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Dirac materials are of great interest as condensed matter realizations of the Dirac and Weyl equations. In particular, they serve as a starting point for the study of topological phases. This physics has been extensively studied in…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 P. Sathish Kumar , Igor F. Herbut , R. Ganesh

We demonstrate theoretically that the topology of energy bands and Fermi surface in bilayer graphene undergoes a very sensitive transition when extremely tiny lateral interlayer shift occurs in arbitrary directions. The phenomenon…

Mesoscale and Nanoscale Physics · Physics 2011-10-17 Young-Woo Son , Seon-Myeong Choi , Yoon Pyo Hong , Sungjong Woo , Seung-Hoon Jhi

We study the Hall conductivity in single layer gapped Dirac fermion materials including coupling to a phonon field, which not only modifies the quasi-particle dynamics through the usual self-energy term but also renormalizes directly the…

Strongly Correlated Electrons · Physics 2015-06-17 Zhou Li , J. P. Carbotte

We theoretically study the influence of impurity scattering on the electric and thermal transport of borophane layer, a two-dimensional anisotropic Dirac semi-metal with two tilted and anisotropic Dirac cones. In a systematic framework, we…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Moslem Zare

Graphene-based multilayer systems serve as versatile platforms for exploring the interplay between electron correlation and topology, thanks to distinctive low-energy bands marked by significant quantum metric and Berry curvature from…

Strongly Correlated Electrons · Physics 2026-01-30 Niklas Witt , Siheon Ryee , Lennart Klebl , Jennifer Cano , Giorgio Sangiovanni , Tim O. Wehling

Twisted bilayer graphene is an excellent example of highly correlated system demonstrating a nearly flat electron band, the Mott transition and probably a spin liquid state. Besides the one-electron picture, analysis of Dirac points is…

Strongly Correlated Electrons · Physics 2018-06-28 V. Yu. Irkhin , Yu. N. Skryabin

We have laid out the results of a rigorous theoretical investigation into the response of electron dressed states, i.e., interacting Floquet states arising from the off-resonant coupling of Dirac spin-1 electrons in the $\alpha$-$T_3$…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Andrii Iurov , Godfrey Gumbs , Danhong Huang

Discussions based upon rigorous derivations show the validity range of the analogy between solid state materials like graphene which possess K symmetry crystallographic points in k-space, and the relativistic solutions for massive and low…

Applied Physics · Physics 2019-12-24 C. M. Krowne

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

We develop an analytic formalism to describe dipole radiation near the Dirac cone of a two-dimensional photonic crystal slab. In contrast to earlier work, we account for all polarization effects and derive a closed-form expression for the…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 Janos Perczel , Mikhail D. Lukin

Photoinduced topological phase transitions in the Dirac-electron systems have attracted intensive research interest since its theoretical prediction in graphene, where the application of circularly polarized light opens a gap at the Dirac…

Strongly Correlated Electrons · Physics 2022-09-27 Keisuke Kitayama , Masao Ogata , Masahito Mochizuki , Yasuhiro Tanaka

We present a reformulation of quantum adiabatic theory in terms of an emergent electromagnetic framework, emphasizing the physical consequences of geometric structures in parameter space. Contrary to conventional approaches, we demonstrate…

Quantum Physics · Physics 2025-08-15 Georgios Konstantinou

The low energy continuum limit of graphene is effectively known to be modeled using Dirac equation in (2+1) dimensions. We consider the possibility of using modulated high frequency periodic driving of a two-dimension system (optical…

Mesoscale and Nanoscale Physics · Physics 2015-09-30 Tridev Mishra , Tapomoy Guha Sarkar , Jayendra N. Bandyopadhyay

We explore the optical properties of periodic layered media containing left-handed metamaterials. This study is based on several analogies between the propagation of light in metamaterials and charge transport in graphene. We derive the…

Optics · Physics 2013-08-09 Yury P. Bliokh , Valentin Freilikher , Franco Nori

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

We show that the simplest of existing molecules -- closed-shell diatomics not interacting with one another -- host topological charges when driven by periodic far-off-resonant laser pulses. A periodically kicked molecular rotor can be…

Mesoscale and Nanoscale Physics · Physics 2023-03-29 Volker Karle , Areg Ghazaryan , Mikhail Lemeshko

The effect of the Dirac cone tilt of anisotropic two-dimensional materials on the time evolution of coherent electron states in the presence of electric and magnetic fields is studied. We propose a canonical transformation that maps the…

Mesoscale and Nanoscale Physics · Physics 2022-01-11 Yonatan Betancur-Ocampo , Erik Díaz-Bautista , Thomas Stegmann

The dynamics of Dirac-Weyl spin-polarized wavepackets driven by periodic electric field is considered for the electrons in a mesoscopic quantum dot formed at the edge of two-dimensional HgTe/CdTe topological insulator with Dirac-Weyl…

Mesoscale and Nanoscale Physics · Physics 2017-01-12 D. V. Khomitsky , A. A. Chubanov , A. A. Konakov

The 8-Pmmn borophene, a boron analogue of graphene, hosts tilted and anisotropic massless Dirac fermion quasiparticles owing to the presence of the distorted graphene-like sublattice. First-principles calculations show that the stacked…

We study the topology of the order parameter in the intermediate phase between the superconducting and time-reversal symmetry breaking transitions of a $p_x+ip_y$ superconductor under strain. The application of in-plane strain reduces the…

Superconductivity · Physics 2025-11-25 Canon Sun , Marcel Franz , Joseph Maciejko
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