Ground state of the periodic anderson model: comparison of exact diagonalization and monte carlo results

1988 ◽  
Vol 38 (16) ◽  
pp. 11869-11870 ◽  
Author(s):  
D. P. Chen ◽  
J. Callaway
Keyword(s):  
Monte Carlo ◽  
Anderson Model ◽  
Ground State ◽  
Model Comparison ◽  
Exact Diagonalization ◽  
Periodic Anderson Model

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.

QUANTUM MONTE CARLO SIMULATION STUDY OF ONE-DIMENSIONAL PERIODIC ANDERSON MODEL

1999 ◽  
Vol 13 (32) ◽  
pp. 3927-3942
Author(s):  
MEENAKSHI SHARMA ◽  
KAMLESH KUMARI ◽  
ISHWAR SINGH
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Anderson Model ◽  
Quantum Monte Carlo ◽  
Periodic Anderson Model ◽  
Monte Carlo Simulation Study ◽  
One Dimensional ◽  
Monte Carlo Simulation Technique ◽  
Quantum Monte Carlo Simulation ◽  
Density Correlations

Many rare earth and actinide intermetallics, known as Heavy Fermion Systems, have recently been successfully described by the Periodic Anderson Model. We investigate, in this work, various electronic and magnetic properties of the one-dimensional Periodic Anderson model using path integral formulation along with the quantum Monte Carlo simulation technique. We have studied the singlet and triplet pairing correlation functions, nearest neighbor charge-density correlations, spin density correlations, local squared magnetic moment and probability of double occupancy of f-electrons, as a function of intra-atomic Coulomb interaction for various values of hybridization parameter and the temperatures.

Sign in / Sign up

Export Citation Format

Share Document