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The effect of the strong electron correlation on the topological phase structure of 2-dimensional (2D) and 3D topological insulators is investigated, in terms of lattice gauge theory. The effective model for noninteracting system is…

强关联电子 · 物理学 2013-11-18 Yasufumi Araki , Taro Kimura , Akihiko Sekine , Kentaro Nomura , Takashi Z. Nakano

The possibility of realizing topological insulators by spontaneous formation of electronic superstructure is theoretically investigated in a minimal two-orbital model including both the spin-orbit coupling and electron correlations on a…

强关联电子 · 物理学 2016-06-21 Yusuke Sugita , Yukitoshi Motome

The discovery of higher-order topological insulator (HOTI) has established a new paradigm for understanding symmetry-constrained boundary electronic states. Here, based on first-principles calculations, we demonstrate the emergence of HOTI…

Topological insulators are studied via tight-binding approximations of longitudinally driven photonic lattices with three lattice sites per unit cell. Two cases are considered in detail: Lieb and Kagome lattices. The lattice is decomposed…

斑图形成与孤子 · 物理学 2019-03-27 Mark J. Ablowitz , Justin T. Cole

Gapless Dirac surface states are protected at the interface of topological and normal band insulators. In a binary superlattice bearing such interfaces, we establish that valley-dependent dimerization of symmetry-unrelated Dirac surface…

材料科学 · 物理学 2014-10-31 Xiao Li , Fan Zhang , Qian Niu , Ji Feng

We discuss physical properties of `integer' topological phases of bosons in D=3+1 dimensions, protected by internal symmetries like time reversal and/or charge conservation. These phases invoke interactions in a fundamental way but do not…

强关联电子 · 物理学 2013-03-14 Ashvin Vishwanath , T. Senthil

Two-dimensional higher-order topology is usually studied in (nearly) particle-hole symmetric models, so that an edge gap can be opened within the bulk one. But more often deviates the edge anticrossing even into the bulk, where corner…

介观与纳米尺度物理 · 物理学 2022-12-07 Junjie Zeng , Chen Chen , Yafei Ren , Zheng Liu , Wei Ren , Zhenhua Qiao

Topological insulators are new quantum states with helical gapless edge or surface states inside the bulk band gap.These topological surface states are robust against the weak time-reversal invariant perturbations, such as lattice…

介观与纳米尺度物理 · 物理学 2013-08-07 Haijun Zhang , Shou-Cheng Zhang

Topological insulators with unique gapless edge states have revolutionized the understanding of electronic properties in solid materials. These gapless edge states are dictated by the topological invariants associated with the quantization…

介观与纳米尺度物理 · 物理学 2019-06-05 Xiujuan Zhang , Hai-Xiao Wang , Zhi-Kang Lin , Yuan Tian , Biye Xie , Ming-Hui Lu , Yan-Feng Chen , Jian-Hua Jiang

Higher symmetries can emerge at low energies in a topologically ordered state with no symmetry, when some topological excitations have very high energy scales while other topological excitations have low energies. The low energy properties…

强关联电子 · 物理学 2020-01-15 Lokman Tsui , Xiao-Gang Wen

In topological phases of matter, the interplay between intrinsic topological order and global symmetry is an interesting task. In the study of topological orders with discrete global symmetry, an important systematic approach is the…

强关联电子 · 物理学 2020-08-12 Jing-Yuan Chen

We propose that a spin-dependent second-order topological insulator can be realized in monolayer FeSe/GdClO heterostructure, in which substrate GdClO helps to stabilize and enhance the antiferromagnetic order in FeSe. The second-order…

介观与纳米尺度物理 · 物理学 2023-06-16 Qing Wang , Rui Song , Ning Hao

Following an earlier construction of exactly soluble lattice models for abelian fractional topological insulators in two and three dimensions, we construct here an exactly soluble lattice model for a non-abelian $\nu=1$ quantum Hall state…

强关联电子 · 物理学 2013-11-28 Maciej Koch-Janusz , Michael Levin , Ady Stern

Higher-order topological insulators are established as topological crystalline insulators protected by crystalline symmetries. One celebrated example is the second-order topological insulator in three dimensions that hosts chiral hinge…

介观与纳米尺度物理 · 物理学 2021-05-21 Jiong-Hao Wang , Yan-Bin Yang , Ning Dai , Yong Xu

The system of spinless fermions on a hexagonal lattice is studied . We have considered tight-binding model with the hopping integrals between the nearest-neighbor and next-nearest-neighbor lattice sites, that depend on the direction of the…

强关联电子 · 物理学 2017-04-27 Igor N. Karnaukhov

The classification of topological insulators predicts the existence of high-dimensional topological phases that cannot occur in real materials, as these are limited to three or fewer spatial dimensions. We use electric circuits to…

介观与纳米尺度物理 · 物理学 2020-06-03 You Wang , Hannah M. Price , Baile Zhang , Y. D. Chong

We construct a minimal four-band model for the two-dimensional (2D) topological insulators and quantum anomalous Hall insulators based on the $p_x$- and $p_y$-orbital bands in the honeycomb lattice. The multiorbital structure allows the…

介观与纳米尺度物理 · 物理学 2014-08-12 Gu-Feng Zhang , Yi Li , Congjun Wu

Topologically protected gapless edge/surface states are phases of quantum matter which behave as massless Dirac fermions, immunizing against disorders and continuous perturbations. Recently, a new class of topological insulators (TIs) with…

材料科学 · 物理学 2020-09-30 Baizhan Xia , Shengjie Zheng , Liang Tong , Junrui Jiao , Guiju Duan , Dejie Yu

Non-Hermitian systems enable continuous and smooth tuning of topological phases through externally controllable loss/gain parameters. Without altering the intrinsic lattice structure, merely fine-tuning the intensity or spatial distribution…

应用物理 · 物理学 2026-03-11 Shuanghuizhi Li , Bowei Wu , Tingfeng Ma , Jiaqi Zhang , Chenbowen Lou

In recent years, the interplay between non-Hermiticity and band topology is expected to uncover numerous novel physical phenomena. However, the majority of research has focused on periodic crystalline structures, with comparatively fewer…

介观与纳米尺度物理 · 物理学 2024-12-24 Xiaolu Zhu , Tan Peng , Fang Lyu , Wei Cao , Yue Hou , Rui Xiong , Ziyu Wang