Analysis of the New Unrestricted Hartree-Fock Vortex Solution of the Hubbard Hamiltonian in Two-Dimensional Systems A Small-Cluster Study

1992 ◽  
Vol 173 (2) ◽  
pp. 715-724 ◽  
Author(s):  
E. Louis ◽  
J. Galán ◽  
F. Guinea ◽  
J. A. Vergés ◽  
J. Ferrer
Keyword(s):  
Small Cluster ◽  
Two Dimensional ◽  
Hubbard Hamiltonian ◽  
Hartree Fock ◽  
Vortex Solution

PHASE SEPARATION IN THE TWO-DIMENSIONAL HUBBARD MODEL

2005 ◽  
Vol 19 (01n03) ◽  
pp. 299-302 ◽  
Author(s):  
M. YU ◽  
H. Q. LIN
Keyword(s):  
Phase Separation ◽  
Hubbard Model ◽  
Coulomb Interaction ◽  
Single Band ◽  
Study Phase ◽  
Two Dimensional ◽  
Stripe Phase ◽  
Hartree Fock ◽  
Band Filling

In this paper, we study phase separation in the two-dimensional single-band Hubbard model with the unrestricted Hartree-Fock(UHF) method and the restricted Hartree-Fock (RHF) method. We perform the calculation for square lattices and rectangle lattices. It is observed that the stripe phase exists and it depends on three aspects: geometry of the lattice, Coulomb interaction U and band filling n. To gain more physical insights, we consider the Hubbard model with spin dependent hoppings: t↑ and t↓, and study the effect of varying [Formula: see text] on the phase separation.

COLLECTIVE-DYNAMICS EFFECTS IN FISSION OF 256,258FM ISOTOPES

2008 ◽  
Vol 17 (01) ◽  
pp. 81-88 ◽  
Author(s):  
A. DOBROWOLSKI ◽  
H. GOUTTE ◽  
J.-F. BERGER
Keyword(s):  
Generating Functions ◽  
Time Dependent ◽  
Two Dimensional ◽  
Generator Coordinate Method ◽  
Coordinate Method ◽  
Collective Dynamics ◽  
Hartree Fock ◽  
Mass Distributions ◽  
Generator Coordinate ◽  
Induced Fission

A dynamical approach to the neutron-induced fission of 255,257 Fm isotopes based on the time-dependent generator-coordinate method is applied. As the generating functions the eigensolutions of the constrained Hartree-Fock-Bogoliubov method with the effective D1S Gogny force are used. The here presented collective-dynamics calculations in the two-dimensional collective space described by quadrupole and octupole moments allow to determine the fragment mass distributions of those two Fm isotopes.

Interacting fermions in a two-dimensional trap and fractional exclusion statistics

2000 ◽  
Vol 78 (1) ◽  
pp. 9-19 ◽  
Author(s):  
M K Srivastava ◽  
R K Bhaduri ◽  
J Law ◽  
M.V.N. Murthy
Keyword(s):  
Excited States ◽  
State Energy ◽  
Local Density ◽  
Two Dimensional ◽  
Body System ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
Thomas Fermi ◽  
Hartree Fock ◽  
Number Of Particles

We consider N fermions in a two-dimensional harmonic oscillator potential interacting with a very short-range repulsive pair-wise potential. The ground-state energy of this system is obtained by performing a Thomas-Fermi as well as a self-consistent Hartree-Fock calculation. The two results are shown to agree even for a small number of particles. We next use the finite-temperature Thomas-Fermi method to demonstrate that in the local density approximation, these interacting fermions are equivalent to a system of noninteracting particles obeying the Haldane-Wu fractional exclusion statistics. It is also shown that mapping onto a system of N noninteracting quasiparticles enables us to predict the energies of the ground and excited states of the N-body system. PACS Nos.: 05.30-d, 73.20Dx

scholarly journals Deformed K− nuclei in the Skyrme–Hartree–Fock approach

2019 ◽  
Vol 2019 (12) ◽  
Author(s):  
Yun Jin ◽  
Chao Feng Chen ◽  
Xian-Rong Zhou ◽  
Yi-Yuan Cheng ◽  
H-J Schulze
Keyword(s):  
Complete Loss ◽  
Skyrme Force ◽  
Two Dimensional ◽  
Deformed Nuclei ◽  
Hartree Fock ◽  
The Core ◽  
Maximum Value ◽  
Deformation Properties ◽  
Kaonic Nuclei

Abstract The properties of kaonic nuclei are studied using a two-dimensional Skyrme–Hartree–Fock model with a $KN$ Skyrme force. We focus in particular on the instability of the solutions for a too strong $KN$ interaction, which determines a maximum value of the kaon binding in this approach. We then analyze the change of the deformation properties of several core-deformed nuclei caused by the added kaon, and find a shrinking of the core and in some cases a complete loss of deformation.

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