Ground-State Energy of the Anderson Model by the Cluster Variation Method

1968 ◽  
Vol 176 (2) ◽  
pp. 600-605 ◽  
Author(s):  
Shyamalendu M. Bose ◽  
Tomoyasu Tanaka
Keyword(s):  
Ground State Energy ◽  
Anderson Model ◽  
Ground State ◽  
State Energy ◽  
Cluster Variation Method ◽  
Variation Method ◽  
Cluster Variation

A First Principles Examination of Phase Stability in Fcc-Based Ni-V Substitutional Alloys

1990 ◽  
Vol 186 ◽  
Author(s):  
J. Mikalopas ◽  
P.E.A. Turchi ◽  
M. Sluiter ◽  
P.A. Sterne
Keyword(s):  
Phase Stability ◽  
Ground State ◽  
First Principles ◽  
Cluster Variation Method ◽  
Variation Method ◽  
Many Body ◽  
Cluster Variation ◽  
Many Body Interactions ◽  
Ground State Energies ◽  
Substitutional Alloys

AbstractThe phase stability of fcc-based Ni-V substitutional alloys is investigated using linear muffin-tin orbitals total energy (LMTO) calculations. The method of Connolly and Williams (CWM) is used to extract many body interactions from the ground state energies of selected ordered configurations. These interactions are used in conjunction with the cluster variation method (CVM) to calculate the alloy phase diagram. The dependence of the interactions on the choice of configurations used to calculate them is examined.

scholarly journals Analytic approximation to the ground-state energy of the Anderson model

1988 ◽  
Vol 38 (7) ◽  
pp. 5047-5050 ◽  
Author(s):  
Jay D. Mancini ◽  
William J. Massano ◽  
Charles D. Potter ◽  
Samuel P. Bowen
Keyword(s):  
Ground State Energy ◽  
Anderson Model ◽  
Ground State ◽  
State Energy ◽  
Analytic Approximation

scholarly journals The Study of the Ground State Properties of Heavy Famion System Using an Extended Kondo-Anderson Model in One Dimension

2020 ◽  
pp. 43-51
Author(s):  
Okunzuwa I. Samuel ◽  
C. Okaro Augustine
Keyword(s):  
Ground State Energy ◽  
Anderson Model ◽  
Ground State ◽  
State Energy ◽  
Heavy Fermions ◽  
Coulomb Repulsion ◽  
Interaction Parameters ◽  
Magnetic Impurities ◽  
Periodic Anderson Model ◽  
Coulomb Interactions

The Kondo interaction coupling, Heisenberg exchange coupling, and Coulomb interactions within d-sites, were introduced in a one dimensional Periodic Anderson Model Hamiltonian (PAMH) to further investigate the effects of interaction parameters on the ground state energy of systems with heavy fermions (HF) behavior. Periodic Anderson model PAM being one of the most successful model for studying the heavy fermions System (HFS) was used in an extended version (mixed Kondo-Anderson representation) on a system of three-electrons interacting on three-sites cluster. Exact Diagonalization technique (EDT) normally used to solve conventional PAM calculation was considered in this work for a very small cluster. Hamiltonian used to describe this model contains the usual term describing the kinetic energy of the system, on-site coulomb repulsion and a hopping integral. The Hamiltonian is acted on the different Hilbert states of the lattice system and results of the interactions were obtained in terms of hopping integral, coulomb repulsions, exchange couplings and the hybridization term. Graphs of ground state energy Eo plotted agains tthese interaction parameters were presented in a clear format. As these parameters were varied numerically through a finite range of values, the individual effects of these parameters on the system’s ground state energy were observed and discussed. Hence, the results obtained from this work shows theoretically how the tuning of the Columbic interaction within the conduction band  provides information that sheds light on the underlying physics of the heavy fermions systems models. Results obtained from this work further demonstrate the reliability of the model Hamiltonians that we have harnessed and the importance of considering electron-lattice interactions as well as interactions that account for magnetic impurities for the proper description of heavy fermions material.

Sign in / Sign up

Export Citation Format

Share Document