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In conducting films subjected to an out-of-plane magnetic field, electron motion along the field direction gives rise to conductance oscillations periodic in field intensity - a phenomenon known as Sondheimer oscillations. Traditionally,…

Mesoscale and Nanoscale Physics · Physics 2025-09-19 Alexander Nikolaenko , Pavel A. Nosov

Sondheimer oscillations (SO) are magnetoresistance oscillations occurring in thin films due to the commensurability between cyclotron motion and sample thickness, and are traditionally regarded as a purely semiclassical size effect. Here we…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Léo Mangeolle , Johannes Knolle

The electrical conductivity of metallic crystals exhibits size effects when the electron mean free path exceeds the sample thickness. One such phenomenon, known as Sondheimer oscillations, was discovered decades ago. These oscillations,…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Xiaodong Guo , Xiaokang Li , Lingxiao Zhao , Zengwei Zhu , Kamran Behnia

We present a theory presenting new quantum oscillations in the magnetoresistance that are revealed as fine structures superimposed to the Schubnikov-de-Haas oscillations. They may be observed in experiments on graphene layers as fine…

Mesoscale and Nanoscale Physics · Physics 2007-06-04 N. Garcia

We consider a quantum graph as a model of graphene in constant magnetic field and describe the density of states in terms of relativistic Landau levels satisfying a Bohr--Sommerfeld quantization condition. That provides semiclassical…

Mathematical Physics · Physics 2019-05-01 Simon Becker , Maciej Zworski

Determining the Fermi surface (FS) volume in underdoped cuprates is crucial for understanding the nature of the strongly correlated pseudogap phase. Conventional quantum oscillation techniques, typically used for this purpose, are…

Strongly Correlated Electrons · Physics 2026-02-13 Alexander Nikolaenko , Carsten Putzke , Philip J. W. Moll , Subir Sachdev , Pavel A. Nosov

Epitaxial graphene films have been formed on the C-face of semi-insulating 4H-SiC substrates by a high temperature sublimation process. Nano-scale square antidot arrays have been fabricated on these graphene films. At low temperatures,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Shen , Y. Q. Wu , M. A. Capano , L. R. Rokhinson , L. W. Engel , P. D. Ye

The problem of Dirac fermions in graphite subject to a perpendicular magnetic field is studied. We show analytically that the weak inter-layer interaction between the graphene sheets leads to anomalies in the Shubnikov-de Haas and de…

Materials Science · Physics 2010-03-24 L. Smrcka , N. A. Goncharuk

Quantum magnetic oscillations in crystals are typically understood in terms of Bohr-Sommerfeld quantisation, the frequency of oscillation is given by the area of a closed electron trajectory. However, since the 1970s, oscillations have been…

Mesoscale and Nanoscale Physics · Physics 2024-04-09 Z. E. Krix , O. A. Tkachenko , V. A. Tkachenko , D. Q. Wang , O. Klochan , A. R. Hamilton , O. P. Sushkov

Optical conductivity of a moderately disordered superconducting NbN film was investigated by terahertz time-domain spectroscopy in external magnetic field applied along the film plane. The film thickness of about 5 nm was comparable with…

Superconductivity · Physics 2022-01-19 M. Sindler , F. Kadlec , C. Kadlec

When magnetic field $B$ is applied to a metal, nearly all observable quantities exhibit oscillations periodic in $1/B$. Such quantum oscillations reflect the fundamental reorganization of electron states into Landau levels as a canonical…

Mesoscale and Nanoscale Physics · Physics 2017-01-18 Tianyu Liu , D. I. Pikulin , M. Franz

Quantum oscillations originating from the quantization of the electron cyclotron orbits provide ultrasensitive diagnostics of electron bands and interactions in novel materials. We report on the first direct-space nanoscale imaging of the…

The dynamic conductivity \sigma(\omega) of graphene in the presence of diagonal white noise disorder and quantizing magnetic field B is calculated. We obtain analytic expressions for \sigma(\omega) in various parametric regimes ranging from…

Mesoscale and Nanoscale Physics · Physics 2013-06-04 U. Briskot , I. A. Dmitriev , A. D. Mirlin

Quantum oscillations in magnetoconductance of a material at low temperatures and in presence of an intense magnetic field are described by the Shubnikov de Haas (SdH) effect. It is widely assumed to be the hallmark of the Fermi surface of a…

Strongly Correlated Electrons · Physics 2022-01-12 Debabrata Sinha , A. Taraphder

Periodic systems feature the Hofstadter butterfly spectrum produced by Brown--Zak minibands of electrons formed when magnetic field flux through the lattice unit cell is commensurate with flux quantum and manifested by magneto-transport…

Boundary scattering of thermal phonons in thin solid films is typically analyzed using Fuchs-Sondheimer theory, which provides a simple equation to calculate the reduction of thermal conductivity as a function of the film thickness.…

Mesoscale and Nanoscale Physics · Physics 2015-08-05 Austin J. Minnich

Quantum oscillations in graphene is discussed. The effect of interactions are addressed by Kohn's theorem regarding de Haas-van Alphen oscillations, which states that electron-electron interactions cannot affect the oscillation frequencies…

Mesoscale and Nanoscale Physics · Physics 2008-12-06 Pallab Goswami , Xun Jia , Sudip Chakravarty

We have investigated in frame of the quantum transport theory the magnetic quantum oscillations of the longitudinal magnetoresistance $\rho_{zz}$ in quasi two-dimensional metals for a magnetic field perpendicular to the layers. Giant…

Condensed Matter · Physics 2016-08-31 T. Champel , V. P. Mineev

An oscillatory magnetic field dependence of the DC voltage is observed when a low-frequency current flows through superconducting Sn-Ge thin-film composites near the percolation threshold. The paper also studies the experimental…

Superconductivity · Physics 2009-10-31 A. M. Glukhov , A. S. Pokhila , I. M. Dmitrenko , A. E. Kolinko , A. P. Panchekha

The quantum magnetic oscillations of electrical (Shubnikov de Haas effect) and thermal conductivities are studied for graphene which represents a distinctive example of planar systems with a linear, Dirac-like spectrum of quasiparticle…

Strongly Correlated Electrons · Physics 2007-05-23 V. P. Gusynin , S. G. Sharapov
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