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We investigate the possibility that the observed behavior of test particles outside galaxies, which is usually explained by assuming the existence of dark matter, is the result of the dynamical evolution of particles in a Weyl type…

General Relativity and Quantum Cosmology · Physics 2024-11-18 Piyabut Burikham , Tiberiu Harko , Kulapant Pimsamarn , Shahab Shahidi

Chiral magnetic effect is a quantum phenomenon that is breaking of chiral symmetry of relativistic Weyl fermions by quantum fluctuation under paralleled electric field E and magnetic field B. Intuitively, Weyl fermions with different…

Materials Science · Physics 2018-05-28 Yang-Yang Lv , Xiao Li , Bin Pang , Y. B. Chen , Shu-Hua Yao , Jian Zhou , Yan-Feng Chen

Electrons in materials with linear dispersion behave as massless Weyl- or Dirac-quasiparticles, and continue to intrigue physicists due to their close resemblance to elusive ultra-relativistic particles as well as their potential for future…

We show that if the masses of timelike fields are point-dependent quantities transforming under conformal transformations as $m\rightarrow\Omega^{-1}m$, so the energy density of perfect fluids transforms as $\rho\rightarrow\Omega^{-4}\rho$,…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Israel Quiros

Weyl consistency conditions have been used in unitary relativistic quantum field theory to impose constraints on the renormalization group flow of certain quantities. We classify the Weyl anomalies and their renormalization scheme…

High Energy Physics - Theory · Physics 2016-12-20 Sridip Pal , Benjamín Grinstein

We present a field theoretical model of anomalous transport in Weyl semi-metals. We calculate the Chiral Magnetic and Chiral Vortical Effect in the electric, axial (valley) and energy current. Our findings coincide with the results of a…

High Energy Physics - Theory · Physics 2014-02-26 Karl Landsteiner

Weyl semimetals are a new class of Dirac material that posses bulk energy nodes in three dimensions. In this paper, we study a Weyl semimetal subject to an applied magnetic field. We derive expressions for the density of states, electronic…

Strongly Correlated Electrons · Physics 2014-04-30 Phillip E. C. Ashby , J. P. Carbotte

A comparison is given between the Newtonian and Einsteinian frames of gravitation. From this it is shown that there exist a weak connection to gravitation and electromagnetism. This connection is then studied more thoroughly with the Weyl…

General Physics · Physics 2007-05-23 E. F. Halerewicz

The physical intepretation of effective field theories of fundamental interactions incorporating large Lorentz violation is a long-standing challenge, known as the concordance problem. In condensed-matter physics, certain Weyl semimetals…

High Energy Physics - Phenomenology · Physics 2025-12-03 Alan Kostelecky , Ralf Lehnert , Marco Schreck , Babak Seradjeh

By analyzing the structure of the Weyl spinor field in the Clifford bundle formalism we show that in each spinorial frame it is represented by F\insec(\doublebarwedge^0 T^\starM + \doublebarwedge^2 T^\star M + \doublebarwedge^{4} T^\star…

Mathematical Physics · Physics 2011-10-12 E. Capelas de Oliveira , W. A. Rodrigues , J. Vaz

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

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

Weyl semimetals, with their unique electronic band structure, have drawn significant interest for their potential to explore quantum anomalies in condensed matter systems. In this study, we investigate the large positive magneto-thermal…

In this work, corrections for the Weyl law and Weyl conjecture in d dimensions are obtained and effects related to the polarization and area term are analyzed. The derived formalism is applied on the quasithermodynamics of the…

Quantum Physics · Physics 2023-11-02 M. C. Baldiotti , M. A. Jaraba , L. F. Santos , C. Molina

Optical lattices are known for their flexibility to emulate condensed matter physics and beyond. Based on an early theoretical proposal [Science Bulletin 65, 2080 (2020)], a recent experiment published by Wang et al. [Science 372, 271…

Quantum Gases · Physics 2021-07-01 Xiaopeng Li , W. Vincent Liu

A Weyl geometric scale covariant approach to gravity due to Omote, Dirac, and Utiyama (1971ff) is reconsidered. It can be extended to the electroweak sector of elementary particle fields, taking into account their basic scaling freedom.…

High Energy Physics - Theory · Physics 2015-05-27 Erhard Scholz

Weyl semimetals have been intensely studied as a three dimensional realization of a Dirac-like excitation spectrum where the conduction bands and valence bands touch at isolated Weyl points in momentum space. Like in graphene, this property…

Strongly Correlated Electrons · Physics 2017-11-22 Tobias Holder , Chia-Wei Huang , Pavel Ostrovsky

Weyl semimetals (WSM) are a new class of topological materials that exhibit a bulk Hall effect due to time-reversal symmetry breaking, as well as a chiral magnetic effect due to inversion symmetry breaking. These unusual electromagnetic…

High Energy Physics - Theory · Physics 2019-05-01 A. Martín-Ruiz , M. Cambiaso , L. F. Urrutia

Weyl semimetals are three dimensional analogs of graphene where the energy of the excitations are a linear function of their momentum. Pyrochlore Iridates $(A_{2}Ir_{2}O_{7})$ with A =yttrium or lanthanide element) are conjectured to be…

Strongly Correlated Electrons · Physics 2015-05-30 Vivek Aji

The Weyl semimetals are topologically protected from a gap opening against weak disorder in three dimensions. However, a strong disorder drives this relativistic semimetal through a quantum transition towards a diffusive metallic phase…

Disordered Systems and Neural Networks · Physics 2016-12-28 Thibaud Louvet , David Carpentier , Andrei A. Fedorenko