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The semiclassical Lifshitz-Kosevich-type description is given for the angular dependence of quantum oscillations with combination frequencies in a multiband quasi-two-dimensional Fermi liquid with a constant number of electrons. The…

Strongly Correlated Electrons · Physics 2009-11-07 A. M. Bratkovsky , A. S. Alexandrov

Quantum magneto-oscillations provide a powerfull tool for quantifying Fermi-liquid parameters of metals. In particular, the quasiparticle effective mass and spin susceptibility are extracted from the experiment using the Lifshitz-Kosevich…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. W. Martin , D. L. Maslov , M. Yu. Reizer

Quantum oscillation phenomena, in conventional 2-dimensional electron systems and in the fractional quantum Hall effect, are usually treated in the Lifshitz-Kosevich formalism. This is justified in three dimensions by Luttinger's expansion,…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 S. Curnoe , P. C. E. Stamp

We characterize quantum oscillations in the magnetic susceptibility of a quantum critical non-Fermi liquid. The computation is performed in a strongly interacting regime using the nonperturbative holographic correspondence. The temperature…

Strongly Correlated Electrons · Physics 2013-05-29 Sean A. Hartnoll , Diego M. Hofman

Exact analytical results of the de Haas-van Alphen (dHvA) effect in an idealized two-band Fermi liquid with parabolic dispersion are presented. We consider a Fermi surface consisting in two electron bands with different band edges and band…

Statistical Mechanics · Physics 2009-11-10 Jean-Yves Fortin , Emmanuel Perez , Alain Audouard

de Haas-van Alphen oscillation spectrum is studied for an idealized two-dimensional Fermi liquid with two parabolic bands in the case of canonical (fixed number of quasiparticles) and grand canonical (fixed chemical potential) ensembles. As…

Statistical Mechanics · Physics 2009-11-10 J. -Y. Fortin , E. Perez , A. Audouard

The field- and temperature-dependent de Haas-van Alphen oscillations spectrum is studied for an ideal two-dimensional compensated metal whose Fermi surface is made of a linear chain of successive orbits with electron and hole character,…

Strongly Correlated Electrons · Physics 2015-05-13 Jean-Yves Fortin , Alain Audouard

Chemical potential oscillations mix individual-band frequencies of the de Haas-van Alphen (dHvA) and Shubnikov-de Haas (SdH) magneto-oscillations in canonical low-dimensional multi-band Fermi liquids. We predict a similar mixing in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. S. Alexandrov , V. V. Kabanov

Quantum oscillations (QO) are a well-established probe of Fermi-surface (FS) geometry and in the presence of long-range density wave order can display new QO frequencies from reconstructed FS pockets. We show that such reconstructed…

Strongly Correlated Electrons · Physics 2026-03-26 Léo Mangeolle , Johannes Knolle

De Haas-van Alphen oscillations are studied for Fermi surfaces (FS) illustrating the model proposed by Pippard in the early sixties, namely the linear chain of orbits coupled by magnetic breakdown. This FS topology is relevant for many…

Strongly Correlated Electrons · Physics 2015-06-17 Alain Audouard , Jean-Yves Fortin

We apply a small magnetic field to strongly interacting matter with a gravity dual description as an electron star. These systems are both metallic and quantum critical at low energies. The resulting quantum oscillations are shown to be of…

High Energy Physics - Theory · Physics 2015-03-17 Sean A. Hartnoll , Diego M. Hofman , Alireza Tavanfar

The electronic specific heat of Kondo insulators in magnetic field is studied for the half-filled Kondo lattice model on simple cubic lattice using a low-temperature theory in Kumar representation. The calculated specific heat is found to…

Strongly Correlated Electrons · Physics 2025-02-07 Arnav Pushkar , Brijesh Kumar

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

Quantum oscillations (QO) describe the periodic variation of physical observables as a function of inverse magnetic field in metals. The Onsager relation connects the basic QO frequencies with the extremal areas of closed Fermi surface…

Strongly Correlated Electrons · Physics 2024-05-28 Valentin Leeb , Johannes Knolle

Quantum oscillations (QO) in metals refer to the periodic variation of thermodynamic and transport properties as a function of inverse applied magnetic field. QO frequencies are normally associated with semi-classical trajectories of Fermi…

Strongly Correlated Electrons · Physics 2025-04-22 Léo Mangeolle , Johannes Knolle

It is generally believed that quantum oscillations are a hallmark of a Fermi surface and the oscillations constitute the ringing of it. Recently, it was understood that in order to have well defined quantum oscillations you do not only not…

Mesoscale and Nanoscale Physics · Physics 2018-03-21 Simonas Grubinskas , Lars Fritz

We investigate metamagnetic transitions in models for heavy fermions by considering the doped Kondo lattice model in two dimensions. Results are obtained within the framework of dynamical mean field and dynamical cluster approximations.…

Strongly Correlated Electrons · Physics 2012-08-08 M. Bercx , F. F. Assaad

According to band structure calculations, the Fermi surface of the quasi-two dimensional metal $\theta$-(ET) 4 ZnBr 4 (C 6 H 4 Cl 2) illustrates the linear chain of coupled orbits model. Accordingly, de Haas-van Alphen oscillations spectra…

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

Single-particle spectrum of the Kondo lattice model is derived with use of the continuous-time quantum Monte Carlo method, combined with the dynamical mean-field theory. Crossover behavior is traced quantitatively either to a heavy…

Strongly Correlated Electrons · Physics 2009-01-06 Junya Otsuki , Hiroaki Kusunose , Yoshio Kuramoto
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