Electron Correlations at Metallic Densities, II. Quantum Mechanical Expression of Dielectric Function with Wigner Distribution Function

Hasegawa, Tadahiro; Shimizu, Masao

doi:10.1143/jpsj.38.965

Cited by 86 publications

(60 citation statements)

References 15 publications

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“…A pronounced peak at 4k F corresponds in real space to slowly decaying oscillations, with period equal to the average interparticle distance 2r s a * B , thus suggesting quasi-crystalline order. In the same figure we also give the predictions of approximate theories such as STLS or its dynamical version [24] (DSTLS). The STLS only gives the lowering of S nn (k) at small and intermediate values of k, for increasing r s , but fails completely in yielding a peak.…”

Section: The Structurementioning

confidence: 99%

Quantum Monte Carlo study of electrons in low dimensions

Malatesta

Senatore

2000

J. Phys. IV France

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Abstract. We report on a diffusion Monte Carlo investigation of model electron systems in low dimensions, which should be relevant to the physics of systems obtainable nowadays in semiconductor heterostructures. In particular, we present results for a one dimensional electron gas, at selected values of the coupling strength and confinement parameter, briefly analyzing the pair correlations and relating them to predictions by Schulz for a Luttinger liquid with long-range interactions. We find no evidence of the the Bloch instability yielded by approximate treatments such as the STLS and DFT schemes.

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Section: The Structurementioning

confidence: 99%

Quantum Monte Carlo study of electrons in low dimensions

Malatesta

Senatore

2000

J. Phys. IV France

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“…It is noted here, however, that the one-particle WDF involved in the EOM is for the interacting system and the effective source depends on the response F STLS and F STLS . The resemblance between the semi-classical and the quantum EOMs with the slow-variation approximation to the interaction and the inherent potential is also discussed by Hasegawa and Shimizu [10] for homogeneous systems.…”

Section: Slow-variation Approximation For Potential and Interactionmentioning

confidence: 89%

“…This ansatz is the same as for the homogeneous cases in the original semi-classical [1] and the quantum [10] STLS approaches, differing only in that g σσ ′ can depend on two position variables separately due to the inhomogeneity. The decomposition…”

Section: Linear-response Functions In Stls Approachmentioning

confidence: 99%

“…[2][3][4][5][6][7] The homogeneous STLS approach was applied also to a spin-polarized electron gas subject to the Zeemantype coupling. [8] Hasegawa and Shimizu [9,10] derived the EOM of the Wigner distribution function (WDF) [11] for an interacting gas by starting from the Heisenberg equation employing the factorization ansatz as adopted in the original STLS approach. Their work is thus referred to as a quantum mechanical version of the STLS approach.…”

Section: Introductionmentioning

confidence: 99%

“…In the present study, we therefore propose a quantum STLS approach for inhomogeneous interacting systems under time-dependent electromagnetic perturbation by deriving the linear equation for response functions in a manner adopted by Hasegawa and Shimizu [9,10]. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Quantum Singwi-Tosi-Land-Sjölander approach for interacting inhomogeneous systems under electromagnetic fields: Comparison with exact results

Kosugi

Matsushita

2017

The Journal of Chemical Physics

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For inhomogeneous interacting electronic systems under a time-dependent electromagnetic perturbation, we derive the linear equation for response functions in a quantum mechanical manner. It is a natural extension of the original semi-classical Singwi-Tosi-Land-Sjölander (STLS) approach for an electron gas. The factorization ansatz for the two-particle distribution is an indispensable ingredient in the STLS approaches for determination of the response function and the pair correlation function. In this study, we choose an analytically solvable interacting two-electron system as the target for which we examine the validity of the approximation. It is demonstrated that the STLS response function reproduces well the exact one for low-energy excitations. The interaction energy contributed from the STLS response function is also discussed.

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Spin‐Polarized Symmetric Electron‐Hole Quantum Bilayers: Finite width Effect

Nayak¹,

Saini²

2012

Contrib. Plasma Phys.

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In this paper, the effect of finite width on ground‐state properties of a spin‐polarized symmetric electron‐hole quantum bilayers (EHBL) system is investigated at zero temperature. The quantum self‐consistent mean‐field approximation of Singwi, Tosi, Land and Sjölander (qSTLS) is adopted to explore intra‐ and interlayer properties such as the pair‐correlation function, the static density susceptibility, the local‐field corrections and the ground‐state energy. Interestingly, we noticed that due to the inclusion of finite width, the critical density for the onset of Wigner crystal (WC) phase is now lowered as compared to the recent spin‐polarized EHBL system without finite width and unpolarized EHBL system with finite width. Further, spin‐polarization effect is seem to introduce a marked change in the ground‐state energy of EHBL system as compared to that of unpolarized system. Results of ground‐state energy are also compared with the recent EHBL system without finite width (© 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Electron Correlations at Metallic Densities, II. Quantum Mechanical Expression of Dielectric Function with Wigner Distribution Function

Cited by 86 publications

References 15 publications

Quantum Monte Carlo study of electrons in low dimensions

Quantum Monte Carlo study of electrons in low dimensions

Quantum Singwi-Tosi-Land-Sjölander approach for interacting inhomogeneous systems under electromagnetic fields: Comparison with exact results

Spin‐Polarized Symmetric Electron‐Hole Quantum Bilayers: Finite width Effect

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