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A charged particle in the presence of a magnetic field is studied in the position dependent operator formalism. Instead of a quantum harmonic oscillator, the solution of the resulting Schr\"odinger-like equation is the one for the Morse…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 R. N. Costa Filho , S. F. S. Oliveira , V. Aguiar

We provide an updated study of some electronic properties of graphene nanoscrolls, exploiting a related curved space Dirac equation for the charge carriers. To this end, we consider an explicit parametrization in cylindrical coordinates,…

High Energy Physics - Theory · Physics 2022-05-19 Antonio Gallerati

Single layers of hexagonal two-dimensional nanostructures such as graphene, silicene, and germanene exhibit large carrier Fermi velocities and, consequently, large light-matter coupling strength making these materials promising elements for…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 H. K. Avetissian , G. F. Mkrtchian , K. G. Batrakov , S. A. Maksimenko

Nanoscale control of charge doping in two-dimensional (2D) materials permits the realization of electronic analogs of optical phenomena, relativistic physics at low energies, and technologically promising nanoelectronics. Electrostatic…

Chemical, mechanical, thermal and/or electronic properties of bulk or low-dimensional materials can be engineered by introducing structural defects to form novel functionalities. When using particles irradiation, these defects can be…

Materials Science · Physics 2022-02-07 L. Basta , A. Moscardini , S. Veronesi , F. Bianco

Electrical Impedance Tomography gives rise to the severely ill-posed Calder\'on problem of determining the electrical conductivity distribution in a bounded domain from knowledge of the associated Dirichlet-to-Neumann map for the governing…

Analysis of PDEs · Mathematics 2022-01-26 Kim Knudsen , Aksel K. Rasmussen

We present a new dimensional scaling transformation of the Schrodinger equation for the two electron bond. This yields, for the first time, a good description of the two electron bond via D-scaling. There also emerges, in the large-D limit,…

Chemical Physics · Physics 2009-11-11 Anatoly A. Svidzinsky , Marlan O. Scully , Dudley R. Herschbach

We find the inconsistency of dimensional reduction and naive dimensional regularization in their applications to Chern-Simons type gauge theories. Further we adopt a consistent dimensional regularization to investigate the quantum…

High Energy Physics - Theory · Physics 2009-10-31 M. Chaichian , W. F. Chen

Graphene nanoribbons (GNRs) are one-dimensional nanostructures predicted to display a rich variety of electronic behaviors. Depending on their structure, GNRs realize metallic and semiconducting electronic structures with band gaps that can…

Mesoscale and Nanoscale Physics · Physics 2013-10-16 Oleg V. Yazyev

Confinement of the electron gas along one of the spatial directions opens an avenue for studying fundamentals of quantum transport along the side of numerous practical electronic applications, with high-electron-mobility transistors being a…

Materials Science · Physics 2017-12-12 O. Rubel

A system of generalized kinetic equations for the distribution functions of two-dimensional Dirac fermions scattered by impurities is derived in the Born approximation with respect to short-range impurity potential. It is proven that the…

Mesoscale and Nanoscale Physics · Physics 2011-01-14 M. Auslender , M. I. Katsnelson

Geometric diodes, which take advantage of geometric asymmetry to achieve current flow preference, are promising for THz current rectification. Previous studies relate geometric diodes' rectification to quantum coherent or ballistic…

Applied Physics · Physics 2021-01-26 Mengmeng Bai , Yanqing Zhao , Shuting Xu , Yao Guo

The concept of the diode is usually applied to electronic and thermal devices but very rarely for mechanical ones. A recently proposed fracture rectification effect in polymer-based structures with triangular voids defects has motivated us…

Materials Science · Physics 2022-06-22 Levi C. Felix , Douglas S. Galvao

The last decade has seen a flurry of studies related to graphene nanoribbons owing to their potential applications in the quantum realm. However, little experimental work has been reported towards nanoribbons of other 2D materials due to…

Assembling two-dimensional van der Waals layered materials into heterostructures is an exciting development that sparked the discovery of rich correlated electronic phenomena and offers possibilities for designer device applications.…

We predict enhanced electron-hole superfluidity in two coupled electron-hole armchair-edge terminated graphene nanoribbons separated by a thin insulating barrier. In contrast to graphene monolayers, the multiple subbands of the nanoribbons…

Superconductivity · Physics 2016-05-10 M. Zarenia , A. Perali , F. M. Peeters , D. Neilson

An exact solution of non-stationary Schrodinger equation is obtained for a one-dimensional movement of electrons in an electromagnetic field with arbitrary intensity and frequency. Using it, the permeability coefficient is calculated for a…

Mesoscale and Nanoscale Physics · Physics 2012-10-09 M. V. Tkach , Ju. O. Seti , O. M. Voitsekhivska

We propose a unique way to control both bandgap and the magnetic properties of nanoscale graphene, which might prove highly beneficial for application in nanoelectronic and spintronic devices. We have shown that chemical doping by nitrogen…

Materials Science · Physics 2015-05-13 Julia Berashevich , Tapash Chakraborty

We show that surface plasmons of a two-dimensional Dirac metal such as graphene can be reflected by line-like perturbations hosting one-dimensional electron states. The reflection originates from a strong enhancement of the local optical…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Bor-Yuan Jiang , Guangxin Ni , Cheng Pan , Zhe Fei , Bin Cheng , Chun Ning Lau , Marc Bockrath , Dimitri N. Basov , Michael M. Fogler

Lateral two-dimensional (2D) tunnel diodes that reproduce metal-insulator-metal (MIM)-diode-like rectification without using dissimilar contacts are attractive for scalable nanoelectronics. MoS$_2$ can exist in both the semiconducting 1H…

Materials Science · Physics 2025-09-23 Elias Eckmann , Ersoy Şaşıoğlu , Nicki F. Hinsche , Ingrid Mertig