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Classical electromagnetism is linear. However, fields can polarize the vacuum Dirac sea, causing quantum nonlinear electromagnetic phenomena, e.g., scattering and splitting of photons, that occur only in very strong fields found in neutron…

Other Condensed Matter · Physics 2022-02-15 Aydin C. Keser , Yuli Lyanda-Geller , Oleg P. Sushkov

There were many attempts to geometrize electromagnetic field and find out new interpretation for quantum mechanics formalism. The distinctive feature of this work is that it combines geometrization of electromagnetic field and…

High Energy Physics - Theory · Physics 2009-11-11 O. A. Ol'khov

The quantum Hall effect in graphene is regarded to be involving half-integer topological numbers associated with the massless Dirac particle, this is usually not apparent due to the doubling of the Dirac cones. Here we theoretically…

Mesoscale and Nanoscale Physics · Physics 2012-04-30 H Watanabe , Y Hatsugai , H Aoki

Two conducting quantum systems coupled only via interactions can exhibit the phenomenon of Coulomb drag, in which a current passed through one layer can pull a current along in the other. However, in systems with particle-hole symmetry --…

Strongly Correlated Electrons · Physics 2019-12-16 William Berdanier , Thomas Scaffidi , Joel E. Moore

We study the electrodynamics of Dirac electrons in solids (e.g., bismuth) by comparing it with quantum electrodynamics (QED). It is shown that Lorentz covariance associated with the Dirac electrons in solids results in a remarkable…

Mesoscale and Nanoscale Physics · Physics 2017-09-11 Hideaki Maebashi , Masao Ogata , Hidetoshi Fukuyama

Hall effects are investigated for three-dimensional Dirac electrons as a model of bismuth alloys. It is found that there is unconventional contributions to the Hall conductivity $\sigma_{xy}$ generated by the interband effects of a magnetic…

Materials Science · Physics 2009-02-12 Yuki Fuseya , Masao Ogata , Hidetoshi Fukuyama

Graphene with honeycomb structure, being critically important in understanding physics of matter, exhibits exceptionally unusual half-integer quantum Hall effect and unconventional electronic spectrum with quantum relativistic phenomena.…

Mesoscale and Nanoscale Physics · Physics 2021-02-10 Yong-Heng Lu , Yao Wang , Yi-Jun Chang , Zhan-Ming Li , Wen-Hao Cui , Jun Gao , Wen-Hao Zhou , Hang Zheng , Xian-Min Jin

Quantum transport close to a critical point is a fundamental, but enigmatic problem due to fluctuations, persisting at all length scales. We report the scaling of optical conductivity (OC) in the \emph{collisionless} regime ($\hbar \omega…

Mesoscale and Nanoscale Physics · Physics 2018-10-01 Bitan Roy , Vladimir Juricic

We study the quasiparticle properties of two-dimensional massless Dirac Fermions when the many-body states possess a finite momentum density in the clean limit. The lack of Galilean invariance endows the many-body states at finite momentum…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Inti Sodemann

We study Coulomb drag in double-layer graphene near the Dirac point. A particular emphasis is put on the case of clean graphene, with transport properties dominated by the electron-electron interaction. Using the quantum kinetic equation…

Mesoscale and Nanoscale Physics · Physics 2013-06-26 M. Schütt , P. M. Ostrovsky , M. Titov , I. V. Gornyi , B. N. Narozhny , A. D. Mirlin

We investigate the optical and quantum mechanical properties of a charged spinless particle confined in a two-dimensional quantum ring under the simultaneous influence of a spiral dislocation and an external magnetic field. The dislocation…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Hassan Hassanabadi , Kangxian Guo , Liangliang Lu , Edilberto O. Silva

Dirac metals are characterized by the linear dispersion of fermionic quasi-particles, with the Dirac point hidden inside a Fermi surface. We study the magnetotransport in these materials using chiral kinetic theory to describe within the…

Mesoscale and Nanoscale Physics · Physics 2015-10-14 Gustavo M. Monteiro , Alexander G. Abanov , Dmitri E. Kharzeev

We propose a scenario where the effects of dislocations, in bidimensional Dirac materials at low energies, can be described within a Dirac field theory by a vertex proportional to the totally antisymmetric component of the torsion generated…

High Energy Physics - Theory · Physics 2022-09-21 Alfredo Iorio , Pablo Pais

Coulomb drag between two unhybridized graphene sheets separated by a dielectric spacer has recently attracted considerable theoretical interest. We first review, for the sake of completeness, the main analytical results which have been…

Strongly Correlated Electrons · Physics 2012-06-27 M. Carrega , T. Tudorovskiy , A. Principi , M. I. Katsnelson , Marco Polini

Effect of spin-orbit scattering on quantum diffusive transport of two-dimensional massive Dirac fermions is studied by the diagrammatic technique. The quantum diffusion of massive Dirac fermions can be viewed as a singlet Cooperon in the…

Mesoscale and Nanoscale Physics · Physics 2012-09-07 Wen-Yu Shan , Hai-Zhou Lu , Shun-Qing Shen

Dirac energy-dispersions are responsible of the extraordinary transport properties of graphene. This motivated the quest for engineering such energy dispersions also in photonics, where they have been predicted to lead to many exciting…

Mesoscale and Nanoscale Physics · Physics 2023-12-05 Erik P. Navarro-Barón , Herbert Vinck-Posada , Alejandro González-Tudela

Originating from relativistic quantum field theory, Dirac fermions have been recently applied to study various peculiar phenomena in condensed matter physics, including the novel quantum Hall effect in graphene, magnetic field driven…

Strongly Correlated Electrons · Physics 2008-04-10 S. Y. Zhou , G. -H. Gweon , J. Graf , A. V. Fedorov , C. D. Spataru , R. D. Diehl , Y. Kopelevich , D. -H. Lee , Steven G. Louie , A. Lanzara

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

Coulomb drag between adjacent electron and hole gases has attracted considerable attention, being studied in various two-dimensional systems, including semiconductor and graphene heterostructures. Here we report measurements of…

Dirac electrons in a single-component molecular conductor [Pd(dddt)$_2$] under pressure have been examined using a tight-binding model which consists of HOMO (Highest Occupied Molecular Orbital) and LUMO (Lowest Unoccupied Molecular…

Materials Science · Physics 2017-04-25 Reizo Kato , Yoshikazu Suzumura