Zur Theorie des Diamagnetismus von Leitungselektronen

Peierls, Rudolf

doi:10.1007/bf01342591

Cited by 1,364 publications

(897 citation statements)

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“…(Hereafter we take the unit of = k B = 1.) When we apply this approximation to the orbital susceptibility, we obtain the Landau-Peierls formula: 3,53,93) …”

Section: Diamagnetismmentioning

confidence: 99%

Transport Properties and Diamagnetism of Dirac Electrons in Bismuth

2015

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Bismuth crystal is known for its remarkable properties resulting from particular electronic states, e. g., the Shubnikovde Haas effect and the de Haas-van Alphen effect. Above all, the large diamagnetism of bismuth had been a long-standing puzzle soon after the establishment of quantum mechanics, which had been resolved eventually in 1970 based on the effective Hamiltonian derived by Wolff as due to the interband effects of a magnetic field in the presence of a large spin-orbit interaction. This Hamiltonian is essentially the same as the Dirac Hamiltonian, but with spatial anisotropy and an effective velocity much smaller than the light velocity. This paper reviews recent progress in the theoretical understanding of transport and optical properties, such as the weak-field Hall effect together with the spin Hall effect, and ac conductivity, of a system described by the Wolff Hamiltonian and its isotropic version with a special interest of exploring possible relationship with orbital magnetism. It is shown that there exist a fundamental relationship between spin Hall conductivity and orbital susceptibility in the insulating state on one hand, and the possibility of fully spinpolarized electric current in magneto-optics. Experimental tests of these interesting features have been proposed.

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“…(Hereafter we take the unit of = k B = 1.) When we apply this approximation to the orbital susceptibility, we obtain the Landau-Peierls formula: 3,53,93) …”

Section: Diamagnetismmentioning

confidence: 99%

Transport Properties and Diamagnetism of Dirac Electrons in Bismuth

2015

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“…The model emerged from the pioneering hypothesis 5 of physicist Rudolf Peierls, who in 1933 suggested that the magnetic field induces a change in the phase of a particle -a property only indirectly detectable in quantum systems -as it travels through the lattice.…”

Section: I N D S Ay J L E B L a N Cmentioning

confidence: 99%

“…Compared with healthy individuals, people who have an impaired type I interferon response can be prone to infections, whereas individuals who have an overactive response might have autoimmune disease or organ damage associated with inflammation 3,4 . Abnormal activation of the type I interferon response is observed in most people with lupus, and a clinical study 5 found that interferon-related gene expression correlates with specific disease features.…”

Section: S a R A H M C G L A S S O N And Dav I D H U N Tmentioning

confidence: 99%

Interactions propel a magnetic dance

LeBlanc

2017

Nature

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“…Harper's paper mentioned previously, there are several other early classic papers on listed in the references. [8] In 1976, R. Hofstadter's performed a numerical analysis of the problem and pointed out the beautiful self-similar structure of the energy spectrum.…”

Section: Connection To Harper's Equationmentioning

confidence: 99%