The Kane oscillator
نویسندگان
چکیده
منابع مشابه
The Aliquot Constant, after Bosma and Kane
Let s(n) be the sum of those positive divisors of the natural number n other than n itself. A conjecture of Catalan–Dickson is that the “aliquot” sequence of iterating s starting at any n terminates at 0 or enters a cycle. There is a “counter” conjecture of Guy–Selfridge that while Catalan–Dickson may be correct for most odd numbers n, for most even seeds, the aliquot sequence is unbounded. Len...
متن کاملBoundary-condition problem in the Kane model
The boundary conditions for a multicomponent effective wave function are obtained in the eight-band Kane model. The relations are established between boundary-condition matrix elements and the Kane Hamiltonian parameters in constitutive semiconductors. In general, these relations are incompatible with component-bycomponent continuity of the effective wave function, traditionally employed in mul...
متن کاملThe topological Anderson insulator phase in the Kane-Mele model
It has been proposed that adding disorder to a topologically trivial mercury telluride/cadmium telluride (HgTe/CdTe) quantum well can induce a transition to a topologically nontrivial state. The resulting state was termed topological Anderson insulator and was found in computer simulations of the Bernevig-Hughes-Zhang model. Here, we show that the topological Anderson insulator is a more univer...
متن کاملRashba spin orbit coupling in the Kane-Mele-Hubbard model
Spin-orbit (SO) coupling is the crucial parameter to drive topological insulating phases in electronic band models. In particular, the generic emergence of SO coupling involves the Rashba term which fully breaks the SU(2) spin symmetry. As soon as interactions are taken into account, however, many theoretical studies have to content themselves with the analysis of a simplified U(1) conserving S...
متن کاملSome geometrical properties of the oscillator group
We consider the oscillator group equipped with a biinvariant Lorentzian metric. Some geometrical properties of this space and the harmonicity properties of left-invariant vector fields on this space are determined. In some cases, all these vector fields are critical points for the energy functional restricted to vector fields. Left-invariant vector fields defining harmonic maps are...
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ژورنال
عنوان ژورنال: Physics of the Solid State
سال: 2002
ISSN: 1063-7834,1090-6460
DOI: 10.1134/1.1434499