Quantum magneto-oscillations in a two-dimensional Fermi liquid

Martin, Greg; Maslov, Dmitrii L.; Reizer, Michael

doi:10.1103/physrevb.68.241309

Cited by 55 publications

(69 citation statements)

References 26 publications

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“…Due to this cancelation, the exponential factor in A 1 does not contain terms of order T 2 ln T . A more detailed analysis [57], shows that T 2 terms are also absent, i.e., both quadratic terms and quadratic-times-log terms in the self-energy (and thus the linear-in-T effective mass [Eq. (3.40) ]) are not observable in a magneto-oscillation experiments.…”

Section: F Amplitude Of Quantum Magneto-oscillationsmentioning

confidence: 99%

“…(3.45) is then only applicable as long as oscillations of the thermodynamic potential are exponentially small due to either finite temperature and/or disorder. In this paper we disregard effects of disorder (considered recently in [57]), thus the amplitude is only controlled by the finite temperature. In this case, the restriction of the small amplitude in its turn implies that the sum over Matsubara frequencies in (3.45) can be truncated to only the n = 0 term.…”

Section: F Amplitude Of Quantum Magneto-oscillationsmentioning

confidence: 99%

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Nonanalytic corrections to the Fermi-liquid behavior

2003

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The issue of non-analytic corrections to the Fermi-liquid behavior is revisited. Previous studies have indicated that the corrections to the Fermi-liquid forms of the specific heat and the static spin susceptibility scale as T D and T D−1 , respectively (with extra logarithms for D = 1, 3). In addition, the non-uniform spin susceptibility is expected to depend on the bosonic momentum Q in a non-analytic way, i.e., as Q D−1 (again with extra logarithms for D = 1, 3). It is shown that these non-analytic corrections originate from the universal singularities in the dynamical bosonic response functions of a generic Fermi liquid. In contrast to the leading, Fermi-liquid forms which depend on the interaction averaged over the Fermi surface, the non-analytic corrections are parameterized by only two coupling constants, which are the components of the interaction potential at momentum transfers q = 0 and q = 2kF . For 3D systems, a recent result of Belitz, Kirkpatrick and Vojta for the spin susceptibility is reproduced and the issue why a non-analytic momentum dependence of the non-uniform spin susceptibility (Q 2 ln |Q|) is not paralleled by a non-analyticity in the T − dependence (T 2 ) is clarified. For the case of a 2D system with a finite-range interaction, explicit forms of the corrections to the specific heat (∝ T 2 ), uniform (∝ T ) and non-uniform (∝ |Q|) spin susceptibilities are obtained. It is shown that previous calculations of the temperature dependences of these quantities in 2D were incomplete. Some of the results and conclusions of this paper have recently been announced in a short communication [A. V. Chubukov and D. L. Maslov, cond-mat/0304381].

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Section: F Amplitude Of Quantum Magneto-oscillationsmentioning

confidence: 99%

Section: F Amplitude Of Quantum Magneto-oscillationsmentioning

confidence: 99%

Nonanalytic corrections to the Fermi-liquid behavior

2003

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“…In recent years a number of caveats concerning the applicability of such a procedure to strongly interacting 2D systems have appeared. 54 In particular, Martin et al 55 have shown that the interplay between electron-electron interactions and electronimpurity scattering leads in 2D to an effective temperaturedependent Dingle temperature with a leading lowtemperature behavior of the type T D ͑T͒ ϰ T ln T. The need for the introduction of a temperature-dependent Dingle parameter in strongly coupled Si-MOSFETs has been emphasized in Ref. 48, where a linear T D ͑T͒ was used to fit the longitudinal magnetoresistance data.…”

Section: Introductionmentioning

confidence: 99%

Quasiparticle self-energy and many-body effective mass enhancement in a two-dimensional electron liquid

et al. 2005

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Motivated by a number of recent experimental studies we have revisited the problem of the microscopic calculation of the quasiparticle self-energy and many-body effective mass enhancement in an unpolarized two-dimensional electron liquid. Our systematic study is based on the many-body local field theory and takes advantage of the results of the most recent diffusion Monte Carlo calculations of the static charge and spin response of the electron liquid. We report extensive calculations of both the real and imaginary parts of the quasiparticle self-energy. We also present results for the many-body effective mass enhancement and the renormalization constant over a broad range of electron densities. In this respect we critically examine the relative merits of the on-shell approximation, commonly used in weak coupling situations versus the actual self-consistent solution of the Dyson equation. We show that already for r s Ӎ 3 and higher, a solution of the Dyson equation proves necessary in order to obtain a well-behaved effective mass. Finally we find confirmation that the inclusion of both charge-and spin-density fluctuations beyond the random phase approximation is indeed crucial to get reasonable agreement with recent measurements.

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“…It has been shown theoretically [48][49][50] that in a large field and temperature range the product µT D can be approximated by the product of the bare cyclotron mass µ 0 and Dingle temperature T D0 in the absence of electronphonon scattering. While the case of electron-electron interactions is less studied in this respect, Martin et al [51] have proposed that the same compensation should hold for any inelastic processes, including the electronelectron scattering.…”

Section: Resultsmentioning

confidence: 99%

Shubnikov–de Haas oscillations and electronic correlations in the layered organic metal κ-(BETS)2 Mn[N(CN)2]3

Kartsovnik

Zverev

Biberacher

et al. 2017

Low Temperature Physics

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We present magnetoresistance studies of the quasi-two-dimensional organic conductor κ-(BETS)2Mn[N(CN)2]3, where BETS stands for bis(ethylenedithio)tetraselenafulvalene. Under a moderate pressure of 1.4 kbar, required for stabilizing the metallic ground state, Shubnikov -de Haas oscillations, associated with a classical and a magnetic-breakdown cyclotron orbits on the cylindrical Fermi surface, have been found at fields above 10 T. The effective cyclotron masses evaluated from the temperature dependence of the oscillation amplitudes reveal strong renormalization due to many-body interactions. The analysis of the relative strength of the oscillations corresponding to the different orbits and its dependence on magnetic field suggests an enhanced role of electron-electron interactions on flat parts of the Fermi surface.

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Quantum magneto-oscillations in a two-dimensional Fermi liquid

Cited by 55 publications

References 26 publications

Nonanalytic corrections to the Fermi-liquid behavior

Nonanalytic corrections to the Fermi-liquid behavior

Quasiparticle self-energy and many-body effective mass enhancement in a two-dimensional electron liquid

Shubnikov–de Haas oscillations and electronic correlations in the layered organic metal κ-(BETS)2 Mn[N(CN)2]3

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