The de Haas-van Alphen effect in canonical and grand canonical multiband Fermi liquid

Abstract

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 $\mu$ is kept fixed (grand canonical ensemble). A new fundamental period $P_f$ appears when $n_e$ is fixed, a damping of the Landau levels is relatively small and a background density of states is negligible. $P_f$ is determined by the total density rather than by the partial densities of carriers in different bands: $P_f=1/(2n_e\varphi )$ for spin-split Landau levels and $P_f=1/(n_e\varphi )$ in the case of spin degenerate levels where $\varphi$ is the flux quantum.

9 pp

Cited by in corpus (34)

• Phase analysis of quantum oscillations in graphite
• Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations
• Towards resolution of the Fermi surface in underdoped high-Tc superconductors
• Quantum Oscillations in Hole-Doped Cuprates
• Normal-state nodal electronic structure in underdoped high-Tc copper oxides
• de Haas-van Alphen Effect in the Two-Dimensional and the Quasi-Two-Dimensional Systems
• Spin-orbit splitting and effective masses in p-type GaAs two-dimensional hole gases
• Semi-classical theory of magnetic quantum oscillations in a two-dimensional multiband canonical Fermi liquid
• Magnetic quantum oscillations in nanowires
• New Fundamental dHvA Frequency in Canonical Low-Dimensional Fermi Liquids
• Weakly incoherent magnetotransport in layered metals
• Analytical treatment of the dHvA frequency combinations due to chemical potential oscillations in an idealized two-band Fermi liquid
• Composite Operator Method analysis of the underdoped cuprates puzzle
• Magnetization of a two-dimensional electron gas with a second filled subband
• de Haas-van Alphen spectroscopy and fractional quantization of magnetic-breakdown orbits in moiré graphene
• Crystal structure, Fermi surface calculations and Shubnikov-de Haas oscillations spectrum of the organic metal $\theta$-(BETS)${}_4$HgBr${}_4$(C${}_6$H${}_5$Cl) at low temperature
• Monotonic growth of interlayer magnetoresistance in strong magnetic field in very anisotropic layered metals
• Three-quarter Dirac points, Landau levels and magnetization in $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Low-frequency Quantum Oscillations from Interactions in Layered Metals
• Pressure dependence of the Shubnikov-de Haas oscillation pectrum of beta''-(BEDT-TTF)4(NH4)[Cr(C2O4)3].DMF
• The Shubnikov-de Haas effect in multiband quasi-two dimensional metals
• Random walks and magnetic oscillations in compensated metals
• Damping of field-induced chemical potential oscillations in ideal two-band compensated metals
• Hard antinodal gap revealed by quantum oscillations in the pseudogap regime of underdoped high-$T_{\mathrm{c}}$ superconductors
• Angular dependence of novel magnetic quantum oscillations in a quasi-two-dimensional multiband Fermi liquid with impurities
• Organic conductors in high magnetic fields: model systems for quantum oscillations physics
• Shubnikov-de Haas oscillations spectrum of the strongly correlated quasi-2D organic metal (ET)8[Hg4Cl12(C6H5Br)]2 under pressure
• Frequency combinations in the magnetoresistance oscillations spectrum of a linear chain of coupled orbits with a high scattering rate
• Combination quantum oscillations in canonical single-band Fermi liquids
• Enhancement of de Haas-van Alphen Oscillation due to Spin in the Magnetic Breakdown System
• De Haas-van Alphen oscillations near the Lifshitz transition from two electron pockets to one electron pocket in the two-dimensional Dirac fermion systems
• Reply to "Comment on 'Origin of combination frequencies in quantum magnetic oscillations of two-dimensional multiband metals' " by A.S. Alexandrov and A.M. Bratkovsky [cond-mat/0207173]
• Magnetic oscillations and frequency mixing in a two-band conductor
• Enhancements of the 3/2 and 5/2 frequencies of de Haas-van Alphen oscillations near the Lifshitz transition in the two-dimensional compensated metal with overtilted Dirac cones