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Klein's paradox refers to the transmission of a relativistic particle through a high potential barrier. Although it has a simple resolution in terms of particle-to-antiparticle tunneling (Klein tunneling), debates on its physical meaning…

Mesoscale and Nanoscale Physics · Physics 2024-03-19 Keiji Nakatsugawa , Xiao Hu

Flat band materials such as the kagome metals or moir\'e superlattice systems are of intense current interest. Flat bands can result from the electron motion on numerous (special) lattices and usually exhibit topological properties. Their…

Strongly Correlated Electrons · Physics 2024-05-28 Joseph G. Checkelsky , B. Andrei Bernevig , Piers Coleman , Qimiao Si , Silke Paschen

We theoretically investigate Klein tunneling processes in photonic artificial graphene. Klein tunneling is a phenomenon in which a particle with Dirac dispersion going through a potential step shows a characteristic angle- and…

Optics · Physics 2017-07-21 Tomoki Ozawa , Alberto Amo , Jacqueline Bloch , Iacopo Carusotto

The formation of metallic nanofilaments bridging two electrodes across an insulator is a mechanism for resistive switching. Examples of such phenomena include atomic synapses, which constitute a distinct class of memristive devices whose…

Mesoscale and Nanoscale Physics · Physics 2025-06-23 Alison A. Silva , Fabiano M. Andrade , Francesco Caravelli

In strongly correlated electronic systems, Coulomb interactions frequently manifest through emergent electronic orders that spontaneously break rotational symmetry. Understanding how such symmetry breaking intertwines with other collective…

Mesoscale and Nanoscale Physics · Physics 2026-01-07 Peiyu Qin , Hai-Tian Wu , Ron Q. Nguyen , Erin Morissette , Naiyuan J. Zhang , K. Watanabe , T. Taniguchi , J. I. A. Li

The low energy spectrum of a particle in planar honeycomb lattices is conical, which leads to the unusual electronic properties of graphene. In this letter we calculate the quasienergy spectra of a charged particle in honeycomb lattices…

Other Condensed Matter · Physics 2015-05-13 Wei Zhang , Ping Zhang , Suqing Duan , Xian-Geng Zhao

Applying time-periodic modulations is routinely used to control and design synthetic matter in quantum-engineered settings. In lattice systems, this approach is explored to engineer band structures with non-trivial topological properties,…

Quantum Gases · Physics 2022-04-28 Maxime Jamotte , Nathan Goldman , Marco Di Liberto

Electrons in graphene, behaving as massless relativistic Dirac particles, provide a new perspective on the relation between condensed matter and high-energy physics. We discuss atomic collapse, a novel state of superheavy atoms stripped of…

Mesoscale and Nanoscale Physics · Physics 2009-05-30 Andrei Shytov , Mark Rudner , Nan Gu , Mikhail Katsnelson , Leonid Levitov

Typically, energy levels change without bifurcating in response to a change of a control parameter. Bifurcations can lead to loops or swallowtails in the energy spectrum. The simplest quantum Hamiltonian that supports swallowtails is a…

Quantum Gases · Physics 2020-11-25 Q. Guan , M. K. H. Ome , T. M. Bersano , S. Mossman , P. Engels , D. Blume

In graphene, the pseudospin and the valley flavor arise as new types of quantum degrees of freedom due to the honeycomb lattice comprising two sublattices (A and B) and two inequivalent Dirac points (K and K') in the Brillouin zone,…

Mesoscale and Nanoscale Physics · Physics 2011-12-26 Changwon Park , Heejun Yang , Andrew J. Mayne , Gerald Dujardin , Sunae Seo , Young Kuk , Jisoon Ihm , Gunn Kim

In this paper we study transport properties of electrons on the two-dimensional honeycomb lattice. We consider a half-filled system in the vicinity of a symmetry-breaking transition from a semimetallic phase towards an insulating phase with…

Strongly Correlated Electrons · Physics 2015-05-20 Lars Fritz

Spin-1/2 particles such as the electron are described by the Dirac equation, which allows for two spin eigenvalues (up or down) and two types of energy eigenvalues (positive or negative, corresponding to the electron and the positron). A…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Matthew Mecklenburg , B. C. Regan

Dirac-electronic tunneling and nonlinear transport properties with both finite and zero energy bandgap are investigated for graphene with a tilted potential barrier under a bias. For validation, results from a finite-difference based…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Farhana Anwar , Andrii Iurov , Danhong Huang , Godfrey Gumbs , Ashwani Sharma

Compression dramatically changes the transport and localization properties of graphene. This is intimately related to the change of symmetry of the Dirac cone when the particle hopping is different along different directions of the lattice.…

Mesoscale and Nanoscale Physics · Physics 2020-11-05 B. Real , O. Jamadi , M. Milićević , N. Pernet , P. St-Jean , T. Ozawa , G. Montambaux , I. Sagnes , A. Lemaître , L. Le Gratiet , A. Harouri , S. Ravets , J. Bloch , A. Amo

We numerically investigate the effect of Klein tunneling on the Aharonov-Bohm oscillations in graphene rings using a tight-binding model with nearest-neighbor couplings. In order to introduce Klein tunneling into the system, we apply an…

Mesoscale and Nanoscale Physics · Physics 2010-05-31 Jörg Schelter , Dan Bohr , Björn Trauzettel

The so-called Klein paradox - unimpeded penetration of relativistic particles through high and wide potential barriers - is one of the most exotic and counterintuitive consequences of quantum electrodynamics (QED). The phenomenon is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. I. Katsnelson , K. S. Novoselov , A. K. Geim

We study transport in undoped graphene in the presence of a superlattice potential both within a simple continuum model and using numerical tight-binding calculations. The continuum model demonstrates that the conductivity of the system is…

Mesoscale and Nanoscale Physics · Physics 2011-05-31 P. Burset , A. Levy Yeyati , L. Brey , H. A. Fertig

Nonequilibrium quantum transport is of central importance in nanotechnology. Its description requires the understanding of strong electronic correlations, which couple atomic-scale phenomena to the nanoscale. So far, research in correlated…

Mesoscale and Nanoscale Physics · Physics 2023-08-16 A. Erpenbeck , E. Gull , G. Cohen

We analyze quantum transport of charged fermionic particles in the tight-binding lattice connecting two particle reservoirs (the leads). If the lead chemical potentials are different they create an electric field which tilts the lattice. We…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Andrey R. Kolovsky

We investigate the anomalous effects due to the Berry correction and the considerable perturbations in the silicene-like hexagonal lattice system. The Berry curvature in periodic Bloch band system which related to the electromagnetic field…

Mesoscale and Nanoscale Physics · Physics 2018-07-31 Chen-Huan Wu