Studying Superconducting Granular Aluminum with Microwaves: An Apprenticeship

1990 ◽  
Vol 195 ◽  
Author(s):  
K. Alex MÜller

A substantial part of my scientific career has been devoted to using the methods of electron paramagnetic (EPR) and electron spin resonance (ESR) in solids. The former describe investigations of microwave transitions between Zeeman levels of paramagnetic ions, whereas the latter indicate transitions between nearly free, but stationary spins in radicals and semiconductors as well as itinerant carriers in semimetals and metals. As early as 1962 an ESR study in intercalated graphites was undertaken in the latter. ESR was observed in C8K, C24K and C28Rb, but not in C8Rb, C8Cs and C24Cs [1]. From the observed linewidths, which are larger for heavier alkali intercalates with larger spin-orbit coupling, it was concluded that the carrier wave function was composed not only of carbon π but also of alkali-metal s orbitals, as theories later corroborated.

2004 ◽  
Vol 59 (12) ◽  
pp. 938-942 ◽  
Author(s):  
Shao-Yi Wu ◽  
Hui-Ning Dong

The electron paramagnetic resonance (EPR) parameters g and the hyperfine structure constants A of Co2+ in ZnX (X = S, Se, Te) and CdTe are studied, using the perturbation formulas of the EPR parameters for a 3d7 ion in tetrahedra based on two mechanism models. In these formulas, both the contributions from the conventional crystal-field (CF) mechanism and those from the charge-transfer (CT) mechanism are taken into account. According to the investigations, the sign of the g-shift ΔgCT from the CT mechanism is the same as ΔgCF from the CF mechanism, whereas the contributions to the A value from the CF and CT mechanisms have opposite signs. Particularly, the contributions to the EPR parameters from the CT mechanism increase rapidly with increase of the spin-orbit coupling coefficient of the ligand and the covalency effect of the systems, i. e. S2− < Se2− < Te2−.


2012 ◽  
Vol 45 (5) ◽  
pp. 972-975
Author(s):  
Lianxuan Zhu ◽  
Minjie Wang

The electron paramagnetic resonance (EPR)g-factor formulas are constructed for ZnSe:Ti2+, CdTe:Ti2+and ZnSe:V3+crystals based on the contributions of the charge-transfer levels and the spin-orbit coupling effect of the central ion and the ligands. The EPRgfactors are calculated from these formulas, and the calculated values agree well with the experimental ones. The contribution rates of the charge-transfer levels are 10.1, 7.6 and 24.9% for ZnSe:Ti2+, CdTe:Ti2+and ZnSe:V3+crystals, respectively. Thegfactors obtained from the one-spin-orbit-parameter model are also given for comparison.


The data on the g, A and D tensors and on the fluorine hyperfine structure coupling tensors for paramagnetic ions in a ZnF 2 lattice are interpreted in terms of 3 d orbitals augmented by attached fluorine wave functions of appropriate symmetry. It is suggested that fluorine 3 s and 3 p functions are required, in addition to the 2 s and 2 p functions usually assumed, to give quantitative agreement between the fluorine h.f.s. coupling and the spin-orbit coupling reduction effects. The presence of n = 3 functions also renders the dependences on internuclear distance more easily understood. Charge transfer by π - and σ -bonding seems to be of the same order, but the s -electron contact interaction of the σ -bonding electrons gives the dominant h.f.s. interaction. Particularly complete analyses are possible for Mn 2+ and Fe 2+ . In these cases, we estimate that the magnetic electrons have a probability of about 6% of being in fluorine n = 2 orbitals, about the same of being in fluorine n = 3 orbitals, roughly 25% of being in the overlap region, leaving only about (60 ± 10)% probability of being on the central ion. The charge transfer in the case of Co 2+ is believed to be less, and perhaps more typical of the situation when the ions are in their own lattices, with proper lattice parameter. The absence of resolved fluorine h.f.s. with Cr 3+ is consistent with the absence of dγ electrons in the 3 d 3 configuration in an octahedral environment.


2021 ◽  
Vol 104 (15) ◽  
Author(s):  
Abhishek Kumar ◽  
Saurabh Maiti ◽  
Dmitrii L. Maslov

The energy dependence and absolute magnitude of the cross-section for the T + D reaction are described in terms of the exact wave-functions of the Coulomb field and a complex reaction length defined by the logarithmic derivative of the wave-function on the reaction surface. Previous difficulties in the interpretation of the experiments are largely attributed to the failure of the Wentzel-Kramers-Brillouin approximation. It is sufficient, but not necessary, to assume that the whole cross-section is due to s -waves; but in either case the presence of strong spin-orbit coupling is indicated.


2018 ◽  
Vol 98 (24) ◽  
Author(s):  
A. V. Shchepetilnikov ◽  
D. D. Frolov ◽  
Yu. A. Nefyodov ◽  
I. V. Kukushkin ◽  
L. Tiemann ◽  
...  

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