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We propose a 3D topolectrical (TE) network that can be tuned to realize various higher-order topological gapless and chiral phases. We first study a higher-order Dirac semimetal phase that exhibits a hinge-like Fermi arc linking the Dirac…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 S. M. Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Mansoor B. A. Jalil

Weyl semimetal is a new quantum state of matter [1-12] hosting the condensed matter physics counterpart of relativisticWeyl fermion [13] originally introduced in high energy physics. The Weyl semimetal realized in the TaAs class features…

Three-dimensional (3D) elastic phononic topological insulator, featuring two-dimensional (2D) surface states, which support the high-efficient and robust elastic wave propagation without backscattering in all spatial dimensions, remains a…

Topological acoustics has recently witnessed a spurt in research activity, owing to their unprecedented properties transcending typical wave phenomena. In recent years, the use of coupled arrays of acoustic chambers has gained popularity in…

Applied Physics · Physics 2023-05-04 Hasan Al Ba'ba'a , Kyung Hoon Lee , Qiming Wang

We investigate the effect of the incommensurate potential on Weyl semimetal, which is proposed to be realized in ultracold atomic systems trapped in three-dimensional optical lattices. For the system without the Fermi arc, we find that the…

Disordered Systems and Neural Networks · Physics 2017-05-31 Yucheng Wang , Shu Chen

Fermi arcs, i.e., surface states connecting topologically-distinct Weyl points, represent a paradigmatic manifestation of the topological aspects of Weyl physics. Here, we investigate a light-matter interface based on the photonic…

The Weyl semimetals [1-6] are three-dimensional (3D) gapless topological phases with Weyl cones in the bulk band, and host massless quasiparticles known as Weyl fermions which were theorized by Hermann Weyl in the last twenties [7]. The…

Weyl semimetals are expected to open up new horizons in physics and materials science because they provide the first realization of Weyl fermions and exhibit protected Fermi arc surface states. However, they had been found to be extremely…

Weyl semimetals in three-dimensional crystals provide the paradigm example of topologically protected band nodes. It is usually taken for granted that a pair of colliding Weyl points annihilate whenever they carry opposite chiral charge. In…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Adrien Bouhon , QuanSheng Wu , Robert-Jan Slager , Hongming Weng , Oleg V. Yazyev , Tomáš Bzdušek

We show how to realize topologically protected crossings of three energy bands, integer-spin analogs of Weyl fermions, in three-dimensional optical lattices. Our proposal only involves ultracold atom techniques that have already been…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 I. C. Fulga , L. Fallani , M. Burrello

There is an immense effort in search for various types of Weyl semimetals, of which the most fundamental phase consists of the minimal number of i.e. two Weyl points, but is hard to engineer in solids. Here we demonstrate how such…

Quantum Gases · Physics 2020-11-11 Yue-Hui Lu , Bao-Zong Wang , Xiong-Jun Liu

Weyl semimetals (WSMs) constitute a 3D phase with linearly-dispersing Weyl excitations at low energy, which lead to unusual electrodynamic responses and open Fermi arcs on boundaries. We derive a simple criterion to identify and…

Strongly Correlated Electrons · Physics 2014-10-28 William Witczak-Krempa , Michael Knap , Dmitry Abanin

Topological states can be used to control the mechanical properties of a material along an edge or around a localized defect. The surface rigidity of elastic networks is characterized by a bulk topological invariant called the polarization;…

Soft Condensed Matter · Physics 2018-03-02 Guido Baardink , Anton Souslov , Jayson Paulose , Vincenzo Vitelli

Ten years after the experimental discovery of Weyl semimetals, theoretical and experimental work has pointed to the possibility of realizing surface-only superconductivity at relatively high temperatures in these materials. A consensus is…

Superconductivity · Physics 2026-04-30 Riccardo Vocaturo , Mattia Trama

In this article, we put forward a practical but generic approach towards constructing a large family of $(3+1)$ dimension lattice models which can naturally lead to a single Weyl cone in the infrared (IR) limit. Our proposal relies on…

High Energy Physics - Theory · Physics 2026-05-13 Gabriel Meyniel , Fei Zhou

The electronic structure of a cubic $\mathcal{T}$-symmetric Weyl semimetal is analysed in the presence of atomic-sized vacancy defects. Isolated vacancies are shown to generate nodal bound states with $r^{{\scriptscriptstyle -2}}$…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 J. P. Santos Pires , S. M. João , Aires Ferreira , B. Amorim , J. M. Viana Parente Lopes

In this work, we investigate theoretically and demonstrate experimentally the existence of valley-Hall edge states in the in-plane dynamics of honeycomb lattices with bi-valued strut thickness. We exploit these states to achieve non-trivial…

Applied Physics · Physics 2019-10-10 Jihong Ma , Kai Sun , Stefano Gonella

We investigate elastic periodic structures characterized by topologically nontrivial bandgaps supporting backscattering suppressed edge waves. These edge waves are topologically protected and are obtained by breaking inversion symmetry…

Soft Condensed Matter · Physics 2017-03-08 Raj Kumar Pal , Massimo Ruzzene

We provide a manifestly topological classification scheme for generalised Weyl semimetals, in any spatial dimension and with arbitrary Weyl surfaces which may be non-trivially linked. The classification naturally incorporates that of Chern…

Mesoscale and Nanoscale Physics · Physics 2018-06-22 Varghese Mathai , Guo Chuan Thiang

We study the single-particle spectrum of three-dimensional Weyl semimetals taking into account electron-phonon interactions that are the result of straining the material. We find that a well-defined fermionic excitation appears in addition…

Mesoscale and Nanoscale Physics · Physics 2019-11-04 E. C. I. van der Wurff , A. Cortijo