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Realistic applications in metal detection involve multiple inhomogeneous conducting permeable objects and the aim of this paper is to characterise such objects by polarizability tensors. We show that, for the eddy current model, the leading…

Analysis of PDEs · Mathematics 2018-09-25 P. D. Ledger , W. R. B. Lionheart , A. A. S. Amad

The weak-field Hall conductivity in metals is interpreted in terms of the curvature of the Fermi surface in the main part. In the appendix the orbital magnetic-susceptibility and the magneto-conductivity in metals are discussed focusing on…

Mesoscale and Nanoscale Physics · Physics 2024-09-11 Osamu Narikiyo

Fractal time series has been shown to be self-affine and are characterized by a roughness exponent H. The exponent H is a measure of the persistence of the fluctuations associated with the time series. We use a recently introduced method…

Statistical Mechanics · Physics 2007-05-23 J. R. Sanchez , C. M. Arizmendi

The classification of materials into insulators and conductors has been shaken up by the discovery of topological insulators that conduct robustly at the edge but not in the bulk. In mechanics, designating a material as insulating or…

Soft Condensed Matter · Physics 2016-11-15 Anne S. Meeussen , Jayson Paulose , Vincenzo Vitelli

An analytical model invoking variations in the charge-carrier density is used to generate magnetoresistance curves that are almost indistinguishable from those produced by sophisticated numerical models. This demonstrates that, though…

Superconductivity · Physics 2020-07-08 John Singleton

Theoretical treatments of frictional granular matter often assume that it is legitimate to invoke classical elastic theory to describe its coarse-grained mechanical properties. Here we show, based on experiments and numerical simulations,…

Soft Condensed Matter · Physics 2021-02-24 Anaël Lemaître , Chandana Mondal , Itamar Procaccia , Saikat Roy , Yinqiao Wang , Jie Zhang

A new general expression is derived for the fluctuating electromagnetic field outside a metal surface, in terms of its surface impedance. It provides a generalization to real metals of Lifshitz theory of molecular interactions between…

Quantum Physics · Physics 2008-11-26 Giuseppe Bimonte

We study weakly disordered quantum wires whose width is large compared to the Fermi wavelength. It is conjectured that such wires diplay universal metallic behaviour as long as their length is shorter than the localization length (which…

Mathematical Physics · Physics 2015-05-14 S. Bachmann , W. De Roeck

The numerical complex coupled-mode method used in a metal thin-film optic element is applied to a planar multilayer optical waveguide. All modes are required to satisfy Helmholtz Vectorial equation in an optical waveguide including bound…

Optics · Physics 2020-01-06 Shahram Moradi

We suggest to use `fluctuation spectroscopy' as a method to detect granularity in a disordered metal close to a superconducting transition. We show that with lowering temperature $T$ the resistance $R(T)$ of a system of relatively large…

Superconductivity · Physics 2008-03-26 I. V. Lerner , A. A. Varlamov , V. M. Vinokur

Recent experiments with nanopatterned thin films revealed an unusual quantum superconductor to metal phase transition (QSMT) with a linear in temperature resistivity. In contrast, most known examples of such transitions and standard…

Strongly Correlated Electrons · Physics 2024-04-08 Jaewon Kim , Erez Berg , Ehud Altman

A central unresolved question in the theory of superconductivity is why only a small subset of metallic elements exhibit a superconducting state, whereas many others remain strictly normal. Neither the conventional Bardeen Cooper Schrieffer…

Superconductivity · Physics 2026-01-22 Jaehwahn Kim , Davis A. Rens , Waqas Khalid , Hyunchul Kim

Strong second-harmonic generation has recently been experimentally observed from metamaterials consisting of periodic arrays of metal split ring resonators with an effective negative magnetic permeability [Science, 313, 502 (2006)]. To…

Materials Science · Physics 2012-05-22 Yong Zeng , Walter Hoyer , Jinjie Liu , Stephan W. Koch , Jerome V. Moloney

Contraction theory is an analytical tool to study differential dynamics of a non-autonomous (i.e., time-varying) nonlinear system under a contraction metric defined with a uniformly positive definite matrix, the existence of which results…

Machine Learning · Computer Science 2026-03-18 Hiroyasu Tsukamoto , Soon-Jo Chung , Jean-Jacques E. Slotine

The strange-metal phase of overdoped cuprate superconductors exhibits a linear in temperature resistivity in the low temperature, however, the origin of this remarkable anomaly is still not well understood. Here the linear temperature…

Superconductivity · Physics 2023-10-04 Xingyu Ma , Minghuan Zeng , Zhangkai Cao , Shiping Feng

In a general class of one dimensional random differential equation the convergence of the distribution function of the solution to stationary state distribution is studied. In particular it is proved the boundedness respectively the…

Probability · Mathematics 2010-07-07 Gyorgy Steinbrecher , Xavier Garbet , Boris Weyssow

The effect of negative magnetoresistance for thin superconducting wire was considered in a simple model. These phenomena originated from competition of two mechanism: fluctuations of the order parameter and quasiparticles charge imbalance…

Superconductivity · Physics 2021-01-28 Boris Ya. Shapiro

Single particle states in a chain with quasiperiodic potential show a metal-insulator transition upon the change of the potential strength. We consider two particles with local interaction in the single particle insulating regime. The two…

Quantum Physics · Physics 2015-06-03 Sergej Flach , Mikhail Ivanchenko , Ramaz Khomeriki

Resistivity of metals is commonly observed either to 'escalate' beyond the Ioffe-Regel limit (mean free path l equal to lattice constant a) or to 'saturate' at this point. It is argued that neither behavior is well-understood, and that…

Strongly Correlated Electrons · Physics 2009-11-07 Philip B. Allen

Recent cold atom experiments have observed bad and strange metal behaviors in strongly-interacting Fermi-Hubbard systems. Motivated by these results, we calculate the thermoelectric transport properties of a 2D Fermi-Hubbard system in the…

Quantum Gases · Physics 2021-08-27 Thomas G. Kiely , Erich J. Mueller