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We investigate the strong-coupling phases that may arise in 3D Dirac and Weyl semimetals under the effect of the long-range Coulomb interaction, considering the many-body theory of these electron systems as a variant of the conventional…

Mesoscale and Nanoscale Physics · Physics 2015-12-17 J. Gonzalez

Tang et al. [Science 361, 570 (2018)] report on the properties of Dirac fermions with both on-site and Coulomb interactions. The substantial decrease up to ~40% of the Fermi velocity of Dirac fermions with on-site interaction is…

Strongly Correlated Electrons · Physics 2019-12-23 Stephan Hesselmann , Thomas C. Lang , Michael Schuler , Stefan Wessel , Andreas M. Läuchli

We study the effects of Coulomb interaction between 2D Weyl fermions with anisotropic dispersion which displays relativistic dynamics along one direction and Newtonian dynamics along the other. Such a dispersion can be realized in…

Strongly Correlated Electrons · Physics 2016-02-23 Hiroki Isobe , Bohm-Jung Yang , Andrey Chubukov , Jörg Schmalian , Naoto Nagaosa

We report the direct evidence of impacts of the Coulomb interaction in a prototypical Weyl semimetal, MoTe2, that alter its bare bands in a wide range of energy and momentum. Our quasiparticle interference patterns measured using scanning…

Mesoscale and Nanoscale Physics · Physics 2022-02-10 Seoung-Hun Kang , Sangjun Jeon , Hyun-Jung Kim , Wonhee Ko , Suyeon Cho , Se Hwang Kang , Sung Wng Kim , Heejun Yang , Hyo Won Kim , Young-Woo Son

We study the effects of strong $1/r$ long-range Coulomb interactions in a Weyl semimetal. We consider a three-dimensional (3D) Dirac fermion system on a lattice with a time-reversal symmetry breaking term, and take into account $1/r$…

Strongly Correlated Electrons · Physics 2014-08-14 Akihiko Sekine , Kentaro Nomura

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

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 attentively investigate the effects of short-range fermion-fermion interactions on the low-energy properties of both two-dimensional type-I and type-II tilted Dirac semimetals by means of the renormalization group framework. Practicing…

Strongly Correlated Electrons · Physics 2020-01-29 Jie-Qiong Li , Dong-Xing Zheng , Jing Wang

The analogues of elementary particles have been extensively searched for in condensed matter systems because of both scientific interests and technological applications. Recently massless Dirac fermions were found to emerge as low energy…

Materials Science · Physics 2017-05-08 Peizhe Tang , Quan Zhou , Gang Xu , Shou-Cheng Zhang

At the low energy regime, the decay rate of two-dimensional massless Dirac fermions due to interactions can be written as $\mathrm{Im}\Sigma(\omega) \propto |\omega|^{x}$ at zero temperature. We find that the fermion system has: I) no sharp…

Strongly Correlated Electrons · Physics 2010-04-13 Jing-Rong Wang , Guo-Zhu Liu

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

The quasi-two-dimensional organic semiconductor \alpha-(BEDT-TTF)2I3 [BEDT-TTF=bis(ethylenedithio)tetrathiafulvalene] has an anisotropic linear dispersion with a zero energy gap near the Fermi level. Owing to the vanishing density of states…

Strongly Correlated Electrons · Physics 2012-10-17 Hiroki Isobe , Naoto Nagaosa

Employing the renormalization group approach, we carefully investigate the critical behavior of two-dimensional tilted semi-Dirac semimetals induced by the fermion-fermion interactions in the low-energy regime. After incorporating all…

Strongly Correlated Electrons · Physics 2025-04-15 Wen Liu , Wen-Hao Bian , Xiao-Zhuo Chu , Jing Wang

We develop a bosonization formalism that captures non-perturbatively the interaction effects on the $\mathbf{Q}=0$ continuum of excitations of nodal fermions above one dimension. Our approach is a natural extension of the classic…

Strongly Correlated Electrons · Physics 2020-09-16 Sebastian Mantilla , Inti Sodemann

A wide range of materials like graphene, topological insulators and transition metal dichalcogenides (TMDs) share an interesting property: the low energy excitations behave as Dirac particles. This emergent behavior of Dirac quasiparticles…

Strongly Correlated Electrons · Physics 2018-11-07 Leone Di Mauro Villari , Ian Galbraith , Fabio Biancalana

We study the fate of double-Weyl fermions in three-dimensional systems in the presence of long-range Coulomb interactions. By employing the momentum-shell renormalization group approach, we find that the fixed point of noninteracting…

Strongly Correlated Electrons · Physics 2015-07-29 Shao-Kai Jian , Hong Yao

We study the inelastic scattering rate due to the Coulomb interaction in three-dimensional Dirac/Weyl semimetals at finite temperature. We show that the perturbation theory diverges because of the long-range nature of the interaction,…

Strongly Correlated Electrons · Physics 2018-08-01 Vladyslav Kozii , Liang Fu

The mechanism of delocalization of two-dimensional Dirac fermions with random mass is investigated, using a superfield representation. Although localization effects are very strong, one fermion component can delocalize due to the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 K. Ziegler

We study the dispersion properties of surface plasmon oscillations in a semi-bounded semiconductor plasma with the effects of the Coulomb exchange force associated with the spin polarization of electrons and holes as well as the effects of…

Plasma Physics · Physics 2018-03-02 M. Shamansouri , A. P. Misra

We study the photoresponse of two-dimensional semi-Dirac semimetals and three-dimensional Dirac semimetals to off-resonant circularly polarized light. For two-dimensional semi-Dirac semimetals we find that incident light does not open a gap…

Mesoscale and Nanoscale Physics · Physics 2015-06-02 Awadhesh Narayan