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The deposition of a two-dimensional material on the surface of a three-dimensional crystal can generate superlattices with electronic properties modified through the proximity spin-orbit effect. In this study, we found that Kekul\'e…

Graphene's electronic structure can be fundamentally altered when a substrate- or adatom-induced Kekul\'e superlattice couples the valley and isospin degrees of freedom. Here, we show that the band structure of Kekul\'e-textured graphene…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 David A. Ruiz-Tijerina , Elias Andrade , Ramon Carrillo-Bastos , Francisco Mireles , Gerardo G. Naumis

The formation of a superlattice in graphene can serve as a way to modify its electronic bandstructure and thus to engineer its electronic transport properties. Recent experiments have discovered a Kekul\'e bond ordering in graphene…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Elias Andrade , Ramon Carrillo-Bastos , Pierre A. Pantaleón , Francisco Mireles

We foretell a new pseudospin-dependent phenomenon in mono-layer graphene (MLG), which is numerically simulated \emph{via} an innovator nano-spintronic device. We proposed a novel theoretical procedure for describing the dynamics of Dirac…

Mesoscale and Nanoscale Physics · Physics 2020-10-20 L. Diago-Cisneros , Eduardo Serna , I. Rodríguez Vargas , R. Pérez-Álvarez

Kekul\'e phases are Peierls-like lattice distortions in graphene that are predicted to host novel electronic states beyond graphene (1-8). Although the Kekul\'e phases are realized in graphene through introducing electron-electron…

Materials Science · Physics 2022-08-03 Mo-Han Zhang , Ya-Ning Ren , Qi Zheng , Xiao-Feng Zhou , Lin He

Breaking the intrinsic chirality of quasiparticles in graphene enables the emergence of new and intriguing phases. One such paradigmatic example is the bond density wave, which leads to a Kekul\'{e}-ordered structure and underpins exotic…

Mesoscale and Nanoscale Physics · Physics 2025-06-23 Dominik Szczȩśniak

The Zitterbewegung (ZB) effect is investigated in graphene with spacially modulated potential near the original Dirac point (ODP) and extra Dirac points (EDPs). Our calculations show that to get the large ZB oscillations, the wave packet…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 Abdellatif Kamal , Ahmed Jellal

The Kibble-Zurek (KZ) mechanism renders a theoretical framework for elucidating the formation of topological defects across continuous phase transitions. Nevertheless, it is not immediately clear whether the KZ mechanism applies to…

The collective properties of different quasiparticles in various graphene based structures in high magnetic field have been studied. We predict Bose-Einstein condensation (BEC) and superfluidity of 2D spatially indirect magnetoexcitons in…

Mesoscale and Nanoscale Physics · Physics 2015-05-14 Oleg L. Berman , Roman Ya. Kezerashvili , Yurii E. Lozovik

The transport properties of electrons in graphene $p$-$n$ junction with uniform Kekul\'e lattice distortion have been studied using the tight-binding model and the Landauer-B\"uttiker formalism combined with the nonequilibrium Green's…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Peipei Zhang , Chao Wang , Yu-Xian Li , Lixue Zhai , Juntao Song

A Kekul\'e lattice is an exotic, distorted lattice structure exhibiting alternating bond lengths, distinguished from naturally formed atomic crystals. Despite its evident applicability, the formation of a Kekul\'e lattice from topological…

Strongly Correlated Electrons · Physics 2025-08-12 Kyoung-Min Kim , Se Kwon Kim

We investigate the dynamics of the Weyl quasiparticles emerged in an optical lattice where the topological Weyl semimental and trivial band insulator phases can be adjusted with the on-site energy. The evolution of the density distribution…

Quantum Gases · Physics 2016-10-19 Zhi Li , Huai-Qiang Wang , Dan-Wei Zhang , Shi-Liang Zhu , Ding-Yu Xing

Recent experiments by Guti\'errez $\textit{et al.}$ [Nature Phys. $\textbf{12}$, 950 (2016)] on a graphene-copper superlattice have revealed an unusual Kekul\'e bond texture in the honeycomb lattice --- a Y-shaped modulation of weak and…

Mesoscale and Nanoscale Physics · Physics 2018-02-12 O. V. Gamayun , V. P. Ostroukh , N. V. Gnezdilov , İ. Adagideli , C. W. J. Beenakker

Zitterbewegung (ZB) is a phenomenon in relativistic quantum systems where the electron wave packet exhibits a trembling or oscillating behavior during its motion, caused by its interaction or coupling with the negative energy state. To…

Quantum Physics · Physics 2017-02-01 Guanglei Wang , Hongya Xu , Liang Huang , Ying-Cheng Lai

Electrons in monolayer graphene in the presence of an electromagnetic (or electric) wave are considered theoretically. It is shown that the electron motion is a nonlinear combination of Zitterbewegung (ZB, trembling motion) resulting from…

Mesoscale and Nanoscale Physics · Physics 2013-12-11 Tomasz M Rusin , Wlodek Zawadzki

Twisted bilayer graphenes with magical angle exhibit strongly correlated electronic properties because of the isolated flat band at the Fermi level. We studied the twisted bilayer graphene with substrates on both layers. The substrate…

Mesoscale and Nanoscale Physics · Physics 2019-07-30 Ma Luo

We review recent research on Zitterbewegung (ZB, trembling motion) of electrons in semiconductors. A brief history of the subject is presented, the trembling motion in semirelativistic and spin systems is considered and its main features…

Mesoscale and Nanoscale Physics · Physics 2011-03-22 Wlodek Zawadzki , Tomasz M. Rusin

While it has been one of the most important new physics discoveries in the last decade, the nature of superconductivity in the twisted graphene family remains an unsolved problem. Motivated by recent scanning tunneling experiments that…

Superconductivity · Physics 2026-02-19 Ke Wang , K. Levin

Topological defects shape the material and transport properties of physical systems. Examples range from vortex lines in quantum superfluids, defect-mediated buckling of graphene, and grain boundaries in ferromagnets and colloidal crystals,…

Soft Condensed Matter · Physics 2018-03-23 Norbert Stoop , Jörn Dunkel

We consider the $\alpha$-$T_3$ model which provides a smooth crossover between the honeycomb lattice with pseudospin $1/2$ and the dice lattice with pseudospin $1$ through the variation of a parameter $\alpha$. We study the dynamics of a…

Mesoscale and Nanoscale Physics · Physics 2018-01-26 Tutul Biswas , Tarun Kanti Ghosh
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