Magnetoelectric effect induced by electron–electron interaction in three dimensional topological insulators

2013 ◽  
Vol 377 (25-27) ◽  
pp. 1631-1636 ◽  
Author(s):  
D. Schmeltzer ◽  
Avadh Saxena
2011 ◽  
Author(s):  
Hridis K. Pal ◽  
Vladimir I. Yudson ◽  
Dmitrii L. Maslov ◽  
Giti A. Khodaparast ◽  
Michael B. Santos ◽  
...  

1996 ◽  
Vol 10 (28) ◽  
pp. 1397-1406 ◽  
Author(s):  
AXEL VÖLKER ◽  
PETER KOPIETZ

We use the Lanczos method to calculate the variance σ2(E, ϕ) of the number of energy levels in an energy window of width E below the Fermi energy for noninteracting disordered electrons on a thin three-dimensional ring threaded by an Aharonov–Bohm flux ϕ. We confirm numerically that for small E the flux-dependent part of σ2(E, ϕ) is well described by the Altshuler–Shklovskii-diagram involving two Cooperons. However, in the absence of electron–electron interactions this result cannot be extrapolated to energies E where the energy-dependence of the average density of states becomes significant. We discuss consequences for persistent currents and argue that for the calculation of the difference between the canonical- and grand canonical current it is crucial to take the electron–electron interaction into account.


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