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The electronic behavior in graphene under arbitrary uniaxial deformations, such as foldings or flexural fields is studied by including in the Dirac equation pseudoelectromagnetic fields. General foldings are thus studied by showing that…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 Abdiel E. Champo , Gerardo G. Naumis

We report systematic theoretical studies of the inverse Faraday effect in materials with massless Dirac fermions, both in two dimensions such as graphene and surface states in topological insulators, and in three dimensions such as Dirac…

Mesoscale and Nanoscale Physics · Physics 2020-05-27 I. D. Tokman , Qianfan Chen , I. A. Shereshevsky , V. I. Pozdnyakova , Ivan Oladyshkin , Mikhail Tokman , Alexey Belyanin

We study the collective charge-density modes (plasmons) of two-dimensional nonsymmorphic Dirac semimetals, within the random-phase approximation (RPA) in presence of Coulomb interaction. Without loss of generality, we consider a system in a…

Mesoscale and Nanoscale Physics · Physics 2023-02-23 Debasmita Giri , Arijit Kundu

We present an experimental investigation of collective oscillations in harmonically trapped Fermi gases through the crossover from two to three dimensions. Specifically, we measure the frequency of the radial monopole or breathing mode as a…

Quantum Gases · Physics 2018-09-26 T. Peppler , P. Dyke , M. Zamorano , S. Hoinka , C. J. Vale

Dirac semimetals are three dimensional analog of graphene with massless Dirac fermions as low energy electronic excitations. In contrast to Weyl semimetals, the point nodes in the bulk spectrum of topological Dirac semimetals have a…

Strongly Correlated Electrons · Physics 2024-02-20 Gargee Sharma , Christopher Moore , Subhodip Saha , Sumanta Tewari

Having previously been the subject of decades of semiconductor research, cadmium arsenide has now reemerged as a topological material, realizing ideal three-dimensional Dirac points at the Fermi level. These topological Dirac points lead to…

Strongly Correlated Electrons · Physics 2024-06-03 Vsevolod Ivanov , Lotte Borkowski , Xiangang Wan , Sergey Y. Savrasov

Recent experimental and numerical evidence suggest an intriguing universal relationship between the Fermi surface anisotropy of the non-interacting parent two-dimensional electron gas and the strongly correlated composite Fermi liquid…

Strongly Correlated Electrons · Physics 2020-05-18 Jia Ning Leaw , Ho-Kin Tang , Maxim Trushin , Fakher F. Assaad , Shaffique Adam

Dirac semimetals (DSM) and Weyl semimetal (WSM) fall under the generic class of three-dimensional solids, which follow relativistic energy-momentum relation $\epsilon_\mathbf{k}= \hbar v_F |\mathbf{k}|$ at low energies. Such a linear…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Gargee Sharma , Sumanta Tewari

The collective excitation of surface plasmons in a massless Dirac plasma (e.g., graphene) half-space (bounded by air) is investigated using a relativistic quantum fluid model. The unique features of such surface waves are discussed and…

Plasma Physics · Physics 2018-07-04 M. Shahmansouri , R. Aboltaman , A. P. Misra

The interplay among Coulomb interaction, electron-phonon coupling, and phonon-phonon coupling has a significant impact on the low-energy behavior of three-dimensional type-I tilted Dirac semimetals. To investigate this phenomenon, we…

Strongly Correlated Electrons · Physics 2025-10-07 Jing Wang , Jie-Qiong Li , Wen-Hao Bian , Qiao-Chu Zhang , Xiao-Yue Ren

The interaction between two different materials can present novel phenomena that are quite different from the physical properties observed when each material stands alone. Strong electronic correlations, such as magnetism and…

The study of vacancies in graphene is a topic of growing interest. A single vacancy induces a localized stable charge of order unity interacting with other charges of the conductor through an unscreened Coulomb potential. It also breaks the…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 Omrie Ovdat , Yaroslav Don , Eric Akkermans

We numerically investigate critically delocalized wavefunctions in models of 2D Dirac fermions, subject to vector potential disorder. These describe the surface states of 3D topological superconductors, and can also be realized through…

Disordered Systems and Neural Networks · Physics 2014-05-02 Yang-Zhi Chou , Matthew S. Foster

The Dirac Hamiltonian formalism is applied to a system in $(2+1)$-dimensions consisting of a Dirac field $\psi$ minimally coupled to Chern-Simons $U(1)$ and $SO(2,1)$ connections, $A$ and $\omega$, respectively. This theory is connected to…

High Energy Physics - Theory · Physics 2016-08-22 Alfredo Guevara , Pablo Pais , Jorge Zanelli

We calculate the chemical potential dependence of the renormalized Fermi velocity and static dielectric function for Dirac quasiparticles in graphene nonperturbatively at finite temperature. By reinterpreting the chemical potential as a…

Mesoscale and Nanoscale Physics · Physics 2018-07-04 Christian Fräßdorf , Johannes E. M. Mosig

Fermi condensation is usually a phenomena of strongly correlated system. In this letter, we point out a novel mechanism for condensation of Dirac fermions due to Weyl anomaly. The condensation has its physical origin in the nontrivial…

High Energy Physics - Theory · Physics 2020-08-28 Chong-Sun Chu , Rong-Xin Miao

Low-energy fermionic excitations in two-dimensional materials deviate from the conventional Schr\"odinger description and are instead governed by Dirac equations. Such Dirac fermions give rise to a variety of unconventional quantum…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Xiang Liua , Zheng Taoa , Wenchen Luoa , Tapash Chakraborty

At low energy, electrons in doped graphene sheets behave like massless Dirac fermions with a Fermi velocity which does not depend on carrier density. Here we show that modulating a two-dimensional electron gas with a long-wavelength…

Mesoscale and Nanoscale Physics · Physics 2009-06-29 M. Gibertini , A. Singha , V. Pellegrini , M. Polini , G. Vignale , A. Pinczuk , L. N. Pfeiffer , K. W. West

We investigate the development of a gapped phase in the field theory of Dirac fermions in graphene with long-range Coulomb interaction. In the large-N approximation, we show that the chiral symmetry is only broken below a critical number of…

Mesoscale and Nanoscale Physics · Physics 2011-03-21 J. Gonzalez

We investigate the topological properties of modified Dirac Hamiltonians with an altermagnetic mass term and reveal a novel mechanism for realizing altermagnetic Weyl semimetals. Unlike the conventional Wilson mass, the altermagnetic mass…

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