Details
| Original language | English |
|---|---|
| Pages (from-to) | 111-127 |
| Number of pages | 17 |
| Journal | Mathematische Nachrichten |
| Volume | 233-234 |
| Publication status | Published - 24 Jul 2002 |
| Externally published | Yes |
Abstract
Fermi surfaces are basic objects in solid state physics and in the spectral theory of periodic operators. We define several measures connected to Fermi surfaces and study their measure theoretic properties. From this we get absence of singular continuous spectrum and of singular continuous components in the density of states for symmetric periodic elliptic differential operators acting on vector bundles. This includes Schrödinger operators with periodic magnetic field and rational flux, as well as the corresponding Pauli and Dirac-type operators.
Keywords
- Fermi surface, Periodic magnetic field, Schrödinger operator, Spectrum
ASJC Scopus subject areas
- Mathematics(all)
- General Mathematics
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In: Mathematische Nachrichten, Vol. 233-234, 24.07.2002, p. 111-127.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Measures of Fermi surfaces and absence of singular continuous spectrum for magnetic Schrödinger operators
AU - Gruber, Michael J.
PY - 2002/7/24
Y1 - 2002/7/24
N2 - Fermi surfaces are basic objects in solid state physics and in the spectral theory of periodic operators. We define several measures connected to Fermi surfaces and study their measure theoretic properties. From this we get absence of singular continuous spectrum and of singular continuous components in the density of states for symmetric periodic elliptic differential operators acting on vector bundles. This includes Schrödinger operators with periodic magnetic field and rational flux, as well as the corresponding Pauli and Dirac-type operators.
AB - Fermi surfaces are basic objects in solid state physics and in the spectral theory of periodic operators. We define several measures connected to Fermi surfaces and study their measure theoretic properties. From this we get absence of singular continuous spectrum and of singular continuous components in the density of states for symmetric periodic elliptic differential operators acting on vector bundles. This includes Schrödinger operators with periodic magnetic field and rational flux, as well as the corresponding Pauli and Dirac-type operators.
KW - Fermi surface
KW - Periodic magnetic field
KW - Schrödinger operator
KW - Spectrum
UR - http://www.scopus.com/inward/record.url?scp=0036063507&partnerID=8YFLogxK
U2 - 10.1002/1522-2616(200201)233:1<111::AID-MANA111>3.0.CO;2-U
DO - 10.1002/1522-2616(200201)233:1<111::AID-MANA111>3.0.CO;2-U
M3 - Article
AN - SCOPUS:0036063507
VL - 233-234
SP - 111
EP - 127
JO - Mathematische Nachrichten
JF - Mathematische Nachrichten
SN - 0025-584X
ER -