|
Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2009, Volume 90, Issue 5, Pages 433–439
(Mi jetpl534)
|
|
|
|
This article is cited in 12 scientific papers (total in 12 papers)
CONDENSED MATTER
Spectrum of bound fermion states on vortices in $^3$He-B
M. A. Silaevab a Institute for Physics of Microstructures RAS
b Low Temperature Laboratory, Helsinki University of Technology, 02150 Espoo, Finland
Abstract:
We study subgap spectra of fermions localized within vortex cores in $^3$He-B. We develop an analytical treatment of the low-energy states and consider the characteristic properties of fermion spectra for different types of vortices. Due to the removed spin degeneracy the spectra of all singly quantized vortices consist of two different anomalous branches crossing the Fermi level. For singular $o$ and $u$ vortices the anomalous branches are similar to the standard Caroli-de Gennes-Matricon ones and intersect the Fermi level at zero angular momentum yet with different slopes corresponding to different spin states. On the contrary the spectral branches of nonsingular vortices intersect the Fermi level at finite angular momenta which leads to the appearance of a large number of zero modes, i.e. energy states at the Fermi level. Considering the $v$, $w$ and $uvw$ vortices with superfluid cores we show that the number of zero modes is proportional to the size of the vortex core.
Citation:
M. A. Silaev, “Spectrum of bound fermion states on vortices in $^3$He-B”, Pis'ma v Zh. Èksper. Teoret. Fiz., 90:5 (2009), 433–439; JETP Letters, 90:5 (2009), 391–397
Linking options:
https://www.mathnet.ru/eng/jetpl534 https://www.mathnet.ru/eng/jetpl/v90/i5/p433
|
Statistics & downloads: |
Abstract page: | 179 | Full-text PDF : | 62 | References: | 30 |
|