Charged-boson fluid in two and three dimensions

Apaja, V.; Halinen, J.; Halonen, V.; Krotscheck, E.; Saarela, M.

doi:10.1103/physrevb.55.12925

Cited by 62 publications

(74 citation statements)

References 69 publications

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“…͑1͒ Experimental data for the effective mass were collected in small magnetic fields, hence one needs to generalize our theory to take into account a magnetic field. ͑2͒ It is clear that the FHNC approximation works well for small and intermediate coupling strengths in 2D EG 43 and one needs to go beyond the simple FHNC approximation by incorporating the bridge functions and triplet correlation functions. 48 …”

Section: Discussionmentioning

confidence: 99%

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Many-body effective mass and spin susceptibility in a quasi-two-dimensional electron liquid

Asgari

Tanatar

2006

Phys. Rev. B

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We present numerical calculations of the effect of electron-electron interactions on the quasiparticle properties such as the effective mass and the Landé g-factor in a GaAs/ AlGaAs triangular quantum well from which the spin susceptibility is obtained. For this purpose, we consider quantum many-body effects associated with charge-and spin-density fluctuations induced many-body vertex corrections. The approach is based on the many-body local-field factors which are extracted from Fermi hypernetted-chain self-consistent calculation through the fluctuation-dissipation theorem. We find the spin susceptibility in good agreement with the recent experimental measurements and quantum Monte Carlo simulation data for such a system in the weak and intermediate coupling limits.

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Section: Discussionmentioning

confidence: 99%

“…Expressions similar to the above have been used in the context of charged boson fluids 43 with the replacement of S HF ͑q͒ by unity. The MSA is essentially a plasmon-pole type ap-proximation, where the particle-hole excitations are replaced by a single collective mode.…”

Section: Fluctuation-dissipation Theoremmentioning

confidence: 99%

Many-body effective mass and spin susceptibility in a quasi-two-dimensional electron liquid

Asgari

Tanatar

2006

Phys. Rev. B

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“…The tilde in potential indicates that we use dimensionless Fourier transforms,Ṽ s (k) = ρ d 3 rV s (r)e ik·r , correspondingly the Lindhard function has the dimension of an inverse energy. We note in passing that the random phase approximation (4) also satisfies the m 1 sumrule as an identity, whereas the inclusion of at least two-particle-twohole excitations is needed to satisfy higher-order sumrules [10].…”

Section: Two-dimensional Liquidmentioning

confidence: 99%

Effective Mass of Two-DimensionalHe3

et al. 2003

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We use structural information from diffusion Monte Carlo calculations for two-dimensional 3 He to calculate the effective mass. Static effective interactions are constructed from the density-and spin structure functions using sumrules. We find that both spin-and density-fluctuations contribute about equally to the effective mass. Our results show, in agreement with recent experiments, a flattening of the single-particle self-energy with increasing density, which eventually leads to a divergent effective mass.PACS numbers: 67.57Pq Two-dimensional liquid3 He is particularly interesting because it is, even at zero temperature, not self-bound and can, therefore, be studied in a wide density range. Although governed by one of the simplest Hamiltonians for realistic many-body systems, 3 He exhibits a wide range of delicate and complex phenomena which have, by-and-large, been resilient to a understanding from the underlying Hamiltonian. Only recently, Monte Carlo techniques have moved to a point where structural properties have been understood from first principles [1,2]. Low-energy dynamical properties of 3 He at low temperatures are phenomenologically described by Landau's Fermi-Liquid theory, which establishes relationships between observable quantities such as the specific heat, the compressibility, and the magnetic susceptibility. Understanding the so-called Fermi-Liquid parameters in 3 He has therefore been a recurring issue in theoretical low-temperature research. The calculation of FermiLiquid parameters in terms of Feynman diagrams is operationally well defined, but the execution of the theory from an underlying microscopic Hamiltonian is far too complicated to be practical. Hence, many attempts have been made to explain the features of Fermi-Liquid parameters within semi-phenomenological models [3,4,5].We examine in this paper physical effects contributing to the effective mass in two-dimensional 3 He. This work is motivated by a recent sequence of measurements [6] that seem to indicate a Mott-Hubbard transition in quasi-two-dimensional 3 He atomic monolayers. Technically, our calculations correspond to those of Ref. 7,8, but we will use as much information as possible from accurate ground state Monte Carlo simulations.The relevant quantity for the effective mass is the single-particle propagator G(k, ω) in the vicinity of the Fermi surface. It is expressed in terms of the proper selfenergy Σ * (k, ω) through the Dyson equation [9]is the free single-particle spectrum. The physical excitation spectrum is obtained by finding the poles of the Green's function in the (k, ω)-plane. Several steps are involved in constructing practically useful expressions for the proper self-energy Σ * (k, ω). The first step is the derivation of effective interactions. We use for that purpose results from diffusion Monte-Carlo calculations [2]. The structure function can be written aswhere the components are constructed from the structure functions for parallel and antiparallel spins. Both quantities are obtained by either directly...

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“…We will then show that an analytic continuation of the parametrisation by Attaccalite et al [1] fits well the existing many-body calculations for multicomponent systems. As reference data we use the calculations of Conti and Senatore [10] for a four-component 2D electron gas and the results of Apaja et al [13] for a 2D charged Bose gas which can be viewed as an upper bound for the energy of a Fermi gas with an infinite number of internal degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

Exchange-correlation energy of a multicomponent two-dimensional electron gas

Kärkkäinen

Koskinen

Reimann³

et al. 2003

Phys. Rev. B

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We discuss the exchange-correlation energy of a multicomponent (multi-valley) two-dimensional electron gas and show that an extension of the recent parametrisation[1] of the exchange-correlation energy by Attacalite et al. describes well also the multicomponent system. We suggest a simple mass dependence of the correlation energy and apply it to study the phase diagram of the multicomponent 2D electron (or hole) gas. The results show that even a small mass difference of the components (e.g. heavy and light holes) decreases the concentration of the lighter components already at relatively high densities.

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Charged-boson fluid in two and three dimensions

Cited by 62 publications

References 69 publications

Many-body effective mass and spin susceptibility in a quasi-two-dimensional electron liquid

Many-body effective mass and spin susceptibility in a quasi-two-dimensional electron liquid

Effective Mass of Two-DimensionalHe3

Exchange-correlation energy of a multicomponent two-dimensional electron gas

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