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A thin superconductor platelet with elliptic shape in a perpendicular magnetic field is considered. Using a method originally applied to circular disks, we obtain an approximate analytic solution for the two-dimensional critical state of…

Condensed Matter · Physics 2009-10-31 Grigorii P. Mikitik , Ernst Helmut Brandt

Spontaneous emission spectra of two initially excited closely spaced identical atoms are very sensitive to the strength and the direction of the applied magnetic field. The relevant schemes are considered that ensure the determination of…

Atomic Physics · Physics 2018-04-18 E. S. Redchenko , A. A. Makarov , V. I. Yudson

Atom probe tomography (APT) helps elucidate the link between the nanoscale chemical variations and physical properties, but it has limited structural resolution. Field ion microscopy (FIM), a predecessor technique to APT, is capable of…

We propose a new method to investigate interactions involved in atomic force microscopy (AFM). It is a dynamical method relying on the growth of oscillations via parametric resonance. With this method the second and third derivatives of the…

Materials Science · Physics 2007-05-23 Franz-Josef Elmer

Atomic force microscopy is based on tip sample interaction, which is determined by the properties of tip and sample. Unfortunately, in particular in ambient conditions the tip as well as the sample are contaminated, and it is not clear how…

Mesoscale and Nanoscale Physics · Physics 2017-12-19 J. Sánchez , L. Almonte , J. Colchero

High-speed atomic force microscopy (HS-AFM) is an indispensable technique in the biological field owing to its excellent imaging capability for the real-time observation of biomolecules with high spatial resolution. Furthermore, recent…

We present results of Niobium based SQUID magnetometers for which the weak-links are engineered by the local oxidation of thin films using an Atomic Force Microscope (AFM). Firstly, we show that this technique allows the creation of…

Atomic-scale characteristics of surfaces dictate the principles governing numerous scientific phenomena ranging from catalysis to friction. Despite this fact, our ability to visualize and alter surfaces on the atomic scale is severely…

Applied Physics · Physics 2021-10-06 Saima A. Sumaiya , Mehmet Z. Baykara

Ferroelectric materials possess spontaneous polarization that can be used for multiple applications. Owing to a long term development for reducing the sizes of devices, the preparation of ferroelectric materials and devices are entering…

The atomic force microscope (AFM) is a versatile, high-resolution tool used to characterize the topography and material properties of a large variety of specimens at nano-scale. The interaction of the micro-cantilever tip with the specimen…

Materials Science · Physics 2011-09-05 David Busch , Qingze Zou , Baskar Ganapathysubramanian

An {\it atomistic} approach allowing an accurate and efficient treatment of depolarizing energy and field in {\it any} low-dimensional ferroelectric structure is developed. Application of this approach demonstrates the limits of the widely…

Materials Science · Physics 2015-06-25 I. Ponomareva , I. I. Naumov , I. Kornev , Huaxiang Fu , L. Bellaiche

The distance dependence and atomic-scale contrast observed in nominal contact potential difference (CPD) signals recorded by KPFM on surfaces of insulating and semiconducting samples, have stimulated theoretical attempts to explain such…

This article reviews the progress of atomic force microscopy (AFM) in ultra-high vacuum, starting with its invention and covering most of the recent developments. Today, dynamic force microscopy allows to image surfaces of conductors…

Materials Science · Physics 2009-11-10 Franz J. Giessibl

A novel energy minimization formulation of electrostatics that allows computation of the electrostatic energy and forces to any desired accuracy in a system with arbitrary dielectric properties is presented. An integral equation for the…

Classical Physics · Physics 2009-11-13 O. I. Obolensky , T. P. Doerr , R. Ray , Yi-Kuo Yu

We present an analytical solution for the magnetic field of a homogeneously magnetized cylinder tile and by extension solutions for full cylinders, rings, cylinder sectors and ring segments. The derivation is done by direct integration in…

Classical Physics · Physics 2022-06-22 Florian Slanovc , Michael Ortner , Mohssen Moridi , Claas Abert , Dieter Suess

A multiple-image method is developed to accurately calculate the electrostatic interaction between neutral dielectric particles and a uniformly charged dielectric substrate. The difference in dielectric constants between the particle and…

Soft Condensed Matter · Physics 2024-12-18 Xin Li , Changhao Li , Xiangui Chen , Zaixin Wang , Sun Min , Decai Huang

The ongoing development of single electron, nano and atomic scale semiconductor devices would benefit greatly from a characterization tool capable of detecting single electron charging events with high spatial resolution, at low…

Mesoscale and Nanoscale Physics · Physics 2024-03-22 José Bustamante , Yoichi Miyahara , Logan Fairgrieve-Park , Kieran Spruce , Patrick See , Neil Curson , Taylor Stock , Peter Grutter

We suggest simple model of image formation in atomic force microscope (AFM) taking into account contact deformations of probe and sample during scanning. The model explains the possibility of AFM visualization of regular atomic or molecular…

Materials Science · Physics 2011-07-25 M. O. Gallyamov , I. V. Yaminsky

Electrostatic force microscopy (EFM) can image nanoscale objects buried below the surface. Here, we theoretically show that this capability can be used to obtain nanotomographic information, i.e., the physical dimensions and dielectric…

Instrumentation and Detectors · Physics 2025-02-04 Rene Fabregas , Gabriel Gomila

A large area field emitter (LAFE) typically consists of several thousands of nanoscale emitting tips. These are difficult to simulate using purely numerical methods based on finite/boundary element or finite difference methods. We show here…

Applied Physics · Physics 2022-07-21 Debabrata Biswas , Rashbihari Rudra , Raghwendra Kumar