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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

Quasicrystals are long-range ordered and yet non-periodic. This interplay results in a wealth of intriguing physical phenomena, such as the inheritance of topological properties from higher dimensions, and the presence of non-trivial…

Quantum Gases · Physics 2019-07-04 Konrad Viebahn , Matteo Sbroscia , Edward Carter , Jr-Chiun Yu , Ulrich Schneider

Helicity of free massless Dirac fermions is a conserved, Lorentz-invariant quantity at the level of the classical equations of motion. For a generic ensemble consisting of particles and antiparticles, the helical and chiral charges are…

High Energy Physics - Theory · Physics 2023-03-23 Victor E. Ambrus , M. N. Chernodub

The semiclassical regime of 2D static Dirac matter is obtained from the Dirac equation in curved space-time. To simplify the formulation, the Cartesian space-time geometry parametrization is transformed to isothermal coordinates using…

Mesoscale and Nanoscale Physics · Physics 2021-11-24 F. Fillion-Gourdeau , E. Lorin , S. Maclean

We propose that Kibble-Zurek scaling can be studied in optical lattices by creating geometries that support, Dirac, Semi-Dirac and Quadratic Band Crossings. On a Honeycomb lattice with fermions, as a staggered on-site potential is varied…

Quantum Gases · Physics 2015-05-14 Amit Dutta , R. R. P. Singh , Uma Divakaran

Non-Hermiticity in Weyl Hamiltonian leads to the realization of Weyl exceptional rings and flat bands inside the Weyl exceptional rings. Recently, the platform of non-Hermitian physics is extended to many-body or disordered systems where…

Mesoscale and Nanoscale Physics · Physics 2019-12-18 Taiki Matsushita , Yuki Nagai , Satoshi Fujimoto

At photonic Dirac points, electromagnetic waves are governed by the same equations as two-component massless relativistic fermions. However, photonic Dirac points are known to occur in pairs in "photonic graphene" and other similar photonic…

The dislocation in Dirac semimetal carries an emergent magnetic flux parallel to the dislocation axis. We show that due to the emergent magnetic field the dislocation accommodates a single fermion massless mode of the corresponding…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 M. N. Chernodub , Mikhail Zubkov

After the discovery of graphene and its many fascinating properties, there has been a growing interest for the study of "artificial graphenes". These are totally different and novel systems which bear exciting similarities with graphene.…

Mesoscale and Nanoscale Physics · Physics 2019-06-20 Gilles Montambaux

We show that new massless Dirac fermions are generated when a slowly varying periodic potential is applied to graphene. These quasiparticles, generated near the supercell Brillouin zone boundaries with anisotropic group velocity, are…

Mesoscale and Nanoscale Physics · Physics 2008-09-22 Cheol-Hwan Park , Li Yang , Young-Woo Son , Marvin L. Cohen , Steven G. Louie

A stable Dirac fermion with four-fermion interactions to leptons suppressed by a scale Lambda ~ 1 TeV is shown to provide a viable candidate for dark matter. The thermal relic abundance matches cosmology, while nuclear recoil direct…

High Energy Physics - Phenomenology · Physics 2010-04-28 Roni Harnik , Graham D. Kribs

A simple mechanism to generate Dirac masses for the neutrinos in SU(5) supersymmetric grand unified theory is proposed. The tiny Dirac masses are induced by the small mixing between the Higgs fields and another superheavy fields. The mixing…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ryuichiro Kitano

At the interface between two massless Dirac models with opposite helicity a paradoxical situation arises: A transversally impinging electron can seemingly neither be transmitted nor reflected, due to the locking between spin and momentum.…

Mesoscale and Nanoscale Physics · Physics 2022-05-27 Leonid Gogin , Lorenzo Rossi , Fausto Rossi , Fabrizio Dolcini

We study the emergence of Dirac fermionic field in the low energy description of non-relativistic dynamical models on graphs admitting continuum limit. The Dirac fermionic field appears as the effective field describing the excitations…

High Energy Physics - Theory · Physics 2015-06-03 Corneliu Sochichiu

The dynamical Franz-Keldysh effect, indicative of the transient light-matter interaction regime between quantum and classical realms, is widely recognized as an essential signature in wide bandgap condensed matter systems such as…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 Youngjae Kim

Dirac-Weyl fermions are massless relativistic particles with a well-defined helicity which arise in the context of high-energy physics. Here we propose a quantum simulation of these paradigmatic fermions using multicomponent ultracold atoms…

Quantum Gases · Physics 2012-01-04 Z. Lan , N. Goldman , A. Bermudez , W. Lu , P. Ohberg

In particle physics model building, a discrete $\mathcal{Z}_2$ symmetry is often spontaneously broken for phenomenological reasons. When this breaking occurs dynamically in the early Universe, stable domain wall networks are formed, which…

High Energy Physics - Phenomenology · Physics 2026-02-10 Debasish Borah , Partha Kumar Paul , Narendra Sahu

In two-dimensional lattice systems, massless Dirac fermions undergo doubling, leading to the cancellation of net chirality. We demonstrate that the recently discovered altermagnetism can induce a unique mass term, the altermagnetic mass…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Peng-Yi Liu , Yu-Hao Wan , Qing-Feng Sun

We study a formal extension of the Dirac equation in the framework of a non-commutative two-sheeted space-time. It is shown that this approach naturally extends the classical Dirac theory by doubling the number of fermionic states, which…

High Energy Physics - Theory · Physics 2009-11-10 Fabrice Petit , Michael Sarrazin

We investigate the extent to which the class of Dirac materials in two-dimensions provides general statements about the behavior of both fermionic and bosonic Dirac quasiparticles in the interacting regime. For both quasiparticle types, we…

Strongly Correlated Electrons · Physics 2020-10-14 S. Banerjee , D. S. L. Abergel , H. Ågren , G. Aeppli , A. V. Balatsky
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