Static Response of Homogeneous Quantum Fluids by Diffusion Monte Carlo

Senatore, G.; Moroni, Saverio; Ceperley, David M.

doi:10.1007/978-94-011-4792-7_7

Cited by 10 publications

(23 citation statements)

References 30 publications

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“…Analytical expressions for the relevant static local-field factors G + ͑q͒ and G − ͑q͒, are available, 35 which reproduce the most recent diffusion Monte Carlo data 10,15 and, as we are going to summarize below, embody the exact asymptotic behaviors at both small and large wave numbers q. Specifically, in the long wavelength limit our choice satisfies the compressibility and spin-susceptibility sum rules,…”

Section: Local-field Factorsmentioning

confidence: 98%

“…3 and 4, or to quantum Monte Carlo ͑QMC͒ simulation methods. [8][9][10][11][12][13][14][15][16][17][18] Among the methods designed to deal with the intermediate density regime, of particular interest for its physical appeal and elegance is Landau's phenomenological theory 19 dealing with low-lying excitations in a Fermi liquid. Landau called such single-particle excitations quasiparticles ͑QPs͒ and postulated a one-to-one correspondence between them and the excited states of a noninteracting Fermi gas.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Local-field Factorsmentioning

confidence: 98%

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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“…For this reason, in evaluating the particle-hole contribution to the drag resistivity, we use the static limit of the LFFs. We take advantage of the analytical expressions recently obtained for G XC − ͑q͒ and G XC + ͑q͒, LFFs, 38 which accurately reproduce the diffusion Monte Carlo data, 33 as well as the exact asymptotic behaviors in the large-and small-q limits. Notice that both the dynamic XC kernels 34,35 and the static LFFs, 38 which we have used in our calculations, are evaluated at T = 0 for an ideal 2DES of zero width.…”

Section: ͑14͒mentioning

confidence: 99%

Exchange and correlation effects on plasmon dispersions and Coulomb drag in low-density electron bilayers

et al. 2007

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We investigate the effect of exchange and correlation ͑XC͒ on the plasmon spectrum and the Coulomb drag between spatially separated low-density two-dimensional electron layers. We adopt a different approach, which employs dynamic XC kernels in the calculation of the bilayer plasmon spectra and of the plasmon-mediated drag, and static many-body local field factors in the calculation of the particle-hole contribution to the drag. The spectrum of bilayer plasmons and the drag resistivity are calculated in a broad range of temperatures taking into account both intra-and interlayer correlation effects. We observe that both plasmon modes are strongly affected by XC corrections. After the inclusion of the complex dynamic XC kernels, a decrease of the electron density induces shifts of the plasmon branches in opposite directions. This is in stark contrast with the tendency observed within random phase approximation that both optical and acoustical plasmons move away from the boundary of the particle-hole continuum with a decrease in the electron density. We find that the introduction of XC corrections results in a significant enhancement of the transresistivity and qualitative changes in its temperature dependence. In particular, the large high-temperature plasmon peak that is present in the random phase approximation is found to disappear when the XC corrections are included. Our numerical results at low temperatures are in good agreement with the results of recent experiments by Kellogg et al. ͓Solid State Commun. 123, 515 ͑2002͔͒.

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“…1 Quantum Monte Carlo based numerical studies offer an alternative route and have the advantage of a theoretical framework that is accurate and virtually exact for a wide range of densities. [6][7][8][9][10] Despite intensive efforts, a quantitative characterization of the Fermi liquid regime in the intermediate density range is still to be achieved. In the case of the three-dimensional electron liquid, following a route originally proposed by Hubbard,11 vertex corrections were approximately incorporated to this purpose by Rice 12 through the use of a static many-body local field factor in an attempt to go beyond the random phase approximation ͑RPA͒ of Hedin and Lundqvist 13 and Quinn and Ferrell.…”

Section: Introductionmentioning

confidence: 99%

Many-body local fields theory of quasiparticle properties in a three-dimensional electron liquid

Simion

Giuliani

2008

Phys. Rev. B

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We present a quantitative study of the quasiparticle properties of a three-dimensional electron Fermi liquid. Our approach is based on the theory of the many-body local field factors which we use to include vertex corrections associated with charge and spin fluctuations. Extensive use is made of the results of recent quantum Monte Carlo calculations. Several models for the wave-vector dependence of the spin-antisymmetric manybody local field factor G − , for which no numerical results are currently available, are discussed and compared. Both the real and imaginary parts of the self-energy as well as the quasiparticle renormalization constant and the enhancement of the effective mass are calculated in the experimentally accessible range of electron densities. The results obtained by means of the on-shell approximation are critically compared with those given by a self-consistent solution of the Dyson equation. An ultraviolet catastrophe in the Coulomb-hole part of the self-energy is identified and a satisfactory resolution of this impasse is presented. The same many-body local field factors are also used to obtain the Landau interaction function. This allows us to obtain both the spin susceptibility and the proper compressibility of the system.

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Static Response of Homogeneous Quantum Fluids by Diffusion Monte Carlo

Cited by 10 publications

References 30 publications

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

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

Exchange and correlation effects on plasmon dispersions and Coulomb drag in low-density electron bilayers

Many-body local fields theory of quasiparticle properties in a three-dimensional electron liquid

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