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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

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

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

We calculate the de Haas-van Alphen (dHvA) effect waveform using the canonical ensemble for different Fermi surface scenarios applicable to the underdoped cuprate superconductor YBa2Cu3O6.5, in which quantum oscillations have recently been…

Strongly Correlated Electrons · Physics 2008-07-22 N. Harrison , S. E. Sebastian

The de Haas - van Alphen effect in quasi-two-dimensional metals is studied at arbitrary parameters. The oscillations of the chemical potential may substantially change the temperature dependence of harmonic amplitudes that is usually used…

Statistical Mechanics · Physics 2009-11-07 Pavel Grigoriev

We study the de Haas-van Alphen (dHvA) oscillation in two-dimensional and quasi-two-dimensional systems. We give a general formula of the dHvA oscillation in two-dimensional multi-band systems. By using this formula, the dHvA oscillation…

Materials Science · Physics 2009-11-07 Keita Kishigi , Yasumasa Hasegawa

Recent de Haas-van Alphen (dHvA) experiments on high-Tc compounds have been interpreted using Lifshitz-Kosevich (LK) theory, which ignores many-body effects. However in quasi-2d systems, interactions plus Landau level quantization give…

Strongly Correlated Electrons · Physics 2009-06-04 L. Thompson , P. C. E. Stamp

Metals composed of weakly-coupled, stacked layers possess a Fermi surface that slightly varies in size along the stacking direction. This appears in de Haas-van Alphen (dHvA) oscillations of the magnetisation with magnetic field as two…

Mesoscale and Nanoscale Physics · Physics 2021-10-29 Andrew A. Allocca , Nigel R. Cooper

A qualitatively different character of dHvA oscillations has been found in a multiband (quasi)two dimensional Fermi liquid with a fixed fermion density $n_{e}$ (canonical ensemble) compared with an open system where the chemical potential…

mtrl-th · Physics 2009-10-28 A. S. Alexandrov , A. M. Bratkovsky

Field-, temperature- and angle-dependent Fourier amplitude of de Haas-van Alphen (dHvA) oscillations are calculated for compensated two-dimensional (2D) metals with textbook Fermi surface (FS) composed of one hole and two electron orbits…

de Haas-van Alphen oscillation spectrum of two-dimensional systems is studied for general power law energy dispersion, yielding a Fermi surface area of the form $S(E)\propto E^\alpha$ for a given energy $E$. The case $\alpha=1$ stands for…

Strongly Correlated Electrons · Physics 2017-04-26 Jean-Yves Fortin , Alain Audouard

The semi-classical Lifshitz-Kosevich (LK) description of quantum oscillations is extended to a multiband two-dimensional Fermi liquid with a constant number of electrons. The amplitudes of novel oscillations with combination frequencies,…

Strongly Correlated Electrons · Physics 2009-10-31 A. S. Alexandrov , A. M. Bratkovsky

De Haas-van Alphen oscillations of the organic metal \k{appa}-(ET) 2 Cu(SCN) 2 have been measured up to 55 T at liquid helium temperatures. The Fermi surface of this charge transfer salt is a textbook example of linear chain of orbits…

Strongly Correlated Electrons · Physics 2016-06-22 Alain Audouard , Jean-Yves Fortin , David Vignolles , Vladimir N. Laukhin , Nataliya D. Kushch , Eduard B. Yagubskii

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

The field and temperature dependence of the de Haas-van Alphen oscillations spectrum is studied for an ideal two-dimensional compensated metal. It is shown that the chemical potential oscillations, involved in the frequency combinations…

Statistical Mechanics · Physics 2009-11-13 Jean-Yves Fortin , Alain Audouard

We report the angular dependence of three distinct de Haas-van Alphen (dHvA) frequencies of the torque magnetization in the itinerant antiferromagnet CrB2 at temperatures down to 0.3K and magnetic fields up to 14T. Comparison with the…

Strongly Correlated Electrons · Physics 2013-11-26 M. Brasse , L. Chioncel , J. Kunes , A. Bauer , A. Regnat , C. G. F. Blum , S. Wurmehl , C. Pfleiderer , M. A. Wilde , D. Grundler

Analytical formulae for de Haas-van Alphen (dHvA) oscillations in linear chain of coupled two-dimensional (2D) orbits (Pippard's model) are derived systematically taking into account the chemical potential oscillations in magnetic field.…

We theoretically study the de Haas-van Alphen (dHvA) oscillations in the system with changing the topology of the Fermi surface (the Lifshitz transition) by electron dopings. We employ the two-dimensional tight binding model for…

Mesoscale and Nanoscale Physics · Physics 2022-03-01 Keita Kishigi , Yasumasa Hasegawa

The de Haas-van Alphen effect (dHvA) of a 2d Fermi liquid remains poorly understood, due to the $\sim\mathcal{O}(1)$ contribution to the oscillations of grand potential from the oscillatory part of the fermionic self energy, which has no…

Strongly Correlated Electrons · Physics 2025-06-27 Yuxuan Wang

We report the magnetic and magnetotransport properties with electronic band structure calculation of the Bi square net system PrAgBi$_2$. The magnetization and heat capacity data confirm the presence of a crystalline electric field (CEF)…

Strongly Correlated Electrons · Physics 2025-02-05 Sudip Malick , Hanna Świątek , Michał J Winiarski , Tomasz Klimczuk
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