3 research outputs found
Magnetic quantum oscillations in nanowires
Analytical expressions for the magnetization and the longitudinal
conductivity of nanowires are derived in a magnetic field, B. We show that the
interplay between size and magnetic field energy-level quantizations manifests
itself through novel magnetic quantum oscillations in metallic nanowires. There
are three characteristic frequencies of de Haas-van Alphen (dHvA) and
Shubnikov-de Haas (SdH) oscillations, F=F_0,F_1, and F_2 in contrast with a
single frequency F'_0 in simple bulk metals. The amplitude of oscillations is
strongly enhanced in some "magic" magnetic fields. The wire cross-section S can
be measured along with the Fermi surface cross-section, S_F
Interplay of size and Landau quantizations in the de Haas-van Alphen oscillations of metallic nanowires
We examine the interplay between size quantization and Landau quantization in
the De Haas-Van Alphen oscillations of clean, metallic nanowires in a
longitudinal magnetic field for `hard' boundary conditions, i.e. those of an
infinite round well, as opposed to the `soft' parabolically confined boundary
conditions previously treated in Alexandrov and Kabanov (Phys. Rev. Lett. {\bf
95}, 076601 (2005) (AK)). We find that there exist {\em two} fundamental
frequencies as opposed to the one found in bulk systems and the three
frequencies found by AK with soft boundary counditions. In addition, we find
that the additional `magic resonances' of AK may be also observed in the
infinite well case, though they are now damped. We also compare the numerically
generated energy spectrum of the infinite well potential with that of our
analytic approximation, and compare calculations of the oscillatory portions of
the thermodynamic quantities for both models.Comment: Title changed, paper streamlined on suggestion of referrees, typos
corrected, numerical error in figs 2 and 3 corrected and final result
simplified -- two not three frequencies (as in the previous version) are
observed. Abstract altered accordingly. Submitted to Physical Review