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Theories have revealed the universality of the band tilting effect in topological Weyl semimetals (WSMs) and its implications for the material's physical properties. However, the experimental identification of tilted Weyl bands remains much…

We consider effects of spatial dispersion in noncentrosymmetric time-reversal invariant Weyl metals in the presence of a static magnetic field. In particular, we study currents that are linear in both the spatial derivatives of an applied…

Mesoscale and Nanoscale Physics · Physics 2022-07-12 S. Nandy , D. A. Pesin

The multiferroic ferrimagnet Cu$_2$OSeO$_3$ with a chiral crystal structure attracted a lot of recent attention due to the emergence of magnetic skyrmion order in this material. Here, the topological properties of its magnon excitations are…

Previous work has shown that time-reversal symmetric Weyl semimetals with a quadrupolar arrangement of first-order Weyl nodes exhibit a mixed crystalline-electromagnetic response. For systems with higher order Weyl nodes, which are attached…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Mark R. Hirsbrunner , Alexander D. Gray , Taylor L. Hughes

Weyl fermions, which are fermions with definite chiralities, can give rise to anomalous breaking of the symmetry of the physical system which they are a part of. In their (3+1)-dimensional realizations in condensed matter systems, i.e., the…

Mesoscale and Nanoscale Physics · Physics 2014-10-17 Jimmy A. Hutasoit , Jiadong Zang , Radu Roiban , Chao-Xing Liu

The existence and topological classification of lower-dimensional Fermi surfaces is often tied to the crystal symmetries of the underlying lattice systems. Artificially engineered lattices, such as heterostructures and other superlattices,…

Mesoscale and Nanoscale Physics · Physics 2017-12-08 Jan Behrends , Jun-Won Rhim , Shang Liu , Adolfo G. Grushin , Jens H. Bardarson

Since the early days of Dirac flux quantization, magnetic monopoles have been sought after as a potential corollary of quantized electric charge. As opposed to magnetic monopoles embedded into the theory of electromagnetism, Weyl crystals…

In three-dimensional noncentrosymmetric materials two-fold screw rotation symmetry forces electron's energy bands to have Weyl points at which two bands touch. This is illustrated for space groups No. 19 ($P2_12_12_1$) and No. 198…

Materials Science · Physics 2017-06-09 Akira Furusaki

Weyl fermions are hypothetical chiral particles that can also manifest as excitations near three-dimensional band crossing points in lattice systems. These quasiparticles are subject to the Nielsen-Ninomiya "no-go" theorem when placed on a…

Mesoscale and Nanoscale Physics · Physics 2024-08-07 André Grossi Fonseca , Sachin Vaidya , Thomas Christensen , Mikael C. Rechtsman , Taylor L. Hughes , Marin Soljačić

Realizing Weyl semimetals (WSMs) with the minimal number of Weyl points (WPs) fundamentally simplifies extracting intrinsic topological responses. While a minimum of four conventional ($|C|=1$) WPs in nonmagnetic crystals is…

Materials Science · Physics 2026-04-09 Yun-Yun Bai , Ke-Xin Pang , Yan Gao

Transport of charge and valley degrees of freedom coupled to order-parameter dynamics in magnetic Weyl semimetals is studied in the framework of nonequilibrium thermodynamics. In addition to the established valley-related transport…

Mesoscale and Nanoscale Physics · Physics 2021-02-10 Yaroslav Tserkovnyak

We propose a one-parameter family of noninteracting lattice models for Weyl semimetals with 4 Weyl nodes and tunable Fermi arcs. These 2-band model Hamiltonians are time-reversal symmetric with $\mathrm{T}^2 = + 1$, and tuning the parameter…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Vatsal Dwivedi , Srinidhi T Ramamurthy

Recently discovered Weyl semimetals (WSM) have found special place in topological condensed matter studies for they represent first example of massless Weyl fermions found in condensed matter systems. A WSM shows gapless bulk energy spectra…

Strongly Correlated Electrons · Physics 2021-02-23 Satyaki Kar , Arun M Jayannavar

Ferroelectric GeTe is unveiled to exhibit an intriguing multiple non-trivial topology of the electronic band structure due to the existence of triple-point and type-II Weyl fermions, which goes well beyond the giant Rashba spin splitting…

PrAlSi, a non-centrosymmetric ferromagnetic Weyl semimetal candidate with a Curie temperature of 17.8K, offers a unique platform for exploring the interplay of symmetry breaking and topological electronic structures. Up to now, the Weyl…

Weyl photons appear when two three-dimensional photonic bands with linear dispersion are degenerate at a single momentum point, labeled as Weyl point. These points have remarkable properties such as being robust topological monopoles of…

We investigate the interplay of many-body and band structure effects of interacting Weyl semimetals (WSM). Attractive and repulsive Hubbard interactions are studied within a model for a time-reversal-breaking WSM with tetragonal symmetry,…

Strongly Correlated Electrons · Physics 2017-01-06 Manuel Laubach , Christian Platt , Ronny Thomale , Titus Neupert , Stephan Rachel

By means of $ab \ initio$ band structure methods and model Hamiltonians we investigate the electronic, spin and topological properties of four monopnictides crystallizing in body centered tetragonal structure. We show that the Weyl bands…

Materials Science · Physics 2024-02-07 Davide Grassano , Olivia Pulci , Elena Cannuccia , Friedhelm Bechstedt

Due to the many unique transport properties of Weyl semimetals, they are promising materials for modern electronics. We investigate the electrons in the strong coupling approximation near Weyl points based on their representation as…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 Mariya Iv. Trukhanova , Pavel Andreev

Despite of a rapidly expanding inventory of possible crystalline Weyl semimetals, all of them are constrained by the Nielsen-Ninomiya no-go theorem, namely, that left- and right-handed Weyl points appear in pairs. With time-reversal (T)…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Zhi-Ming Yu , Weikang Wu , Y. X. Zhao , Shengyuan A. Yang