Regensburg 2025 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 31: Topology: Quantum Hall Systems

TT 31.4: Talk

Wednesday, March 19, 2025, 16:00–16:15, H31

Orbital Magnetization of Dirac Electrons on Curved Surfaces — •Maximilian Fürst — Universität Regensburg

Orbital magnetic response of 2D, (almost) free electrons has extensively been studied in the past, starting from the discovery of Landau levels of Schrödinger [1]/(massless) Dirac [2] electrons with a linear/squareroot dispersion in the field strength B. Apart from Landau diamagnetism, this leads to De-Haas-van-Alphen type oscillations of the susceptibility, that are periodic in 1/B [3]. Confining (massless) Dirac electrons on a curved surface predominantly leads to unusual oscillations of the susceptibility with periodicity in B. We discuss three example surfaces (Sphere, Cone, Pseudosphere) in a coaxial magnetic field.

[1] L. Landau, Z. Phys. A 64, 629 (1930).

[2] J. W. McClure, Phys. Rev. 104, 666 (1956).

[3] L. Heße, K. Richter, Phys. Rev. B 90, 205424 (2014).

Keywords: Dirac electrons; Landau levels; Magnetic susceptibility oscillations