Two-dimensional Fermi liquid with fixed chemical potential

Wosnitza, J.; Wanka, S.; Hagel, J.; Balthes, E.; Harrison, N.; Schlueter, John A.; Kini, A. M.; Geiser, U.; Mohtasham, J.; Winter, R.; Gard, Gary L.

doi:10.1103/physrevb.61.7383

Cited by 53 publications

(73 citation statements)

References 20 publications

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“…Moreover, the magnetization ocillations [12] are also consistent with negligibly small chemical potential oscillations in this compound. The reason for this is still unclear.…”

Section: Introductionsupporting

confidence: 56%

“…The relevance of the 2D limit in the conductor β ′′ −(BEDT − TTF) 2 SF 5 CH 2 CF 2 SO 3 is indicated by the sawtooth shape of the de Haas-van Alphen signal already observed for fields H ≥ 10 T [12]. Moreover, the magnetization ocillations [12] are also consistent with negligibly small chemical potential oscillations in this compound.…”

Section: Introductionsupporting

confidence: 55%

“…This unphysical result [3,4] is avoided as soon as R = 0. Assuming the value R = 5 necessary for suppressing significantly the chemical potential oscillations [12], we found [7] that the oscillations of χ(ε) are of the order of 10 % for H = 60 T, and thus neglected them in our numerical calculation [7] (i.e. we took χ(ε) ≈ χ 0 ).…”

Section: Maxima Of Magnetoresistivitymentioning

confidence: 99%

“…Since the chemical potential may be fixed in β ′′ −(BEDT − TTF) 2 SF 5 CH 2 CF 2 SO 3 by a finite reservoir formed by a quasi-1D band [12], we proposed [7] to include this reservoir in the calculations of Γ(ε) within a model of short-range impurity scattering. Using the SCBA, we obtained the self-consistent equation [7] χ(ε)…”

Section: Maxima Of Magnetoresistivitymentioning

confidence: 99%

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Giant quantum oscillations of the longitudinal magnetoresistance in quasi-two-dimensional metals

Champel

Минеев

2004

Physica B: Condensed Matter

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We have investigated in frame of the quantum transport theory the magnetic quantum oscillations of the longitudinal magnetoresistance ρzz in quasi two-dimensional metals for a magnetic field perpendicular to the layers. Giant Shubnikov-de Haas oscillations are found when the cyclotron energyhωc is much larger than the interlayer transfer integral t (the two-dimensional limit). In large magnetic fields and at low temperatures, the minima of the magnetoconductivity σzz = ρ −1 zz exhibit a thermally activated behavior in presence of negligibly small chemical potential oscillations, as observed in the organic layered conductor β ′′ −(BEDT − TTF) 2 SF5CH2CF2SO3. The questions concerning the absence of strong chemical potential oscillations in such compound and the impurity self-energy are discussed.

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“…Moreover, the magnetization ocillations [12] are also consistent with negligibly small chemical potential oscillations in this compound. The reason for this is still unclear.…”

Section: Introductionsupporting

confidence: 56%

Section: Introductionsupporting

confidence: 55%

Section: Maxima Of Magnetoresistivitymentioning

confidence: 99%

Section: Maxima Of Magnetoresistivitymentioning

confidence: 99%

See 2 more Smart Citations

Giant quantum oscillations of the longitudinal magnetoresistance in quasi-two-dimensional metals

Champel

Минеев

2004

Physica B: Condensed Matter

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“…The situation is considerably less resolved for 2D metals. Both analytical [3] as well as numerical [4] models have been developed which were proven valid somewhat later by experiments (see [5,6] and references therein). However, in these models not all aspects have been taken into account and they are not as easy to apply as the LK theory.…”

Section: Introductionmentioning

confidence: 99%

Spin-zero anomaly in the magnetic quantum oscillations of a two-dimensional metal

et al. 2008

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Fermiology and superconductivity at high magnetic fields in a completely organic cation radical salt J S Brooks, V Williams, E Choi et al. Abstract. We report on an anomalous behavior of the spin-splitting zeros in the de Haas-van Alphen (dHvA) signal of a quasi-two-dimensional organic superconductor. The zeros as well as the angular dependence of the amplitude of the second harmonic deviate remarkably from the standard Lifshitz-Kosevich (LK) prediction. In contrast, the angular dependence of the fundamental dHvA amplitude as well as the spin-splitting zeros of the Shubnikov-de Haas (SdH) signal follow the LK theory. We can explain this behavior of the dHvA signal by small chemical-potential (CP) oscillations and find a very good agreement between theory and experiment. A detailed wave-shape analysis 7 Present address: Royal Holloway, University of London, Egham, Surrey TW20 0EX, UK. 8 Author to whom any correspondence should be addressed. of the dHvA oscillations corroborates the existence of an oscillating CP. We discuss the absence of the above spin-zero effect in the SdH signal and argue that in β -(BEDT-TTF) 2 SF 5 CH 2 CF 2 SO 3 it can be explained by an incoherent variable range hopping interlayer transport which is insensitive to the small CP oscillations. Contents

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Spin–orbit interaction in the magnetization of two‐dimensional electron systems

Wilde

Rupprecht

Herzog

et al. 2014

Physica Status Solidi (b)

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This is an open access article under the terms of the Creative Commons Attribution License, which permits use, distribution and reproduction in any medium, provided the original work is properly cited.We review recent experimental and theoretical work on the quantum oscillations of the magnetization M, i.e., the de Haasvan Alphen (dHvA) effect, in two-dimensional electron systems (2DESs) with spin-orbit interaction (SOI). We focus first on a theoretical modeling by numerically solving the Hamiltonian including the Rashba (R) and Dresselhaus (D) SOI and the Zeeman term in an arbitrarily tilted magnetic field B. We second present experimental data on the SOI-modified quantum oscillations of M(B) in 2DESs formed in the InGaAs/InP and AlGaAs/GaAs material systems for different tilt angles between the 2DES normal and the direction of B. We find pronounced beating patterns in InGaAs/InP that are described quantitatively by assuming a dominant R-SOI except for a distinct frequency anomaly in M present in nearly perpendicular B. In AlGaAs/GaAs, beating patterns occur at large tilt angles. Here, anomalies in the dHvA wave form occur. The findings demonstrate that the understanding of the ground state energy of a 2DES is incomplete when SOI is present. Finally, we predict that the amplitude and anisotropy of specific dHvA oscillations with respect to the in-plane magnetic field component allow one to quantify the magnitude and relative signs of both R-SOI and D-SOI when simultaneously present.Calculated fan chart of Landau levels and oscillatory Fermi energy E F in a 2DES subject to SOI. The beating patterns in E F contain information on the SOI. They manifest itself in a variety of experimentally accessible observables. In this feature article, we focus on the magnetization M as a thermodynamic state variable. The inset sketches a micromechanical cantilever magnetometer used to measure M using the torque τ = M × B.

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Two-dimensional Fermi liquid with fixed chemical potential

Cited by 53 publications

References 20 publications

Giant quantum oscillations of the longitudinal magnetoresistance in quasi-two-dimensional metals

Giant quantum oscillations of the longitudinal magnetoresistance in quasi-two-dimensional metals

Spin-zero anomaly in the magnetic quantum oscillations of a two-dimensional metal

Spin–orbit interaction in the magnetization of two‐dimensional electron systems

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