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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 long fascination antiferromagnetic materials have exerted on the scientific community over about a century has been entirely renewed recently with the discovery of several unexpected phenomena including various classes of anomalous spin…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 V. Bonbien , Fengjun Zhuo , A. Salimath , O. Ly , A. Abbout , A. Manchon

Understanding Dirac-like Fermions has become an imperative in modern condensed matter sciences: all across its research frontier, from graphene to high T$_c$ superconductors to the topological insulators and beyond, various electronic…

Mesoscale and Nanoscale Physics · Physics 2014-03-25 Oskar Vafek , Ashvin Vishwanath

Topological semimetals with massless Dirac and Weyl fermions represent the forefront of quantum materials research. In two dimensions (2D), a peculiar class of fermions that are massless in one direction and massive in the perpendicular…

The standard theory of metals, Fermi liquid theory, hinges on the key assumption that although the electrons interact, the low-energy excitation spectrum stands in a one-to-one correspondence with that of a non-interacting system. In the…

Strongly Correlated Electrons · Physics 2015-05-13 Philip Phillips , Ting-Pong Choy , Robert G. Leigh

Nesting in a semimetal can lead to an excitonic insulator state with spontaneous coherence between conduction and valence bands and a gap for charged excitations. In this paper we present a theory of the ferromagnetic state that occurs when…

Strongly Correlated Electrons · Physics 2009-11-07 E. Bascones , A. A. Burkov , A. H. MacDonald

Topological materials, such as topological insulators or semimetals, usually not only reveal the nontrivial properties of their electronic wavefunctions through the appearance of stable boundary modes, but also through very specific…

Isolated flat bands with significantly quenched kinetic energy of electrons could give rise to exotic strongly correlated states from electron-electron interactions. More intriguingly, the interplay between topology and flat bands can…

Mesoscale and Nanoscale Physics · Physics 2024-08-19 Huaiqiang Wang , Yiliang Fan , Haijun Zhang

We study a topological phase diagram of a ferromagnetic topological nodal semimetal. We consider a lattice model for three-dimensional topological insulators with ferromagnetic ordering. The exchange coupling between the magnetization and…

Mesoscale and Nanoscale Physics · Physics 2019-10-04 Yuya Ominato , Ai Yamakage , Kentaro Nomura

There are two prominent applications of the mathematical concept of topology to the physics of materials: band topology, which classifies different topological insulators and semimetals, and topological defects that represent immutable…

Materials Science · Physics 2022-08-11 Zhi-Kang Lin , Qiang Wang , Yang Liu , Haoran Xue , Baile Zhang , Yidong Chong , Jian-Hua Jiang

This paper is devoted to topological phenomena in normal metals with rather complicated Fermi surface. The results of the article are based on the deep topological theorems concerning the geometry of non-compact plane sections of level…

Condensed Matter · Physics 2009-10-30 S. P. Novikov , A. Ya. Maltsev

In this paper, a phenomenological theory of saturated ferromagnetoelastic conductors is established using a multi-continuum model and the classical laws of mechanics, thermodynamics and electromagnetics. The theory is nonlinear and is valid…

Materials Science · Physics 2023-08-01 Jiashi Yang

Recent interest in point and line node semimetals has led to the proposal and discovery of these phenomena in numerous systems. Frequently, though, these nodal systems are described in terms of individual properties reliant on specific…

Mesoscale and Nanoscale Physics · Physics 2016-10-12 Benjamin J. Wieder , C. L. Kane

There is a recent upsurge of interests in flat bands in condensed-matter systems and the consequences for magnetism and superconductivity. This article highlights the physics, where peculiar quantum-mechanical mechanisms for the physical…

Superconductivity · Physics 2025-10-23 Hideo Aoki

Recently, in certain flat band lattice systems at commensurate fillings, fractional quantum Hall states have been found -- which have anyonic excitations. We study such systems away from commensuration, i.e. the ground state of an anyon gas…

Strongly Correlated Electrons · Physics 2013-11-13 Evelyn Tang , Xiao-Gang Wen

Chiral topological orders formed in correlated fermion systems have been widely explored. However, the mechanism on how they emerge from interacting fermions is still unclear. Here, we propose a susceptibility condition. Under this…

Strongly Correlated Electrons · Physics 2024-06-26 Rui Wang , Tao Yang , Z. Y. Xie , Baigeng Wang , X. C. Xie

Nodal links are special configurations of band degeneracies in the momentum space, where nodal line branches encircle each other. In PT symmetric systems, nodal lines can be topologically characterized using the eigenvector frame rotations…

Topological media are gapped or gapless fermionic systems, whose properties are protected by topology, and thus are robust to deformations of parameters of the system and generic. We discuss the class of gapless topological media, which…

Superconductivity · Physics 2015-09-30 G. E. Volovik

The topological singularity of the Bloch states close to the Fermi level significantly enhances nonlinear electric responses in topological semimetals. Here, we systematically characterize this enhancement for a large class of topological…

Mesoscale and Nanoscale Physics · Physics 2023-05-22 Junyeong Ahn

The complete lack of theoretical understanding of the quantum critical states found in the heavy fermion metals and the normal states of the high-T$_c$ superconductors is routed in deep fundamental problem of condensed matter physics: the…

Strongly Correlated Electrons · Physics 2008-07-08 Frank Krüger , Jan Zaanen