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The dynamics of Dirac semimetals is modeled at low energies by the massless Dirac Hamiltonian with the Fermi velocity replacing the velocity of light. The classical action is scale invariant. In 3D materials, Coulomb interactions induce a…

High Energy Physics - Theory · Physics 2026-01-26 Matteo Baggioli , Maxim N. Chernodub , Karl Landsteiner , Alessandro Principi , María A. H. Vozmediano

Analysis of the electronic structure of an ordinary two-dimensional electron gas (2DEG) under an appropriate external periodic potential of hexagonal symmetry reveals that massless Dirac fermions are generated near the corners of the…

Mesoscale and Nanoscale Physics · Physics 2009-05-13 Cheol-Hwan Park , Steven G. Louie

In a Dirac semimetal, the conduction and valence bands contact only at discrete (Dirac) points in the Brillouin zone (BZ) and disperse linearly in all directions around these critical points. Including spin, the low energy effective theory…

Mesoscale and Nanoscale Physics · Physics 2012-04-17 S. M. Young , S. Zaheer , J. C. Y. Teo , C. L. Kane , E. J. Mele , A. M. Rappe

A Dirac fermion emerges as a result of interplay between symmetry and topology in condensed matter. Current research moves towards investigating the Dirac fermions in the presence of manybody effects in correlated system. Here, we…

Strongly Correlated Electrons · Physics 2020-07-15 J. W. Han , Sun-Woo Kim , W. S. Kyung , C. Kim , G. Cao , X. Chen , S. D. Wilson , Sangmo Cheon , J. S. Lee

Semiconductor superlattices may display dispersions that are degenerate either at the zone center or zone boundary. We show that they are linear upon the wave-vector in the vicinity of the crossing point. This establishes a realisation of…

Mesoscale and Nanoscale Physics · Physics 2015-01-15 Francesca Carosella , Andreas Wacker , Robson Ferreira , Gérald Bastard

Harmonic generation is a general characteristic of driven nonlinear systems, and serves as an efficient tool for investigating the fundamental principles that govern the ultrafast nonlinear dynamics. In atomic gases, high-harmonic radiation…

Topological superconductors should be able to provide essential ingredients for quantum computing, but are very challenging to realize. Spin-orbit interaction in iron-based superconductors opens the energy gap between the $p$-states of…

It was experimentally demonstrated that short-period metamorphic InAs1-xSbx/InAs1-ySby superlattices with ultra low bandgap have properties of a Dirac material. Cyclotron resonance and interband magneto-absorption peaks in superlattices…

Two-dimensional (2D) Dirac-like electron gases have attracted tremendous research interest ever since the discovery of free-standing graphene. The linear energy dispersion and non-trivial Berry phase play the pivotal role in the remarkable…

Collisionless, turbulent plasmas surround the Earth, from the magnetosphere to the intergalactic medium, and the fluctuations within them affect nearly every field in the space sciences, from space weather forecasts to theories of galaxy…

High Energy Astrophysical Phenomena · Physics 2026-05-28 Keyan Gootkin , Colby Haggerty , Damiano Caprioli , Zachary Davis

The description of the electromagnetic interaction in two-dimensional Dirac materials, such as graphene and transition-metal dichalcogenides, in which electrons move in the plane and interact via virtual photons in 3d, leads naturally to…

High Energy Physics - Theory · Physics 2021-05-26 Luis Fernández , Van Sérgio Alves , M. Gomes , Leandro O. Nascimento , Francisco Peña

Collective modes in two-dimensional electron fluids show an interesting response to a background carrier flow. Surface plasmons propagating on top of a flowing Fermi liquid acquire a non-reciprocal character manifest in a $\pm k$ asymmetry…

Mesoscale and Nanoscale Physics · Physics 2020-01-01 Haoyang Gao , Zhiyu Dong , Leonid Levitov

Two-dimensional and three-dimensional massless Dirac fermions can form a sequence of quasibound states with an attractive charged impurity. These quasibound states exhibit a discrete scaling symmetry, i.e., the energy ratio between two…

Mesoscale and Nanoscale Physics · Physics 2018-11-28 Mingyuan Sun

Topological Dirac semimetals (TDSs) represent a new state of quantum matter recently discovered that offers a platform for realizing many exotic physical phenomena. A TDS is characterized by the linear touching of bulk (conduction and…

The type-II Weyl/Dirac fermions are a generalization of conventional or type-I Weyl/Dirac fermions, whose conic spectrum is tilted such that the Fermi surface becomes lines in two dimensions, and surface in three dimensions rather than…

Mesoscale and Nanoscale Physics · Physics 2017-05-15 Ze-Min Huang , Jianhui Zhou , Shun-Qing Shen

We study the topological properties of magnon excitations in three-dimensional antiferromagnets, where the ground state configuration is invariant under time-reversal followed by space-inversion ($PT$-symmetry). We prove that Dirac points…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Kangkang Li , Chenyuan Li , Jiangping Hu , Yuan Li , Chen Fang

We study the transfer of electromagnetic energy across a subwavelength gap separating two co-axial metal nanorodes. The absence of spacer in the gap separating the rods the system exhibits the strong coupling between longitudinal plasmons…

Optics · Physics 2016-05-04 Maxim Sukharev , Abraham Nitzan

It is well-known that the tight-binding Hamiltonian of graphene describes the low-energy excitations that appear to be massless chiral Dirac fermions. Thus, in the continuum limit one can analyze the crystal properties using the formalism…

Materials Science · Physics 2012-11-03 P. Kosinski , P. Maslanka , J. Slawinska , I. Zasada

Layered heavy-metal square-lattice compounds have recently emerged as potential Dirac fermion materials due to bonding within those sublattices. We report quantum transport and spectroscopic data on the layered Sb square-lattice material…

In this paper we use the conventional quantum hydrodynamics (QHD) model in combination with the Sagdeev pseudopotential method to explore the effects of Thomas-Fermi nonuniform electron distribution, Coulomb interactions, electron exchange…

Solar and Stellar Astrophysics · Physics 2015-06-04 M. Akbari-Moghanjoughi