The de Haas-van Alphen effect in canonical and grand canonical multiband Fermi liquid
Abstract
A qualitatively different character of dHvA oscillations has been found in a multiband (quasi)two dimensional Fermi liquid with a fixed fermion density
n
e
(canonical ensemble) compared with an open system where the chemical potential
μ
is kept fixed (grand canonical ensemble). A new fundamental period
P
f
appears when
n
e
is fixed, a damping of the Landau levels is relatively small and a background density of states is negligible.
P
f
is determined by the total density rather than by the partial densities of carriers in different bands:
P
f
=1/(2
n
e
ϕ)
for spin-split Landau levels and
P
f
=1/(
n
e
ϕ)
in the case of spin degenerate levels where
ϕ
is the flux quantum.