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The de Haas - van Alphen effect in two-dimensional (2D) metals is investigated at different conditions and with different shapes of Landau levels (LLs). The analytical calculations can be done when many LLs are occupied. We consider the…

Statistical Mechanics · Physics 2007-05-23 P. D. Grigoriev , I. D. Vagner

A quantum statistical theory is developed for the de Haas-van Alphen (dHvA) oscillation in the magnetization for a 2D system of quasifree electrons. The oscillatory density of states associated with the Landau levels gives rise to the dHvA…

Other Condensed Matter · Physics 2007-05-23 S. Fujita , H. C. Ho

We explored the interplay between magnetic field and rotation in the de Hass - van Alphen oscillation. The effect is found to be reduced because of the re-weighting of different states within the same Landau level by rotation energy. The…

High Energy Physics - Phenomenology · Physics 2023-05-03 Shu-Yun Yang , Ren-Da Dong , Defu Hou , Hai-Cang Ren

The spectrum of charged particles in translation-invariant systems in a magnetic field is characterized by the Landau levels, which play a fundamental role in the thermodynamic and transport properties of solids. The topological nature and…

Mesoscale and Nanoscale Physics · Physics 2023-10-02 Isac Sahlberg , Moein N. Ivaki , Kim Pöyhönen , Teemu Ojanen

Up to almost the last two decades all the experimental results concerning the quantum Hall effect (QHE), i.e., the observation of plateaux at integer (IQHE) or fractional (FQHE) values of the constant h/e2, were related to quantum-wells in…

Mesoscale and Nanoscale Physics · Physics 2020-05-26 M. A. Hidalgo

This note revisits the semi-classical theory of quantum oscillations in hybridization-gap insulators, and shows that the physical origin of the oscillations, at $T=0$ K, is a sudden change in the diamagnetic moment of each Landau level as…

Strongly Correlated Electrons · Physics 2023-08-16 S. R. Julian

We show that the de Haas van Alphen effect can be induced in a two dimensional atomic gas by the He-McKellar-Wilkens interaction mediated via an electric dipole moment. Under an appropriate field-dipole configuration, we show that the…

Quantum Gases · Physics 2017-08-02 Bruno Farias , Claudio Furtado

Magneto-transport measurements are performed on the two-dimensional electron system (2DES) in an AlGaAs/GaAs heterostructure. By increasing the magnetic field perpendicular to the 2DES, magnetoresistivity oscillations due to Landau…

Mesoscale and Nanoscale Physics · Physics 2008-07-02 Kuang Yao Chen , Y. H. Chang , C. -T. Liang , N. Aoki , Y. Ochiai , C. F. Huang , Li-Hung Lin , K. A. Cheng , H. H. Cheng , H. H. Lin , Jau-Yang Wu , Sheng-Di Lin

We have explored Pauli paramagnetism, Landau diamagnetism and de Haas-van Alphen effect in a single framework, and unified these three effects for all temperatures as well as for all strengths of magnetic field. Our result goes beyond…

Statistical Mechanics · Physics 2013-05-10 Shyamal Biswas , Swati Sen , Debnarayan Jana

Field-theoretical methods have been shown to be useful in constructing simple effective theories for two-dimensional (2D) systems. These effective theories are usually studied by perturbing around a mean-field approximation, so the question…

Condensed Matter · Physics 2009-10-28 O. Heinonen , M. D. Johnson

The de Haas-van Alphen effect (dHvAe) describes the periodic oscillation of the magnetisation in a material as a function of inverse applied magnetic field. It forms the basis of a well established procedure for measuring Fermi surface…

Mesoscale and Nanoscale Physics · Physics 2017-05-03 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

We report on theoretical and experimental investigations of the integer quantized Hall effect in narrow channels at various mobilities. The Hall bars are defined electrostatically in two-dimensional electron systems by biasing metal gates…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Horas , A. Siddiki , J. Moser , W. Wegscheider , S. Ludwig

We show how the orbital magnetization of an interacting disordered diffusive electron gas can be simply related to the magnetization of the non-interacting system having the same geometry. This result is applied to the persistent current of…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Gilles Montambaux

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

The temperature and scale dependence of resistivities in the standard scaling theory of the integer quantum Hall effect is discussed. It is shown that recent experiments, claiming to observe a discrepancy with the global phase diagram of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Bodo Huckestein

We discuss quantum Hall effect in the presence of arbitrary pair interactions between electrons. It is shown that irrespective of the interaction strength the Hall conductivity is given by the filling fraction of Landau levels averaged over…

Mesoscale and Nanoscale Physics · Physics 2020-01-20 Xi Wu , M. A. Zubkov

The effect of inter-Landau-band mixing on electron localization in an integer quantum Hall system is studied. We find that mixing of localized states with {\it opposite chirality} tends to delocalize the states. This delocalization effect…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gang Xiong , Shi-Dong Wang , Qian Niu , Yupeng Wang , X. C. Xie , De-Cheng Tian , X. R. Wang

The effects of magnetic flux in statistical magnetisms, including Pauli paramagnetism, Landau diamagnetism, and De Hass-van Alphen oscillation, are discussed. It is shown that the diamagnetism could be much increased by the fractional…

Statistical Mechanics · Physics 2007-07-16 De-Hone Lin

The quantum Hall effect is usually observed when the two-dimensional electron gas is subjected to an external magnetic field, so that their quantum states form Landau levels. In this work we predict that a new phenomenon, the quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chao-Xing Liu , Xiao-Liang Qi , Xi Dai , Zhong Fang , Shou-Cheng Zhang
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