Suppression of guidance force decay of HTS bulk exposed to AC magnetic field perturbation in a maglev vehicle system

2009 ◽  
Vol 469 (13) ◽  
pp. 685-688 ◽  
Author(s):  
Longcai Zhang ◽  
Suyu Wang ◽  
Jiasu Wang
Keyword(s):  
Magnetic Field ◽  
Guidance Force ◽  
Field Perturbation ◽  
Hts Bulk ◽  
Maglev Vehicle ◽  
Vehicle System ◽  
Force Decay ◽  
Guidance Force Decay ◽  
Maglev Vehicle System ◽  
Magnetic Field Perturbation

Influence of AC external magnetic field perturbation on trapped magnetic field in HTS bulk

2003 ◽  
Vol 386 ◽  
pp. 26-30 ◽  
Author(s):  
J. Ogawa ◽  
M. Iwamoto ◽  
K. Yamagishi ◽  
O. Tsukamoto ◽  
M. Murakami ◽  
...  
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Field Perturbation ◽  
Hts Bulk ◽  
Trapped Magnetic Field ◽  
Magnetic Field Perturbation

Peierls’ substitution via minimal coupling and magnetic pseudo-differential calculus

2019 ◽  
Vol 31 (03) ◽  
pp. 1950008
Author(s):  
Horia D. Cornean ◽  
Viorel Iftimie ◽  
Radu Purice
Keyword(s):  
Magnetic Field ◽  
Differential Calculus ◽  
Spectral Band ◽  
Spatial Decay ◽  
Minimal Coupling ◽  
Field Perturbation ◽  
Wannier Functions ◽  
Weak Magnetic Fields ◽  
The Magnetic Field ◽  
Magnetic Field Perturbation

We revisit the celebrated Peierls–Onsager substitution for weak magnetic fields with no spatial decay conditions. We assume that the non-magnetic [Formula: see text]-periodic Hamiltonian has an isolated spectral band whose Riesz projection has a range which admits a basis generated by [Formula: see text] exponentially localized composite Wannier functions. Then we show that the effective magnetic band Hamiltonian is unitarily equivalent to a Hofstadter-like magnetic matrix living in [Formula: see text]. In addition, if the magnetic field perturbation is slowly variable in space, then the perturbed spectral island is close (in the Hausdorff distance) to the spectrum of a Weyl quantized minimally coupled symbol. This symbol only depends on [Formula: see text] and is [Formula: see text]-periodic; if [Formula: see text], the symbol equals the Bloch eigenvalue itself. In particular, this rigorously formulates a result from 1951 by J. M. Luttinger.

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