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The continuous quantum phase transition between noninteracting, time-reversal symmetric topological and trivial insulators in three dimensions is described by the massless Dirac fermion. We address the stability of this quantum critical…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Bitan Roy , Pallab Goswami , Jay D. Sau

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

The periodized cluster dynamical mean-field theory (PCDMFT) combined with exact diagonalization as impurity solver has been applied to the half-filled standard Hubbard model on the honeycomb lattice. A correlated Dirac semimetal is found…

Strongly Correlated Electrons · Physics 2015-10-26 Qing-Xiao Li , Rong-Qiang He , Zhong-Yi Lu

Efimov effect refers to quantum states with discrete scaling symmetry and a universal scaling factor, and has attracted considerable interests from nuclear to atomic physics communities. In a Dirac semi-metal, when an electron interacts…

Strongly Correlated Electrons · Physics 2018-06-20 Pengfei Zhang , Hui Zhai

Three-dimensional topological insulators support gapless Dirac fermion surface states whose rich topological properties result from the interplay of symmetries and dimensionality. Their topological properties have been extensively studied…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Lakshmi Pullasseri , Daniel Shaffer , Luiz H. Santos

Two-dimensional Dirac fermions are subjected to two types of interactions, namely the long-range Coulomb interaction and the short-range on-site interaction. The former induces excitonic pairing if its strength $\alpha$ is larger than some…

Strongly Correlated Electrons · Physics 2019-06-26 Hai-Xiao Xiao , Jing-Rong Wang , Zheng-Wei Wu , Guo-Zhu Liu

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

Through resistivity measurements of an organic crystal hosting massless Dirac fermions with a charge-ordering instability, we reveal the effect of interactions among Dirac fermions on the charge transport. A low-temperature resistivity…

Strongly Correlated Electrons · Physics 2016-06-22 Dong Liu , Kyohei Ishikawa , Ryosuke Takehara , Kazuya Miyagawa , Masafumi Tamura , Kazushi Kanoda

We propose and study the properties of a non-linear electrodynamics that emerges inspired on the physics of Dirac materials. This new electrodynamic model is an extension of the one-loop corrected non-linear effective Lagrangian computed in…

Materials Science · Physics 2023-09-29 M. J. Neves , Patricio Gaete , L. P. R. Ospedal , J. A. Helayël-Neto

Interaction driven symmetry breaking in a metallic (doped) Dirac system can manifest in the spontaneous gap generation at the nodal point buried below the Fermi level. Across this transition linear conductivity remains finite making its…

Mesoscale and Nanoscale Physics · Physics 2020-02-25 Habib Rostami , Vladimir Juričić

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

Specific properties, such as surface Fermi arcs, features of quantum oscillations and of various responses to a magnetic field, distinguish Dirac semimetals from ordinary materials. These properties are determined by Dirac points at which a…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Grigorii P. Mikitik

Particle fractionalization is believed to orchestrate the physics of many strongly correlated systems, yet its direct experimental detection remains a challenge. We propose a simple measurement for an ultracold matter system, in which…

Quantum Gases · Physics 2019-02-18 Seth M. Davis , Matthew S. Foster

Topological insulators in the presence of strong Coulomb interaction constitute novel phases of matter. Transitions between these phases can be driven by single-particle or many-body effects. On the basis of {\it ab-initio} calculations, we…

Strongly Correlated Electrons · Physics 2016-01-06 Gang Li , Werner Hanke , Giorgio Sangiovanni , Björn Trauzettel

The three-dimensional Dirac semimetal is distinct from its two-dimensional counterpart due to its dimensionality and symmetry. Here, we observe that molecule-based quasi-two-dimensional Dirac fermion system, $\alpha$-(BEDT-TTF)$_2$I$_3$,…

Strongly Correlated Electrons · Physics 2023-11-23 Naoya Tajima , Yoshitaka Kawasugi , Takao Morinari , Ryuhei Oka , Toshio Naito , Reizo Kato

Effects of Coulomb correlation on LaOFeAs electronic structure have been investigated by LDA+DMFT(QMC) method. The calculation results show that LaOFeAs is in the regime of intermediate correlation strength with significant part of the…

Strongly Correlated Electrons · Physics 2009-11-13 A. O. Shorikov , M. A. Korotin , S. V. Streltsov , S. L. Skornyakov , D. M. Korotin , V. I. Anisimov

Physics of topological materials have attracted much attention from both physicists and mathematicians recently. The index and the fermion number of Dirac fermions play an important role in topological insulators and topological…

High Energy Physics - Theory · Physics 2020-03-17 Takashi Yanagisawa

We propose a framework for applying on-shell scattering amplitude methods to emergent relativistic phases of quantum matter. Many strongly correlated systems, from Dirac and Weyl semimetals to topological-insulator surfaces, exhibit…

Strongly Correlated Electrons · Physics 2025-11-10 Jeff Murugan

We study theoretically the properties of the interacting Dirac liquid, a novel three-dimensional many-body system which was recently experimentally realized and in which the electrons have a chiral linear relativistic dispersion and a…

Mesoscale and Nanoscale Physics · Physics 2015-07-07 Johannes Hofmann , Edwin Barnes , S. Das Sarma

Dirac materials are characterized by energy-momentum relations that resemble those of relativistic massless particles. Commonly denominated Dirac cones, these dispersion relations are considered to be their essential feature. These…

Mesoscale and Nanoscale Physics · Physics 2017-09-05 A. Diaz-Fernandez , L. Chico , J. W. Gonzalez , F. Dominguez-Adame