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Fermions in nature come in several types: Dirac, Majorana and Weyl are theoretically thought to form a complete list. Even though Majorana and Weyl fermions have for decades remained experimentally elusive, condensed matter has recently…

Mesoscale and Nanoscale Physics · Physics 2015-12-01 Alexey A. Soluyanov , Dominik Gresch , Zhijun Wang , QuanSheng Wu , Matthias Troyer , Xi Dai , B. Andrei Bernevig

Dirac and Weyl semimetals, materials where electrons behave as relativistic fermions, react to position- and time-dependent perturbations, such as strain, as if emergent electromagnetic fields were applied. Since they differ from external…

Mesoscale and Nanoscale Physics · Physics 2020-01-10 Roni Ilan , Adolfo G. Grushin , Dmitry I. Pikulin

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

The discovery of relativistic spin-1/2 fermions such as Dirac and Weyl fermions in condensed-matter or artificial systems opens a new era in modern physics. An interesting but rarely explored question is whether other relativistic spinal…

Quantum Gases · Physics 2017-12-05 Yan-Qing Zhu , Dan-Wei Zhang , Hui Yan , Ding-Yu Xing , Shi-Liang Zhu

The behavior of electrons in strained graphene is usually described using effective pseudomagnetic fields in a Dirac equation. Here we consider the particular case of a spatially constant strain. Our results indicate that lattice…

Mesoscale and Nanoscale Physics · Physics 2013-09-10 M. Oliva-Leyva , G. G. Naumis

Relativistic massless Weyl and Dirac fermions exhibit the isotropic and linear dispersion relations to preserve the Poincar\'{e} symmetry, the most fundamental symmetry in high energy physics. In solids, the counterparts of the Poincar\'{e}…

Materials Science · Physics 2020-08-12 Weikang Wu , Zhi-Ming Yu , Xiaoting Zhou , Y. X. Zhao , Shengyuan A. Yang

Disorder in spin-orbit (SO) coupling is an important feature of real low-dimensional electron structures. We study spin relaxation due to such a disorder as well as resulting abilities of spin manipulation. The spin relaxation reveals…

Mesoscale and Nanoscale Physics · Physics 2009-09-03 V. K. Dugaev , E. Ya. Sherman , V. I. Ivanov , J. Barnas

The electron-electron Coulomb interaction in Dirac-Weyl semimetals harbours a novel paradigm of correlation effects that hybridizes diverse realms of solid-state physics with their relativistic counterpart. Driving spontaneous mass…

Strongly Correlated Electrons · Physics 2020-09-30 Daigo Ohki , Michihiro Hirata , Takehiro Tani , Kazushi Kanoda , Akito Kobayashi

The theoretical dispersion of higher fold excitations are typically governed by space group symmetry. However, physical factors affecting local structural and electronic environment such as atomic arrangement, orbital overlaps, etc.,…

Materials Science · Physics 2026-04-07 Roopam Pandey , Sudhir K Pandey

We study the influence of a localized Gaussian deformation on massless Dirac fermions confined to a two-dimensional curved surface. Both in-plane and out-of-plane displacements are considered within the framework of elasticity theory. These…

Mesoscale and Nanoscale Physics · Physics 2026-02-09 Samuel B. B. Almeida , J. E. G. Silva , C. A. S. Almeida

Anderson localization of classical waves in disordered media is a fundamental physical phenomenon that has attracted attention in the past three decades. More recently, localization of polar excitations in nanostructured metal-dielectric…

Optics · Physics 2007-05-23 Vadim A. markel

The realization that electron localization in disordered systems (Anderson localization) is ultimately a wave phenomenon has led to the suggestion that photons could be similarly localized by disorder. This conjecture attracted wide…

Disordered Systems and Neural Networks · Physics 2017-05-10 A. A. Chabanov , M. Stoytchev , A. Z. Genack

We investigate the non-Fermi-liquid behaviors of the 2D and 3D Dirac/Weyl systems with low-order and higher order dispersion. The self-energy correction, symmetry, free energy, optical conductivity, density of states, and spectral function…

Strongly Correlated Electrons · Physics 2019-10-02 Chen-Huan Wu

Topological materials have attracted considerable experimental and theoretical attention. They exhibit strong spin-orbit coupling both in the band structure (intrinsic) and in the impurity potentials (extrinsic), although the latter is…

Mesoscale and Nanoscale Physics · Physics 2017-08-17 Weizhe Edward Liu , Ewelina M. Hankiewicz , Dimitrie Culcer

Using the Feynman diagram techniques, we derive the finite-temperature conductivity and magnetoconductivity formulas from the quantum interference and electron-electron interaction, for a three-dimensional disordered Weyl semimetal. For a…

Mesoscale and Nanoscale Physics · Physics 2015-07-15 Hai-Zhou Lu , Shun-Qing Shen

The effect of weak localization on spin relaxation in a two-dimensional system with a spin-split spectrum is considered. It is shown that the spin relaxation slows down due to the interference of electron waves moving along closed paths in…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. S. Lyubinskiy , V. Yu. Kachorovskii

Kondo lattice models have established themselves as an ideal platform for studying the interplay between topology and strong correlations such as in topological Kondo insulators or Weyl-Kondo semimetals. The nature of these systems requires…

Strongly Correlated Electrons · Physics 2022-05-10 Colin Rylands , Alireza Parhizkar , Victor Galitski

Multi-band touchings such as 3-band, 6-band and 8-band touchings together with the emergence of high pseudospin fermions were predicted recently at high-symmetry points in three-dimensional space. In this paper, we propose a simple cubic…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Motohiko Ezawa

The interplay between disorder and quantum interference leads to a wide variety of physical phenomena including celebrated Anderson localization -- the complete absence of diffusive transport due to quantum interference between different…

Disordered Systems and Neural Networks · Physics 2025-02-21 Jonathan B. Curtis , Prineha Narang , Victor Galitski

Strong electron correlations lie at the origin of transformative phenomena such as colossal magneto-resistance and high-temperature superconductivity. Already near room temperature, doped copper oxide materials display remarkable features…