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Topological insulators are a new class of materials that have attracted significant attention in contemporary condensed matter physics. They are different from the regular insulators and they display novel quantum properties that also…

Mesoscale and Nanoscale Physics · Physics 2020-06-19 Navketan Batra , Goutam Sheet

We propose how to realize the topological modes, which correspond to topological zero modes for a quantum system, protected by chiral and rotation symmetry for a mechanical system. Specifically, we show the emergence of topological modes…

Mesoscale and Nanoscale Physics · Physics 2020-07-10 Hiromasa Wakao , Tsuneya Yoshida , Tomonari Mizoguchi , Yasuhiro Hatsugai

We study edge states in AB-stacked bilayer graphene (BLG) ribbon where the Chern number of the corresponding two-dimensional (2D) bulk Hamiltonian is zero. The existence and topological features of edge states when two layers ended with the…

Mesoscale and Nanoscale Physics · Physics 2021-12-22 Tixuan Tan , Ci Li , Wang Yao

We consider a Su-Schrieffer-Heeger chain to which we attach a semi-infinite undimerized chain (lead) to both ends. We study the effect of the openness of the SSH model on its properties. A representation of the infinite system using an…

Mesoscale and Nanoscale Physics · Physics 2023-07-03 Alexei Bissonnette , Nicolas Delnour , Andrew Mckenna , Hichem Eleuch , Michael Hilke , Richard MacKenzie

Quantum spin Hall insulators (QSHIs), also known as two-dimensional topological insulators, have emerged as an unconventional class of quantum states with insulating bulk and conducting edges originating from nontrivial inverted band…

Mesoscale and Nanoscale Physics · Physics 2016-11-11 Takafumi Akiho , François Couëdo , Hiroshi Irie , Kyoichi Suzuki , Koji Onomitsu , Koji Muraki

The interaction between the quantum emitter and topological photonic system makes both the emitter and the photon behave in exotic ways. We here study a system that a giant atom is coupled to two points of a one-dimensional topological…

Quantum Physics · Physics 2022-10-18 Weijun Cheng , Zhihai Wang , Yu-xi Liu

We report an observation of a topologically protected transport of surface carriers in a quasi-ballistic Cd3As2 nanowire.The nanowire is thin enough for the spin-textured surface carriers to form 1D subbands, demonstrating conductance…

Mesoscale and Nanoscale Physics · Physics 2017-07-18 Ben-Chuan Lin , Shuo Wang , Li-Xian Wang , Cai-Zhen Li , Jin-Guang Li , Dapeng Yu , Zhi-Min Liao

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

The Su-Schrieffer-Heeger (SSH) model, containing dimerized hopping and a constant onsite energy, has become a paradigmatic model for one-dimensional topological phases, soliton excitations and fractionalized charge in the presence of chiral…

Strongly Correlated Electrons · Physics 2020-06-08 Wojciech Brzezicki , Timo Hyart

We investigate the topological properties of one-dimensional weakly interacting topological insulators using bosonization. To do that we study the topological edge states that emerge at the edges of a model realized by a strong impurity or…

Mesoscale and Nanoscale Physics · Physics 2026-03-30 Polina Matveeva , Dmitri Gutman , Sam T. Carr

Topological edge states at the boundary of quantum spin Hall (QSH) insulators hold great promise for dissipationless electron transport. The device application of topological edge states has several critical requirements for the QSH…

Materials Science · Physics 2015-01-13 Jin-Jian Zhou , Wanxiang Feng , Gui-Bin Liu , Yugui Yao

Flat bands play an important role in diffraction-free photonics and attract fundamental interest in many-body physics. Here we report the engineering of flat-band localization of collective excited states of atoms in Creutz superradiance…

Quantum Physics · Physics 2021-03-17 Yanyan He , Ruosong Mao , Han Cai , Jun-Xiang Zhang , Yongqiang Li , Luqi Yuan , Shi-Yao Zhu , Da-Wei Wang

At partial filling of a flat band, strong electronic interactions may favor gapped states harboring emergent topology with quantized Hall conductivity. Emergent topological states have been found in partially filled Landau levels and…

We introduce new three-dimensional topological phases of two-band models using the Pontryagin-Thom construction. In symmetry class A these are the infinitely many Hopf-Chern topological insulators, which are hybrids of layered Chern…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 Ricardo Kennedy

The search for new realization of topologically protected edge states is an active area of research. We show that a tilt boundary in gated multi-layer graphene supports topologically protected gapless kink states, associated with quantum…

Mesoscale and Nanoscale Physics · Physics 2013-06-27 Abolhassan Vaezi , Yufeng Liang , Darryl H. Ngai , Li Yang , Eun-Ah Kim

Epitaxial bismuthene on SiC(0001) hosts symmetry-protected metallic edge states within a large bulk band gap, establishing it as a promising two-dimensional topological insulator for hightemperature quantum spin Hall (QSH) transport. Here…

A two-dimensional second-order topological insulator exhibits topologically protected zero-energy states at its corners. In the literature, the breathing kagome lattice with nearest-neighbor hopping is often mentioned as an example of a…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Clara K. Geschner , Adam Yanis Chaou , Vatsal Dwivedi , Piet W. Brouwer

The quantum spin hall (QSH) phase, also known as the 2D topological insulator, is characterized by protected helical edge modes arising from time reversal symmetry. While initially proposed for band insulators, this phase can also manifest…

Strongly Correlated Electrons · Physics 2024-03-26 Yixin Ma , Shenghan Jiang , Chao Xu

We analyze the detailed structure of topological edge mode protection occuring in hexagonal quantum spin Hall (QSH) materials. We focus on bismuthene, antimonene, and arsenene on a SiC substrate, which, due to their large bulk gap, may…

Mesoscale and Nanoscale Physics · Physics 2018-10-31 Fernando Dominguez , Benedikt Scharf , Gang Li , Jörg Schäfer , Ralph Claessen , Werner Hanke , Ronny Thomale , Ewelina M. Hankiewicz

We analyze interacting ultra-cold bosonic atoms in a one-dimensional (1D) super-lattice potential with alternating tunneling rates t_1 and t_2 and inversion symmetry, which is the bosonic analogue of the Su-Schrieffer-Heeger (SSH) model. A…

Quantum Gases · Physics 2014-10-08 Fabian Grusdt , Michael Höning , Michael Fleischhauer