybridize with each other in ways that produce nontrivial band topology, and the…

介观与纳米尺度物理 · 物理学 2017-10-03 Adhip Agarwala , Vijay B. Shenoy

We construct a simple model for electrons in a three-dimensional crystal where a combination of short-range hopping and spin-orbit coupling results in nearly flat bands characterized by a non-trivial Z2 topological index. The flat band is…

介观与纳米尺度物理 · 物理学 2012-01-27 C. Weeks , M. Franz

We demonstrate theoretically an atomic liquid phase that supports topologically nontrivial electronic structure. A minimum two-orbital model of liquid topological insulator in two dimensions is constructed within the framework of…

介观与纳米尺度物理 · 物理学 2019-06-07 Gia-Wei Chern

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

Coexistence of nontrivial topology and flat electronic bands in low-energy lattices provides a fertile platform for correlated quantum states. The square-octagon lattice hosts Dirac nodes and flat bands at half-filling, yet the influence of…

介观与纳米尺度物理 · 物理学 2025-11-18 Amrita Mukherjee , Rahul Verma , Pritesh Srivastava , Bahadur Singh

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…

强关联电子 · 物理学 2013-09-10 Emil J. Bergholtz , Zhao Liu

We present the appearance of nearly flat band states with nonzero Chern numbers in a two-dimensional "diamond-octagon" lattice model comprising two kinds of elementary plaquette geometries, diamond and octagon, respectively. We show that…

强关联电子 · 物理学 2018-12-17 Biplab Pal

In recent years, flat electronic bands in twisted bilayer graphene (TBG) have attracted significant attention due to their intriguing topological properties, extremely slow electron velocities, and enhanced density of states. Extending…

量子气体 · 物理学 2025-06-16 Wenjie Sui , Wei Han , Zheng Vitto Han , Zengming Meng , Jing Zhang

Topologically engineered optical materials support robust light transport. Herein, the investigated non-Hermitian lattice is trimerized and inhomogeneously coupled using uniform intracell coupling. The topological properties of the coupled…

介观与纳米尺度物理 · 物理学 2018-03-20 L. Jin

Existence of nontrivial topological phases in a tight binding Haldane-like model on the depleted Lieb lattice is reported. This two-band model is formulated by considering the nearest-neighbor, next-nearest-neighbor and…

介观与纳米尺度物理 · 物理学 2023-12-18 Arghya Sil , Asim Kumar Ghosh

Materials with non-trivial lattice geometries allow for the creation of exotic states of matter like topologically insulating states. Therefore searching for such materials is an important aspect of current research in solid-state physics.…

量子气体 · 物理学 2015-06-12 O. Dutta , A. Przysiezna , M. Lewenstein

We show that one-dimensional quasi-periodic optical lattice systems can exhibit edge states and topological phases which are generally believed to appear in two-dimensional systems. When the Fermi energy lies in gaps, the Fermi system on…

量子气体 · 物理学 2012-08-02 Li-Jun Lang , Xiaoming Cai , Shu Chen

Phase-change materials are ubiquitous in technology because of their ability to transition between amorphous and crystalline phases fast and reversibly, upon shining light or passing a current. Here we argue that to fully understand their…

介观与纳米尺度物理 · 物理学 2023-02-02 Quentin Marsal , Dániel Varjas , Adolfo G. Grushin

We report the appearance of multiple numbers of completely flat band states in an extended Lieb lattice model in two dimensions with five atomic sites per unit cell. We also show that this edge-centered square lattice can host intriguing…

强关联电子 · 物理学 2020-01-07 Ankita Bhattacharya , Biplab Pal

Flat-band states in topological systems provide a unique platform for investigating strongly correlated phenomena and many body physics. However, in 2D static tight-binding systems, perfectly flat bands can only exist in the topologically…

光学 · 物理学 2026-01-28 Bo Leng , Vien Van

Flat bands and dispersive Dirac bands are known to coexist in the electronic bands in a two-dimensional kagome lattice. Including the relativistic spin-orbit coupling, such systems often exhibit nontrivial band topology, allowing for…

强关联电子 · 物理学 2022-08-09 Satoshi Okamoto , Narayan Mohanta , Elbio Dagotto , D. N. Sheng

Periodic stacking of topologically trivial and non-trivial layers with opposite symmetry of the valence and conduction bands induces topological interface states that, in the strong coupling limit, hybridize both across the topological and…

介观与纳米尺度物理 · 物理学 2021-06-16 G. Krizman , B. A. Assaf , G. Bauer , G. Springholz , L. A. de Vaulchier , Y. Guldner
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