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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

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

We study the Quantum Electrodynamics of 2D and 3D Dirac semimetals by means of a self-consistent resolution of the Schwinger-Dyson equations, aiming to obtain the respective phase diagrams in terms of the relative strength of the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 J. Gonzalez

Nodal-line semimetals (NLSMs) contains Dirac/Weyl type band-crossing nodes extending into shapes of line, loop and chain in the reciprocal space, leading to novel band topology and transport responses. Robust NLSMs against spin-orbit…

Weyl and Dirac (semi)metals in three dimensions have robust gapless electronic band structures. Their massless single-body energy spectra are protected by symmetries such as lattice translation, (screw) rotation and time reversal. In this…

Strongly Correlated Electrons · Physics 2019-03-06 Syed Raza , Alexander Sirota , Jeffrey C. Y. Teo

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

We study the different phases in the Quantum Electrodynamics of 3D Dirac semimetals depending on the number $N$ of Dirac fermions, using renormalization group methods and the self-consistent resolution of the Schwinger-Dyson equation. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 J. Gonzalez

The nodal and effectively relativistic dispersion featuring in a range of novel materials including two- dimensional graphene and three-dimensional Dirac and Weyl semimetals has attracted enormous interest during the past decade. Here, by…

Strongly Correlated Electrons · Physics 2018-04-11 Johan Carlström , Emil J. Bergholtz

In this paper the phase diagram of Dirac semimetals is studied within lattice Monte-Carlo simulation. In particular, we concentrate on the dynamical chiral symmetry breaking which results in semimetal/insulator transition. Using numerical…

Strongly Correlated Electrons · Physics 2016-12-07 V. V. Braguta , M. I. Katsnelson , A. Yu. Kotov , A. A. Nikolaev

We propose a general framework for constructing a large set of nodal-point semimetals by tuning the number of linearly ($d_L$) and (at most) quadratically ($d_Q$) dispersing directions. By virtue of such a unifying scheme, we identify a new…

Strongly Correlated Electrons · Physics 2019-11-15 Shouvik Sur , Bitan Roy

Discovering Dirac fermions with novel properties has become an important front in condensed matter and materials sciences. Here, we report the observation of unusual Dirac fermion states in a strongly-correlated electron setting, which are…

In this paper the observed Dirac semimetals Na$_3$Bi and Cd$_3$As$_2$ are studied within lattice simulation. We formulate lattice field theory with rooted staggered fermions on anisotropic lattice. It is shown that in the limit of zero…

Strongly Correlated Electrons · Physics 2018-04-04 V. V. Braguta , M. I. Katsnelson , A. Yu. Kotov

We employ a general method, known as anomaly-matching, to derive new no-go theorems of fermionic lattice models. For our main result, we show that time-reversal invariant 3+1d lattice systems (such as Dirac and Weyl semimetals) can never…

Strongly Correlated Electrons · Physics 2025-08-28 Lei Gioia , Anton A. Burkov , Taylor L. Hughes

Strong Coulomb repulsion is predicted to open a many-body charge gap at the Dirac point of graphene, transforming the semimetal into a Mott insulator. However, this correlated insulating phase has remained inaccessible in pristine graphene,…

The electron-electron Coulomb interaction in Dirac-Weyl semimetals harbours a novel paradigm of correlation effects that hybridizes diverse realms of solid-state physics with their relativistic counterpart. Driving spontaneous mass…

Strongly Correlated Electrons · Physics 2020-09-30 Daigo Ohki , Michihiro Hirata , Takehiro Tani , Kazushi Kanoda , Akito Kobayashi

Several intriguing electronic phenomena and electric properties were discovered in three-dimensional Dirac nodal line semimetals (3D-DNLSM), which are, however, easy to be perturbed under strong spin-orbit coupling (SOC). While…

Mesoscale and Nanoscale Physics · Physics 2022-10-18 Deping Guo , Pengjie Guo , Shiliang Tan , Min Feng , Limin Cao , Zhengxin Liu , Kai Liu , Zhong-Yi Lu , Wei Ji

The effective low energy description of interacting Dirac and Weyl semimetals is that of massless quantum electrodynamics with several Lorentz breaking material parameters. We perform a renormalization group analysis of Coulomb interaction…

Strongly Correlated Electrons · Physics 2018-09-26 Oscar Pozo , Yago Ferreiros , María A. H. Vozmediano

The topological nodal-line semimetal state, serving as a fertile ground for various topological quantum phases, where a topological insulator, Dirac semimetal, or Weyl semimetal can be realized when the certain protecting symmetry is…

Three-dimensional Dirac and Weyl semimetals have attracted widespread interest in condensed matter physics and material science. Here, based on first-principles calculations and symmetry analysis, we report that Ag$_2$S with…

Materials Science · Physics 2019-11-20 Zhenwei Wang , Kaifa Luo , Jianzhou Zhao , Rui Yu

Tight binding electrons on a honeycomb lattice are described by an effective Dirac theory at low energies. Lowering symmetry by an alternate ionic potential ($\Delta$) generates a single-particle gap in the spectrum. We employ the dynamical…

Strongly Correlated Electrons · Physics 2012-05-30 M. Ebrahimkhas , S. A. Jafari
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