Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:cond-mat/0203579 · The European Physical Journal B

From independent particle towards collective motion for two polarized electrons on a square lattice

Moises Martinez-Mares, J.‐L. Pichard

Published Nov 1, 2002• 3 citations
arXivHTMLPDF
DOI
10.1140/epjb/e2002-00362-y

Related papers

A Microscopic Theory of Collective and Independent-Particle Motions

A. Kuriyama

Progress of Theoretical Physics Supplement•Jan 1, 1983•2 citations

Probing The Collective and Independent-Particle Character of Atomic Electrons

R. Stephen Berry

Springer eBooks•Jan 1, 1995•0 citations

Collective motion of electrons in a strongly interacting 2D electron system

Pedro Brussarski, S. Li, S. V. Kravchenko +2 more

•Apr 14, 2017•0 citations

Collective charge excitations and the metal-insulator transition in the square lattice Hubbard-Coulomb model

Maksim Ulybyshev, Christopher Winterowd, Savvas Zafeiropoulos

In this article, we discuss the nontrivial collective charge excitations (plasmons) of the extended square lattice Hubbard model. Using a fully nonperturbative approach, we employ the hybrid Monte Carlo algorithm to simulate the system at half-filling. A modified Backus-Gilbert method is introduced to obtain the spectral functions via numerical analytic continuation. We directly compute the single-particle density of states which demonstrates the formation of Hubbard bands in the strongly correlated phase. The momentum-resolved charge susceptibility also is computed on the basis of the Euclidean charge-density-density correlator. In agreement with previous extended dynamical mean-field theory studies, we find that, at high strength of the electron-electron interaction, the plasmon dispersion develops two branches.

arXiv:1707.04212•Physical review. B./Physical review. B•Nov 9, 2017•20 citations

Transport coefficients for a slow Fermi-particle motion

J. P. Błocki, A. G. Magner

The collective dynamics of a quantum gas of independent particles was studied for a slow collective motion within the nuclear model based on the time-dependent mean-field approach. Leading smooth semiclassical corrections to the friction and inertia coefficients for small multipole distortions of the infinitely deep square-well potential were obtained within the periodic orbit theory. The smooth inertia is mostly larger than its irrotational flow value.

Physica Scripta•May 1, 2013•4 citations

The hierarchical Green’s function approach to the two-dimensional Hubbard model

Yu-Liang Liu

By introducing multiple-site correlation functions, we propose a hierarchical Green’s function approach, and apply it to study the characteristic properties of a two-dimensional (2D) square lattice Hubbard model by solving the equation of motions of a one-particle Green’s function and related multiple-site correlation functions. Under a cut-off approximation and taking the Fourier representation of multiple-site correlation functions, we obtain an analytical expression of one-particle Green’s function with static correlation functions. Then we calculate the spectral density function of electrons, and obtain that besides two main peaks corresponding to the lower and upper Hubbard bands in the spectral density function, there emerge some novel states between these two main peaks, and the total spectral weight of these emerged states is proportional to the hole doping concentration [Formula: see text]. Meanwhile, there also emerge some collective modes related to possible charge/spin density wave and/or electronic pairing density wave ordering states. This calculation is completely consistent with the spectroscopy observations of the cuprate superconductors in normal states. On the other hand, the appearance of the static correlation functions in the one-particle Green’s function can be used to describe the intertwined orders observed in the normal state of the cuprate superconductors.

arXiv:1712.02002•International Journal of Modern Physics B•Aug 17, 2018•5 citations
In this article, we discuss the nontrivial collective charge excitations (plasmons) of the extended square lattice Hubbard model. Using a fully nonperturbative approach, we employ the hybrid Monte Carlo algorithm to simulate the system at half-filling. A modified Backus-Gilbert method is introduced to obtain the spectral functions via numerical analytic continuation. We directly compute the single-particle density of states which demonstrates the formation of Hubbard bands in the strongly correlated phase. The momentum-resolved charge susceptibility also is computed on the basis of the Euclidean charge-density-density correlator. In agreement with previous extended dynamical mean-field theory studies, we find that, at high strength of the electron-electron interaction, the plasmon dispersion develops two branches.
By introducing multiple-site correlation functions, we propose a hierarchical Green’s function approach, and apply it to study the characteristic properties of a two-dimensional (2D) square lattice Hubbard model by solving the equation of motions of a one-particle Green’s function and related multiple-site correlation functions. Under a cut-off approximation and taking the Fourier representation of multiple-site correlation functions, we obtain an analytical expression of one-particle Green’s function with static correlation functions. Then we calculate the spectral density function of electrons, and obtain that besides two main peaks corresponding to the lower and upper Hubbard bands in the spectral density function, there emerge some novel states between these two main peaks, and the total spectral weight of these emerged states is proportional to the hole doping concentration [Formula: see text]. Meanwhile, there also emerge some collective modes related to possible charge/spin density wave and/or electronic pairing density wave ordering states. This calculation is completely consistent with the spectroscopy observations of the cuprate superconductors in normal states. On the other hand, the appearance of the static correlation functions in the one-particle Green’s function can be used to describe the intertwined orders observed in the normal state of the cuprate superconductors.