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We give a basic explanation for the oscillating properties of some physical quantities of a two-electron quantum dot in the presence of a static magnetic field. This behaviour was discussed in a previous work of ours [AM Maniero, {\it et…

Strongly Correlated Electrons · Physics 2021-07-07 Angelo M. Maniero , Carlos R. de Carvalho , Frederico V. Prudente , Ginette Jalbert

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

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

We show that the new quantum oscillations of the magnetization can occur when the Fermi surface consists of points (massless Dirac points) or even when the chemical potential is in a energy gap by studying the tight-binding electrons on a…

Materials Science · Physics 2014-08-28 Keita Kishigi , Yasumasa Hasegawa

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 Kondo lattice model of spin-1/2 local moments coupled to the conduction electrons at half-filling is studied for its orbital response to magnetic field on bipartite lattices. Through an effective charge dynamics, in a canonical…

Strongly Correlated Electrons · Physics 2017-08-17 Panch Ram , Brijesh Kumar

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

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…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. S. Alexandrov , V. V. Kabanov

The low-field quantum Hall effect is investigated on a two-dimensional electron system in an AlGaAs/GaAs heterostructure. Magneto-oscillations following the semiclassical Shubnikov-de Haas formula are observed even when the emergence of the…

Disordered Systems and Neural Networks · Physics 2015-05-13 D. R. Hang , C. F. Huang , K. A. Cheng

The canonical understanding of quantum oscillation in metals is challenged by the observation of de Haas-van Alphen effect in an insulator, SmB$_{6}$ [Tan \emph{et al}, Science {\bf349}, 287 (2015)]. Based on a two-band model with inverted…

Strongly Correlated Electrons · Physics 2016-02-02 Long Zhang , Xue-Yang Song , Fa Wang

Materials with the mesoscopic scales have provided an excellent platform for quantum-mechanical studies. Among them, the periodic oscillations of the electrical resistivity against the direct and the inverse of the magnetic fields, such as…

Mesoscale and Nanoscale Physics · Physics 2023-07-31 Toshihiro Taen , Andhika Kiswandhi , Toshihito Osada

We report on quantum magneto-oscillations in an ultra-high mobility GaAs/AlGaAs quantum well at very high tilt angles. Unlike previous studies, we find that the spin and cyclotron splittings become equal over a continuous range of angles,…

Mesoscale and Nanoscale Physics · Physics 2012-08-24 A. T. Hatke , M. A. Zudov , L. N. Pfeiffer , K. W. West

Oscillations of dissipative resistance of two-dimensional electrons in GaAs quantum wells are observed in response to an electric current I and a strong magnetic field applied perpendicular to the two-dimensional systems. Period of the…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Scott Dietrich , Sean Byrnes , Sergey Vitkalov , D. V. Dmitriev , A. A. Bykov

We develop a theory of quantum oscillations in insulators with an emergent fermi sea of neutral fermions minimally coupled to an emergent $U(1)$ gauge field. As pointed out by Motrunich (Phys. Rev. B 73, 155115 (2006)), in the presence of a…

Strongly Correlated Electrons · Physics 2018-02-07 Inti Sodemann , Debanjan Chowdhury , T. Senthil

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

The frequencies of Shubnikov-de Haas oscillations have long been used to measure the unequal population of spin-split two-dimensional subbands in inversion asymmetric systems. We report self-consistent numerical calculations and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. Winkler , S. J. Papadakis , E. P. De Poortere , M. Shayegan

The "one-dimensional" coherent states are applied to describe the Shubnikov - de Haas and the de Haas-van Alphen oscillation effects in metals, semimetals, and degenerate semiconductors. The oscillatory part of the electron density of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. A. Contreras-Solorio , J. A. de la Cruz-Alcaz , S. T. Pavlov

The de Haas-van Alphen effect (dHvAe), describing oscillations of the magnetization as a function of magnetic field, is commonly assumed to be a definite sign for the presence of a Fermi surface (FS). Indeed, the effect forms the basis of a…

Strongly Correlated Electrons · Physics 2015-10-05 Johannes Knolle , Nigel R. Cooper

An analytical form of the quantum magnetization oscillations (de Haas-van Alphen effect) is derived for two- and quasi two-dimensional metals in normal and superconducting mixed states. The theory is developed under condition that the…

Statistical Mechanics · Physics 2017-02-08 T. Champel , V. P. Mineev

Quantum oscillations of nonlinear resistance are investigated in response to electric current and magnetic field applied perpendicular to single GaAs quantum wells with two populated subbands. At small magnetic fields current-induced…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Scott Dietrich , Sean Byrnes , Sergey Vitkalov , A. V. Goran , A. A. Bykov
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