TY - JOUR

T1 - Fractional Magnetic Breakdown Frequencies in Semiconductor Lattices with One-Dimensional Modulation

AU - Tkachenko, O. A.

AU - Tkachenko, V. A.

AU - Baksheev, D. G.

AU - Krix, Z. E.

AU - Sushkov, O. P.

N1 - O.A. Tkachenko, V.A. Tkachenko, and D.G. Baksheev acknowledge the support of the Russian Science Foundation, project no. 19-72-30023. Z.E. Krix and O.P. Sushkov acknowledge the support of the Australian Research Council Centre of Excellence in Future Low-Energy Electronics Technology, grant no. CE170100039.

PY - 2025/5/6

Y1 - 2025/5/6

N2 - Four-terminal devices with semiconductor lattices based on a two-dimensional electron gas have been simulated within single-particle quantum mechanics at different Fermi energies and amplitudes of one-dimensional modulation of the electrostatic potential in the presence or absence of disorder. The four-terminal resistances have been determined by the transmission coefficients in the Landauer–Buttiker formalism. The Fourier analysis of the density of states or the resistance Rxx as a function of the inverse magnetic field 1/B gives the frequencies of magnetic oscillations caused by the magnetic breakdown. It has been shown that the frequencies of commensurability oscillations observed in the experiments are absent in the Fourier transform of the density of states but are present for the resistance Rxx(1/B). With an increase in the modulation amplitude, oscillations with fractional combinations of the magnetic breakdown frequencies appear in the resistance, but they are absent in the density of states.

AB - Four-terminal devices with semiconductor lattices based on a two-dimensional electron gas have been simulated within single-particle quantum mechanics at different Fermi energies and amplitudes of one-dimensional modulation of the electrostatic potential in the presence or absence of disorder. The four-terminal resistances have been determined by the transmission coefficients in the Landauer–Buttiker formalism. The Fourier analysis of the density of states or the resistance Rxx as a function of the inverse magnetic field 1/B gives the frequencies of magnetic oscillations caused by the magnetic breakdown. It has been shown that the frequencies of commensurability oscillations observed in the experiments are absent in the Fourier transform of the density of states but are present for the resistance Rxx(1/B). With an increase in the modulation amplitude, oscillations with fractional combinations of the magnetic breakdown frequencies appear in the resistance, but they are absent in the density of states.

UR - https://www.mendeley.com/catalogue/c04c520d-d6c3-3f8e-822e-b18f3cb96599/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-105004461823&origin=inward&txGid=9e90d03d502a99088bccf16ddba6c8b0

U2 - 10.1134/S0021364024604640

DO - 10.1134/S0021364024604640

M3 - Article

VL - 121

SP - 474

EP - 480

JO - JETP Letters

JF - JETP Letters

SN - 0021-3640

IS - 6

ER -