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In electron field emission experiments, a linear relationship in plots of slope vs. intercept obtained from Fowler-Nordheim analysis is commonly observed for single tips or tip arrays. By simulating samples with many tips, it is shown here…

Mesoscale and Nanoscale Physics · Physics 2013-10-16 Arun Persaud

The closed-form expressions of electric potentials and field lines for a uniformly-charged tube and cylinder are presented using elliptic integrals and Appell's hypergeometric functions, where field lines are depicted by introducing the…

Mathematical Physics · Physics 2025-10-14 Daisuke A. Takahashi

We advocate an effective field theory approach to anomalous couplings. The effective field theory approach is the natural way to extend the standard model such that the gauge symmetries are respected. It is general enough to capture any…

High Energy Physics - Phenomenology · Physics 2015-06-05 Celine Degrande , Nicolas Greiner , Wolfgang Kilian , Olivier Mattelaer , Harrison Mebane , Tim Stelzer , Scott Willenbrock , Cen Zhang

The Fowler-Nordheim tunneling current formula has been widely used in the design of devices based on metal/insulator (metal/semiconductor) heterojunctions with triangle potential barriers, such as the flash memory. Here we adopt the model…

Mesoscale and Nanoscale Physics · Physics 2021-03-23 Zenghua Cai , Menglin Huang , Peng Zhou , Shiyou Chen

This paper presents an elementary, approximate analytical treatment of cold field electron emission (CFE) from a classical nanowall. A simple model is used to bring out some of the basic physics of a class of field emitter where quantum…

Mesoscale and Nanoscale Physics · Physics 2012-09-05 Xizhou Qin , Weiliang Wang , Ningsheng Xu , Zhibing Li , Richard G. Forbes

In World Line Path Integral representation Abelian Higgs theories admit a curvature term in the Hamiltonian. Using Monte Carlo simulations we show that the curvature term drives a phase transition at sufficiently strong coupling. In…

High Energy Physics - Lattice · Physics 2007-05-23 A. Pap , P. Suranyi

In this paper we present the complete derivation of the effective contour model for electrical discharges which appears as the asymptotic limit of the minimal streamer model for the propagation of electric discharges, when the electron…

Plasma Physics · Physics 2011-09-06 M. Arrayás , M. A. Fontelos

The cosine law of field enhancement factor variation was recently derived for a hemi-ellipsoidal emitter and numerically established for other smooth emitter shapes (Biswas et al, Ultramicroscopy, 185, 1 (2018)). An analytical derivation is…

Applied Physics · Physics 2022-01-06 Debabrata Biswas , Gaurav Singh , Rajasree Ramachandran

Fiber nonlinearity compensation of probabilistically shaped constellations with adaptive turbo equalization is investigated for the first time. Potential for more than 100% transmission reach extension is demonstrated by combining…

Signal Processing · Electrical Eng. & Systems 2023-02-27 Edson Porto da Silva , Metodi Plamenov Yankov

Recently, it was suggested that there was some sort of breakdown of quantum field theory in the presence of boundaries, manifesting itself as a torque anomaly. In particular, Fulling et al. used the finite energy-momentum-stress tensor in…

High Energy Physics - Theory · Physics 2014-01-29 Kimball A. Milton , Prachi Parashar , E. K. Abalo , Fardin Kheirandish , Klaus Kirsten

Coulomb systems in which the particles interact through the $d$-dimensional Coulomb potential but are confined in a flat manifold of dimension $d - 1$ are considered. The Coulomb potential is defined with some boundary condition involving a…

Condensed Matter · Physics 2019-08-17 P. J. Forrester , B. Jancovici , G. Tellez

Field electron emission (FE) has relevance in many different technological contexts. However, many related technological papers use a physically defective elementary FE equation for local emission current density (LECD). This equation takes…

Mesoscale and Nanoscale Physics · Physics 2020-01-08 Richard G. Forbes

Semiclassical periodic-orbit theory and closed-orbit theory represent a quantum spectrum as a superposition of contributions from individual classical orbits. Close to a bifurcation, these contributions diverge and have to be replaced with…

Chaotic Dynamics · Physics 2009-11-10 T. Bartsch , J. Main , G. Wunner

The one-loop structure of the trace anomaly is investigated using different regularizations and renormalization schemes: dimensional, proper time and Pauli-Villars. The universality of this anomaly is analyzed from a very general…

High Energy Physics - Theory · Physics 2009-02-25 M. Asorey , E. V. Gorbar , I. L. Shapiro

Electron field emission characteristics of individual multiwalled carbon nanotubes have been investigated by a piezoelectric nanomanipulation system operating inside a scanning electron microscopy chamber. The experimental setup ensures a…

Materials Science · Physics 2011-02-10 M. Passacantando , F. Bussolotti , S. Santucci , A. Di Bartolomeo , F. Giubileo , L. Iemmo , A. M. Cucolo

Herein, the canonical Fowler-Nordheim theory is extended by computing the zero-temperature transmission probability for the more general case of a barrier described by a fractional power law. An exact analytical formula is derived, written…

Materials Science · Physics 2023-05-18 Naira Grigoryan , Agata Roszkiewicz , Piotr Chudzinski

We construct a bosonic quantum field on a general quantum graph. Consistency of the construction leads to the calculation of the total scattering matrix of the graph. This matrix is equivalent to the one already proposed using generalized…

High Energy Physics - Theory · Physics 2009-08-05 E. Ragoucy

The critical value of the atom-field coupling strength for a finite number of atoms is deter- mined by means of both, semiclassical and exact solutions. In the semiclassical approach we use a variational procedure with coherent and…

Quantum Physics · Physics 2012-12-05 Octavio Castaños , Eduardo Nahmad-Achar , Ramón López-Peña , Jorge G. Hirsch

A finite-size uniform random distribution of vertically aligned field emitters on a planar surface is studied under the assumption that the asymptotic field is uniform and parallel to the emitter axis. A formula for field enhancement factor…

Applied Physics · Physics 2019-05-08 Debabrata Biswas , Rashbihari Rudra

This article introduces an improved approach to Fowler-Nordheim (FN) plot analysis, based on a new type of intercept correction factor. This factor is more cleanly defined than the factor previously used. General enabling theory is given…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Richard G. Forbes , Andreas Fischer , Marwan S. Mousa