Magnetic moment jumps in flat and nanopatterned Nb thin-walled cylinders

Magnetic response of a quantum wire of elliptical cross-section in a magnetic field perpendicular to the axis of the wire

“…The jumps of the magnetic moment for the wire in the form of a thin-walled cylinder were found in [16]. We note that theoretical studies of the magnetic moment of the wire in a magnetic field transverse to the axis are not known to us.…”

“…Replacing in (16) (ε − µ)/T = ξ , where µ is the chemical potential of the electronic gas and replacing the value −µ/T on −∞ , we obtain from (16) and (18) the expression for Ω = Ω mon + Ω osc , where:…”

“…We note that in this limit, the oscillating part Ω osc consists of rapidly oscillating terms of the series (20) and their contribution to Ω tends to zero. To evaluate Ω mon , we use (16). Then, as shown in [25] at low temperatures, the expression is given by:…”