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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

The problem of deriving from microscopic theory a Ginzburg-Landau free energy functional to describe the Peierls or charge-density-wave transition in quasi-one-dimensional materials is considered. Particular attention is given to how the…

Condensed Matter · Physics 2009-10-28 Ross H. McKenzie

The work of our group on reproducing scenarios of high energy theoretical physics on Dirac materials, like graphene, is illustrated. The main goal of this paper is to explain how versatile these systems are, and how far and wide into the…

High Energy Physics - Theory · Physics 2020-05-26 Alfredo Iorio

We study light propagation in a neutral Weyl semimetal with the Fermi level lying at the Weyl nodes in the weak self-interacting regime. The nontrivial topology induces a screening effect in one of the two transverse gauge fields, for which…

Mesoscale and Nanoscale Physics · Physics 2016-06-14 Yago Ferreiros , Alberto Cortijo

We study thermodynamic manifestations of the chiral anomaly in disordered Weyl semimetals. We focus, in particular, on the effect which we call 'adiabatic dechiralization,' the phenomenon in which a change in temperature and/or an…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 S. V. Syzranov , Ya. I. Rodionov , B. Skinner

The acoustogalvanic effect is proposed as a nonlinear mechanism to generate a direct electric current by passing acoustic waves in Dirac and Weyl semimetals. Unlike the standard acoustoelectric effect, which relies on the sound-induced…

Mesoscale and Nanoscale Physics · Physics 2020-04-06 P. O. Sukhachov , H. Rostami

The true nature of gravity is a remarkable open problem in Gravitation. Theoretical and observational motivations open the avenue of alternative theories of gravity. One possibility resorts to nonminimal couplings and non-metricity…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Cláudio Gomes

The effective low energy description of interacting Dirac and Weyl semimetals is that of massless quantum electrodynamics with several Lorentz breaking material parameters. We perform a renormalization group analysis of Coulomb interaction…

Strongly Correlated Electrons · Physics 2018-09-26 Oscar Pozo , Yago Ferreiros , María A. H. Vozmediano

The recent discovery of two-dimensional Dirac materials, such as graphene and transition-metaldichalcogenides, has raised questions about the treatment of hybrid systems, in which electrons moving in a two-dimensional plane interact via…

Recent experiments have proven that the quasiparticles in graphene obey a Dirac equation. Here we show that microwaves are an excellent probe of their unusual dynamics. When the chemical potential is small the intraband response can exhibit…

Strongly Correlated Electrons · Physics 2007-05-23 V. P. Gusynin , S. G. Sharapov , J. P. Carbotte

The continuum Dirac model with an unbounded energy spectrum is widely used to describe low-energy states in various electron systems, such as graphene, topological insulators, and Weyl semimetals. However, if it is applied to analyze the…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 Yositake Takane

Materials harboring exotic quasiparticles, such as Dirac and Weyl fermions\cite{xu2015discovery,borisenko2015time,weng2015weyl,xu2015observation}, have garnered much attention from the physics and material science communities. These…

When magnetic field $B$ is applied to a metal, nearly all observable quantities exhibit oscillations periodic in $1/B$. Such quantum oscillations reflect the fundamental reorganization of electron states into Landau levels as a canonical…

Mesoscale and Nanoscale Physics · Physics 2017-01-18 Tianyu Liu , D. I. Pikulin , M. Franz

Klein tunneling refers to the absence of normal backscattering of electrons even under the case of high potential barriers. At the barrier interface, the perfect matching of electron and hole wavefunctions enables a unit transmission…

Mesoscale and Nanoscale Physics · Physics 2016-12-20 Can Yesilyurt , Seng Ghee Tan , Gengchiau Liang , Mansoor B. A. Jalil

The disjointed Fermi-arcs in Weyl semimetals can intertwine with chiral bulk modes and participate in unusual closed magnetic orbits in the presence of a vertical magnetic field. Here we carry out the quantum oscillation study of such…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Guolin Zheng , Min Wu , Hongwei Zhang , Weiwei Chu , Wenshuai Gao , Jianwen Lu , Yuyan Han , Jiyong Yang , Haifeng Du , Wei Ning , Yuheng Zhang , Mingliang Tian

Electrons in materials containing heavy elements are fundamentally relativistic and should in principle be described using the Dirac equation. However, the current standard for treatment of electrons in such materials involves density…

Materials Science · Physics 2023-12-08 Ann E. Mattsson , Daniel A. Rehn

We show that a reference frame transformation could turn a topologically trivial Dirac fermion into a topologically nontrivial Weyl semimetal. This is elucidated by the transformation of the Dirac equation into the equation for Weyl…

Other Condensed Matter · Physics 2023-11-22 Wen-Bin Pan , Ya-Wen Sun

Recently Weyl fermions have attracted increasing interest in condensed matter physics due to their rich phenomenology originated from their nontrivial monopole charges. Here we present a theory of real Dirac points that can be understood as…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 Y. X. Zhao , Y. Lu

Recently discussed topological materials Weyl-semimetals (WSs) combine both: high electron mobility comparable with graphene and unique topological protection of Dirac points. We present novel results related to electromagnetic field…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Nikolay M. Chtchelkatchev , Oleg L. Berman , Roman Ya. Kezerashvili , Yurii E. Lozovik

Weyl fermions are massless chiral quasiparticles existing in materials known as Weyl semimetals. Topological surface states, associated with the unusual electronic structure in the Weyl semimetals, have been recently demonstrated in linear…

Optics · Physics 2018-04-18 Ce Shang , Yuanlin Zheng , Boris A. Malomed
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