Ground-state properties of the one dimensional electron liquid

Asgari, Reza

doi:10.1016/j.ssc.2006.12.018

Cited by 7 publications

(6 citation statements)

References 37 publications

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“…This results in reciprocal lattice points, and the number of q -points needed is which determine the size of the large cell. It has been verified that the implementation reproduces the FHNC/0 result of [ 17 ] in the homogeneous limit. In Fig.…”

Section: The Equations For the Periodic System And Results For A 1d Msupporting

confidence: 64%

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The Hypernetted Chain Equations for Periodic Systems

Panholzer

2017

J Low Temp Phys

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Starting from the general inhomogeneous Fermi hypernetted chain equations, the equations for periodic systems are derived by simple Fourier transform. It is shown how the symmetry reduces the size of the involved quantities. First results for a one-dimensional (1D) model system are presented. The results allow a reliable estimation of the numerical demand even for realistic 3D systems, such as solids. It is shown that treatment of this systems is feasible with moderate computational resources.

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Section: The Equations For the Periodic System And Results For A 1d Msupporting

confidence: 64%

“…The described method is applied to a 1D model system similar to that described by Asgari [ 17 ]. The interaction potential is derived from the electron gas in a homogeneous trap where b characterizes the thickness of the wire.…”

Section: The Equations For the Periodic System And Results For A 1d Mmentioning

confidence: 99%

The Hypernetted Chain Equations for Periodic Systems

Panholzer

2017

J Low Temp Phys

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“…At the same time, we have also observed that the qSTLS ͑as well as STLS͒ theory used by us is not that much successful in 1D as it is for the 3D and 2D electron systems. Interestingly, Asgari 42 has recently found that the Fermi hypernetted-chain approximation, which otherwise accounts quite accurately for the correlation effects in 2D and 3D, does not prove so in a 1D electron system. This clearly suggests that the electron cor- relations are relatively much stronger in 1D as compared to higher dimensional situations.…”

Section: Discussionmentioning

confidence: 99%

Ground-state properties of a quasi-one-dimensional electron gas within a dynamical self-consistent mean-field approximation

et al. 2008

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The ground-state properties of the quasi-one-dimensional electron gas are determined theoretically within the quantum/dynamical version of the self-consistent mean-field approximation of Singwi, Tosi, Land, and Sjölander ͑the so-called qSTLS approach͒. The transverse motion of electrons is assumed to be confined by a harmonic potential. The calculated static structure factor, pair-correlation function, and correlation energy are compared directly with the recent findings of lattice regularized diffusion Monte Carlo simulation study due to Casula et al. It has been found that the qSTLS results are overall in better agreement with the simulation data than the predictions based upon static mean-field theories. Results for the dynamic local-field correction, dynamic structure factor, and plasmon excitation energy are also reported. The qSTLS approach is found to yield an inadequate description of the dynamic properties; for instance, the dynamic structure factor was seen to become negative over a range of frequencies. Our theoretical predictions, seen in conjunction with similar studies on the three-and two-dimensional electron systems, lead us to conclude that the correlation effects are relatively more pronounced in one-dimensional electron gas.

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“…The harmonic wire has been studied with quantum Monte Carlo (QMC), [38][39][40] variants of the Singwi-Tosi-Land-Sjölander approach, [41][42][43][44] and the Fermi hypernetted-chain approximation. 45 We have studied both the infinitely thin wire and the harmonic wire using QMC. In this article we report QMC calculations of the momentum density (MD), energy, paircorrelation function (PCF), and static structure factor (SSF) of the infinitely thin wire at a variety of densities and system sizes.…”

Section: Introductionmentioning

confidence: 99%

Ground-state properties of the one-dimensional electron liquid

Lee

Drummond

2011

Phys. Rev. B

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We present calculations of the energy, pair-correlation function (PCF), static structure factor (SSF), and momentum density (MD) for the one-dimensional electron gas using the quantum Monte Carlo method. We are able to resolve peaks in the SSF at even-integer multiples of the Fermi wave vector, which grow as the coupling is increased. Our MD results show an increase in the effective Fermi wave vector as the interaction strength is raised in the paramagnetic harmonic wire; this appears to be a result of the vanishing difference between the wave functions of the paramagnetic and ferromagnetic systems. We have extracted the Luttinger liquid exponent from our MDs by fitting to data around k F , finding good agreement between the exponent of the ferromagnetic infinitely thin wire and the ferromagnetic harmonic wire.

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Ground-state properties of the one dimensional electron liquid

Cited by 7 publications

References 37 publications

The Hypernetted Chain Equations for Periodic Systems

The Hypernetted Chain Equations for Periodic Systems

Ground-state properties of a quasi-one-dimensional electron gas within a dynamical self-consistent mean-field approximation

Ground-state properties of the one-dimensional electron liquid

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