Dielectric response of a one-dimensional electron gas

Friesen, W. I.; Bergersen, B.

doi:10.1088/0022-3719/13/36/016

Cited by 157 publications

(133 citation statements)

References 8 publications

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“…Actually, as q-+ 0, ~Oq is independent of r~ because of l(q) which we discuss later. For small q, COq shows a linear behavior, reminiscent of phe- systems with different wire models were studied earlier [10,11]. Our results are in qualitative agreement with such calculations.…”

Section: A(q) = Rtzq/[8rsf(q)l(q)]supporting

confidence: 88%

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Spin correlations in a quasi-one-dimensional electron gas

Tanatar

1996

Physica B: Condensed Matter

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We study the spin correlations in a quasi-one-dimensional electron gas within the self-consistent-field approximation (SCFA). Electrons confined in a parabolic potential restricted to have free motion in one space dimension, and interact via a Coulomb-type potential are assumed to model quantum wires as realized in semiconductor structures. Density and spin-density response of the interacting electron system is investigated where correlation effects beyond the randomphase approximation (RPA) are embodied in the local-field factors. We calculate the spin-dependent pair-correlation functions and effective potentials, and determine the paramagnon dispersion. We find that electron correlation effects signal a paramagnetic instability for r~ > 1.5.

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Section: A(q) = Rtzq/[8rsf(q)l(q)]supporting

confidence: 88%

“…V(q) (10) As in the 2D case [7], SH(q) (dashed line in Fig. 2) exhibits a sharper peak at q = 2kv than the selfconsistent result S(q).…”

Section: V(~/q 2 + K2v) 1h(q) = -2mentioning

confidence: 69%

Spin correlations in a quasi-one-dimensional electron gas

Tanatar

1996

Physica B: Condensed Matter

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“…Evidently, different models of confinement yield different effective potentials. One of the firt models assumes a harmonic confinement in the transverse plane [11]. More recently a hard wall confinement has been investigated, with the electrons moving freely in a cylinder of given radius [12].…”

Section: The Modelmentioning

confidence: 99%

“…Earlier investigations of this model have employed the so-called STLS approximation [15], either in its original version [11] or in its sum rule approach [16]. Both the paramagnetic [11,16] and the ferromagnetic [17] phases have been studied and the occurrence of a Bloch instability [transition from the paramagnetic to ferromagnetic state] has been predicted [17].…”

Section: The Modelmentioning

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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“…[167][168][169][170][171] However, because the Coulomb potential diverges in one-dimension, and a soft-Coulomb potential shall be used instead, [172][173][174][175] the real physical meaning of this density scaling is rather ambiguous. For this reason, it has never been considered in meta-GGA development; despite it is a possible constraint at this level.…”

Section: Two-dimensional Density Scalingmentioning

confidence: 99%

Kinetic‐energy‐density dependent semilocal exchange‐correlation functionals

Sala

Fabiano

Constantin

2016

Int J of Quantum Chemistry

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We present the theory of semilocal exchange-correlation (XC) energy functionals which depend on the Kohn-Sham kinetic energy density (KED), including the relevant class of meta-generalized gradient approximation (meta-GGA) functionals. Thanks to the KED ingredient, meta-GGA functionals can satisfy different exact constraints for XC energy and can be made one-electron selfcorrelation free. This leads to a better accuracy over a wider range of properties with respect to GGAs, often reaching the accuracy of hybrid functionals, but at much reduced computational cost.An extensive survey of the relevant literature on existing KED dependent XC functionals is provided, considering nonempirical, semi-empirical, and fully empirical ones. A deeper analysis and a wide benchmark are presented for functionals derived considering only exact constraints and parameters obtained from model and/or atomic systems. K E Y W O R D Sdensity functional theory, kinetic energy, meta-GGA | I N T R O D U C T I O NKohn-Sham (KS)-density functional theory (DFT) [1][2][3][4][5] is nowadays one of the most popular computational approaches in quantum chemistry, solid-state physics, and materials science. [6][7][8][9][10][11] While the ground-state description of a real system of interacting electrons requires a complicate N-electron wavefunction, in KS-DFT this is mapped onto an auxiliary system of noninteracting electrons having the same ground-state density, which can be easily described using N single-particle KS orbitals. [1,2] The correspondence between the many-electron problem and the KS system is in principle exact [1,3] and it is based on the so called exchange-correlation (XC) energy functional, which collects all the quantum electron-electron interaction terms beyond the Hartree one. [12] Within the constrained-search formalism, [13] the XC energy functional is:E xc ½q 5 min W!q hWjT 1V ee jWi2T s ½q 2J½q 5E x ½q 1U c ½q 1T c ½q ;(1) where W is an N-electron ground-state wavefunction yielding the electron density q,T is the kinetic energy (KE) operator,V ee is the electron-electron interaction operator, T s is the KE of the noninteracting system, J is the Coulomb energy, E x is the exact exchange energy, and U c and T c represent, respectively, the potential and the kinetic contributions to the DFT correlation energy E c 5U c 1T c . The important point of Equation1 is that it is an universal functional of the electron density. However, its explicit functional form is not known, and any practical realization of KS-DFT is based on an approximated XC functional. The latter determines in practice the overall accuracy of the KS-DFT calculation.The study of the exact properties of the XC energy functional as well as the development of new and improved approximations have been hot research topics in DFT for more than three decades, and a large number of XC approximations has been proposed. [12,14,15] The different XC functionals are usually classified, according to their complexity, on the so called Jacob's ladder of DFT [14,16] whic...

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Dielectric response of a one-dimensional electron gas

Cited by 157 publications

References 8 publications

Spin correlations in a quasi-one-dimensional electron gas

Spin correlations in a quasi-one-dimensional electron gas

Quantum Monte Carlo study of electrons in low dimensions

Kinetic‐energy‐density dependent semilocal exchange‐correlation functionals

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