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Causal structure, inertial path structure and compatibility with quantum mechanics demand no full Lorentz metric, but only an integrable Weyl geometry for space time (Ehlers/Pirani/Schild 1972, Audretsch e.a. 1984). A proposal of (Tann…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Erhard Scholz

Unconventional Weyl semimetals have attracted intensive research interest in condensed matter physics and materials science, but they are very rare in two dimensions. In this work, based on symmetry analysis and the first-principles…

Materials Science · Physics 2022-07-08 Xinlei Zhao , Fengjie Ma , Peng-Jie Guo , Zhong-Yi Lu

We present in the article the formulation of a version of Lorentz covariant quantum mechanics based on a group theoretical construction from a Heisenberg-Weyl symmetry with position and momentum operators transforming as Minkowski…

General Physics · Physics 2020-02-18 Suzana Bedić , Otto C. W. Kong , Hock King Ting

The spectrum of collective excitations in Weyl materials is studied by using consistent hydrodynamics. The corresponding framework includes the vortical and chiral anomaly effects, as well as the dependence on the separations between the…

Strongly Correlated Electrons · Physics 2018-06-13 P. O. Sukhachov , E. V. Gorbar , I. A. Shovkovy , V. A. Miransky

Weyl semimetals (WSMs) are characterized by topologically stable pairs of nodal points in the band structure, that typically originate from splitting a degenerate Dirac point by breaking symmetries such as time reversal or inversion…

Strongly Correlated Electrons · Physics 2020-01-29 L. Crippa , A. Amaricci , N. Wagner , G. Sangiovanni , J. C. Budich , M. Capone

We study interaction effects, including both long-ranged Coulomb and short-range interactions, in three-dimensional topological triple-Weyl semimetals whose triple-Weyl points are protected by crystal symmetries. By performing Wilsonian…

Strongly Correlated Electrons · Physics 2017-12-27 Shi-Xin Zhang , Shao-Kai Jian , Hong Yao

Internodal dynamics of quasiparticles in Weyl semimetals manifest themselves in hydrodynamic, transport and thermodynamic phenomena and are essential for potential valleytronic applications of these systems. In an external magnetic field,…

Mesoscale and Nanoscale Physics · Physics 2020-05-19 G. Bednik , K. S. Tikhonov , S. V. Syzranov

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

Transport measurements are a powerful way to probe the electronic structure of quantum materials, but the information they contain is often convoluted. Yet, in particular for simple low-energy fermiologies, and by combining linear and…

Mesoscale and Nanoscale Physics · Physics 2025-12-10 Andrea Kouta Dagnino , Xiaoxiong Liu , Titus Neupert

At its core, hydrodynamics is a many-body low-energy effective theory for the long-wavelength, long-timescale dynamics of conserved charges in systems close to thermodynamic equilibrium. It has a wide range of applications spanning from…

High Energy Physics - Theory · Physics 2024-08-22 Luca Martinoia

We introduce (3+1) dimensional models of short-range-interacting electrons that form a strongly correlated many-body state whose low-energy excitations are relativistic neutral fermions coupled to an emergent gauge field, $\text{QED}_{4}$.…

Strongly Correlated Electrons · Physics 2018-11-21 Eran Sagi , Ady Stern , David F. Mross

Systems with the power-law quasiparticle dispersion $\epsilon_{\bf k}\propto k^\alpha$ exhibit non-Anderson disorder-driven transitions in dimensions $d>2\alpha$, as exemplified by Weyl semimetals, 1D and 2D arrays of ultracold ions with…

Mesoscale and Nanoscale Physics · Physics 2016-11-28 S. V. Syzranov , V. Gurarie , L. Radzihovsky

We study viscoelastic response in Weyl semimetals with broken time-reversal symmetry. The principal finding is that topology and anisotropy of the Fermi surface are manifested in the viscoelasticity tensor of the electron fluid. In the…

Mesoscale and Nanoscale Physics · Physics 2024-07-24 A. A. Herasymchuk , E. V. Gorbar , P. O. Sukhachov

We characterize a system of hard spheres with a simple collision rule that breaks time reversal symmetry, but conserves energy. The collisions lead to an a-chiral, isotropic, and homogeneous stationary state, whose properties are determined…

Statistical Mechanics · Physics 2022-09-21 Niklas Grimm , Annette Zippelius , Matthias Fuchs

In the time-reversal-breaking centrosymmetric systems, the appearance of Weyl points can be guaranteed by an odd number of all the even/odd parity occupied bands at eight inversion-symmetry-invariant momenta. Here, based on symmetry…

Materials Science · Physics 2020-05-06 Yuting Qian , Jiacheng Gao , Zhida Song , Simin Nie , Zhijun Wang , Hongming Weng , Zhong Fang

We investigate the spontaneous breaking of subsystem symmetry in a stack of two-dimensional Fermi liquid metals, each maintaining a subsystem number conservation symmetry, driven by interlayer exciton condensation. The resulting Goldstone…

Strongly Correlated Electrons · Physics 2025-06-16 Archisman Panigrahi , Ajesh Kumar

A standard model is formulated in a Weyl space, $W_4$, yielding a Weyl covariant dynamics of massless chiral Dirac fermion fields for leptons and quarks as well as the gauge fields involved for the groups D(1)\,(Weyl), $U(1)_Y{\times}…

High Energy Physics - Theory · Physics 2011-07-11 Wolfgang Drechsler

The Weyl semimetal surface is modeled by applying the Bogolyubov boundary conditions, in which the quasiparticles have an infinite Dirac mass outside the semimetal. For a Weyl semimetal shaped as a slab of finite thickness, we derive an…

Strongly Correlated Electrons · Physics 2014-09-19 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

Helicons are transverse electromagnetic modes in three dimension(3D) electron systems in the presence of a static magnetic field. This modes have been proposed in isotropic or single Weyl semimetals(sWSMs) (Francesco M.D. Pellegrino et al,…

Strongly Correlated Electrons · Physics 2025-04-23 Shiv Kumar Ram , Amit Gupta

We carry out an extended symmetry analysis of the multi-layer quasi-geostrophic problem. This model is given by a system of an arbitrary number of coupled barotropic vorticity equations. Conservation laws and a Hamiltonian structure for the…

Mathematical Physics · Physics 2026-03-31 Serhii D. Koval , Alex Bihlo , Roman O. Popovych