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We study topological states of matter in quasicrystals, which do not rely on crystalline orders. In the absence of a bandstructure description and spin-orbit coupling, we show that a three-dimensional quasicrystal can nevertheless form a…

Mesoscale and Nanoscale Physics · Physics 2024-10-29 Zhu-Guang Chen , Cunzhong Lou , Kaige Hu , Lih-King Lim

We introduce a class of topological lasers based on the photonic Floquet topological insulator concept. The proposed system is realized as a truncated array of the lasing helical waveguides, where the pseudo-magnetic field arises due to…

It is well-known that one signature of the three-dimensional electron topological insulator is the Witten effect: if the system is coupled to a compact electromagnetic gauge field, a monopole in the bulk acquires a half-odd-integer…

Strongly Correlated Electrons · Physics 2013-08-09 Max A. Metlitski , C. L. Kane , Matthew P. A. Fisher

We experimentally realized Floquet topological photonic insulators using a square lattice of direct-coupled octagonal resonators. Unlike previously reported topological insulator systems based on microring lattices, the nontrivial…

Optics · Physics 2020-07-01 Shirin Afzal , Tyler J. Zimmerling , Yang Ren , David Perron , Vien Van

Periodically-driven or Floquet systems can realize anomalous topological phenomena that do not exist in any equilibrium states of matter, whose classification and characterization require new theoretical ideas that are beyond the…

Mesoscale and Nanoscale Physics · Physics 2020-10-27 Rui-Xing Zhang , Zhi-Cheng Yang

We propose to Floquet-engineer Dirac cones at the surface of a three-dimensional topological insulator. We show that a large tunability of the Fermi velocity can be achieved as a function of the polarization, direction and amplitude of the…

Mesoscale and Nanoscale Physics · Physics 2019-08-14 A. Diaz-Fernandez , E. Diaz , Álvaro Gómez-León , Gloria Platero , F. Domínguez-Adame

When electrons are subject to a large external magnetic field, the conventional charge quantum Hall effect \cite{Klitzing,Tsui} dictates that an electronic excitation gap is generated in the sample bulk, but metallic conduction is permitted…

Mesoscale and Nanoscale Physics · Physics 2009-10-14 D. Hsieh , D. Qian , L. Wray , Y. Xia , Y. S. Hor , R. J. Cava , M. Z. Hasan

Control of topological edge modes is desirable for encoding quantum information resiliently against external noise. Their implementation on quantum hardware, however, remains a long-standing problem due to current limitations of circuit…

Quantum Physics · Physics 2024-08-13 Miguel Mercado , Kyle Chen , Parth Darekar , Aiichiro Nakano , Rosa Di Felice , Stephan Haas

The Berry phase associated with energy bands in crystals can lead to quantized quantities, such as the quantization of electric dipole polarization in an insulator, known as a one-dimensional (1D) topological insulator (TI) phase. Recent…

Mesoscale and Nanoscale Physics · Physics 2022-09-27 Haoran Xue , Yong Ge , Hong-Xiang Sun , Qiang Wang , Ding Jia , Yi-Jun Guan , Shou-Qi Yuan , Yidong Chong , Baile Zhang

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

Statistical Mechanics · Physics 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

Topological materials, known for their edge states robust against local perturbations, hold promise for next-generation quantum technologies, but remain scarce in nature and challenging to realize in static systems. The Su-Schrieffer-Heeger…

Topological states of quantum matter have inspired both fascinating physics findings and exciting opportunities for applications. Due to the over-complicated structure of, as well as interactions between, real materials, a faithful quantum…

Quantum Physics · Physics 2021-04-19 Jia Liu , Jun-Yi Cao , Gang Chen , Zheng-Yuan Xue

We construct continuum models of 3D and 4D topological insulators by coupling spin-1/2 fermions to an SU(2) background gauge field, which is equivalent to a spatially dependent spin-orbit coupling. Higher dimensional generalizations of flat…

Strongly Correlated Electrons · Physics 2013-11-01 Yi Li , Shou-Cheng Zhang , Congjun Wu

A 3D fermionic topological insulator has a gapless Dirac surface state protected by time-reversal symmetry and charge conservation symmetry. The surface state can be gapped by introducing ferromagnetism to break time-reversal symmetry,…

Strongly Correlated Electrons · Physics 2013-09-24 Parsa Bonderson , Chetan Nayak , Xiao-Liang Qi

Floquet engineering is one of the most vigorous fields in periodically driven (Floquet) systems, with which we can control phases of matter usually by high-frequency drives. In this paper, with Floquet engineering by a combination of…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Kaoru Mizuta , Kazuaki Takasan , Norio Kawakami

We theoretically investigate a periodically driven semimetal based on a square lattice. The possibility of engineering both Floquet Topological Insulator featuring Floquet edge states and Floquet higher order topological insulating phase,…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Arnob Kumar Ghosh , Ganesh C. Paul , Arijit Saha

Confined electronic states and optical transitions in 3D topological insulator nanoparticles have been studied in the literature, assuming idealized geometries such as spheres or infinitely long cylinders, that allow to obtain analytical…

Mesoscale and Nanoscale Physics · Physics 2022-03-03 Jorge David Castaño-Yepes , Enrique Muñoz

Nitrogen-vacancy centers in diamond are ideal platforms for quantum simulation, which allows one to handle problems that are intractable theoretically or experimentally. Here we propose a digital quantum simulation scheme to simulate the…

Quantum Physics · Physics 2015-06-17 Chenyong Ju , Chao Lei , Xiangkun Xu , Dimitrie Culcer , Zhenyu Zhang , Jiangfeng Du

The interplay between many-body interactions and the kinetic energy gives rise to rich phase diagrams hosting, among others, interaction-induced topological phases. These phases are characterized by both a local order parameter and a global…

We propose a novel way of modulating exceptional topology by implementing Floquet engineering in non-hermitian (NH) systems. We introduce Floquet exceptional topological insulator which results from shining light on a conventional…

Mesoscale and Nanoscale Physics · Physics 2024-02-23 Gaurab Kumar Dash , Subhajyoti Bid , Manisha Thakurathi