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Strongly correlated analogues of topological insulators have been explored in systems with purely on-site symmetries, such as time-reversal or charge conservation. Here, we use recently developed tensor network tools to study a quantum…

Strongly Correlated Electrons · Physics 2015-11-11 Brayden Ware , Itamar Kimchi , S. A. Parameswaran , Bela Bauer

We review the contributions of surface science methods to discover and improve 3D topological insulator materials, while illustrating with examples from our own work. In particular, we demonstrate that spin-polarized angular-resolved…

We introduce a simple method to realize and detect photonic topological Chern insulators with one-dimensional circiut quantum electrodynamics arrays. By periodically modulating the couplings of the array, we show that this one-dimensional…

Quantum Physics · Physics 2015-10-21 Feng Mei , Jia-Bin You , Wei Nie , R. Fazio , Shi-Liang Zhu , L. C. Kwek

Twistronics, the manipulation of Moir\'e superlattices via the twisting of two layers of two-dimensional (2D) materials to control diverse and nontrivial properties, has recently revolutionized the condensed matter and materials physics.…

A single Dirac cone on the surface is the hallmark of three-dimensional (3D) topological insulators, where the double degeneracy at the Dirac point is protected by time-reversal symmetry and the spin-splitting away from the point is…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 Ling Lu , Chen Fang , Liang Fu , Steven G. Johnson , John D. Joannopoulos , Marin Soljačić

Disorder, which is ubiquitous in nature, has been extensively explored in photonics for understanding the fundamental principles of light diffusion and localization, as well as for applications in functional resonators and random lasers.…

Investigating dispersion surface morphology of sonic metamaterials is crucial in providing information on related phenomena as inertial coupling, acoustic transparency, polarisation, and absorption. In the present study, we look into…

Computational Physics · Physics 2017-07-10 V. N. Gorshkov , N. Navadeh , P. Sareh , V. V. Tereshchuk , A. S. Fallah

Topological metamaterials unlock confined and robust elastic wave control in mechanical structures. Recent breakthroughs have precipitated the development of 3D topological mechanical metamaterials, which extend beyond the conventional 1D…

Applied Physics · Physics 2023-10-30 Patrick Dorin , Mustafa Khan , K. W. Wang

The quantization of transport and its resilience to backscattering are key features for leveraging topological matter in applications that demand stringent noise mitigation, such as metrology and quantum information processing. Due to the…

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

Three dimensional (3D) topological insulators are quantum materials with a spin-orbit induced bulk insulating gap that exhibit quantum-Hall-like phenomena in the absence of applied magnetic fields. The proposed applications of topological…

Mesoscale and Nanoscale Physics · Physics 2009-07-20 Y. Xia , D. Qian , D. Hsieh , R. Shankar , H. Lin , A. Bansil , A. V. Fedorov , D. Grauer , Y. S. Hor , R. J. Cava , M. Z. Hasan

Topological photonic systems, with their ability to host states protected against disorder and perturbation, allow us to do with photons what topological insulators do with electrons. Topological photonics can refer to electronic systems…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Marie S. Rider , Samuel J. Palmer , Simon R. Pocock , Xiaofei Xiao , Paloma Arroyo Huidobro , Vincenzo Giannini

Recent progress in understanding the topological properties of condensed matter has led to the discovery of time-reversal invariant topological insulators. Because of limitations imposed by nature, topologically non-trivial electronic order…

Topological materials have gained significant attention in condensed matter physics due to their unique electronic and transport properties. Three-dimensional (3D) topological materials are characterized by robust electronic states that are…

Materials Science · Physics 2025-01-03 Jaime Sánchez-Barriga , Oliver J. Clark , Oliver Rader

A topologically protected ring-resonator formed in valley photonic crystals is proposed and fabricated on a silicon slab. The unidirectional transmission and robustness against structure defects of its resonant modes are illustrated.…

Three-dimensional topological insulators are characterized by insulating bulk state and metallic surface state involving Dirac fermions that behave as massless relativistic particles. These Dirac fermions are responsible for achieving a…

Robustness against small perturbations is a crucial feature of topological properties. This robustness is both a source of theoretical interest and a drive for technological applications, but presents a challenge when looking for new…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Cyrill Bösch , Tena Dubček , Frank Schindler , Andreas Fichtner , Marc Serra-Garcia

Symmetry Protected Topological (SPT) phases are a minimal generalization of the concept of topological insulators to interacting systems. In this paper we describe the classification and properties of such phases for three dimensional(3D)…

Strongly Correlated Electrons · Physics 2015-06-01 Chong Wang , T. Senthil

The concept of synthetic dimensions in photonics provides a versatile platform in exploring multi-dimensional physics. Many of these physics are characterized by band structures in more than one dimensions. Existing efforts on band…

Optics · Physics 2023-06-29 Dali Cheng , Eran Lustig , Kai Wang , Shanhui Fan

We construct exactly soluble lattice models for fractionalized, time reversal invariant electronic insulators in 2 and 3 dimensions. The low energy physics of these models is exactly equivalent to a non-interacting topological insulator…

Strongly Correlated Electrons · Physics 2013-05-29 Michael Levin , F. J. Burnell , Maciej Koch-Janusz , Ady Stern