# Bulletin of the American Physical Society

# 2005 APS March Meeting

## Monday–Friday, March 21–25, 2005; Los Angeles, CA

### Session R1: Poster Session III

1:00 PM,
Wednesday, March 23, 2005

LACC
Room: Exhibit Hall 1:00-4:00pm

Abstract ID: BAPS.2005.MAR.R1.25

### Abstract: R1.00025 : Ground State of the Falicov-Kimball Model

Preview Abstract Abstract

#### Authors:

William J. Massano

(SUNY Maritime, Fort Schuyler, NY)

Jay D. Mancini

(Kingsborough College of CUNY, Brooklyn, NY)

Vassilios Fessatidis

(Fordham University, Bronx, NY)

Samuel P. Bowen

(Chicago State University, Chicago, IL)

Here we wish to consider the ground state of the spinless Falicov-Kimball model, which represents one of the few mathematical models that describe strong electron-electron correlations and is exactly solvable (in the infinite dimensional limit). The model itself describes the order- disorder transitions of annealed binary alloys wherein itinerant electrons interact locally with static ions. A Coupled Cluster Method approach will be used to evaluate the ground state properties of the system. Here the wave function for the many particle interacting system is given by $\left\vert \Psi\right\rangle =e^{s}\left\vert \Psi_{0}\right\rangle $ where the operator $S$ represents all one particle, two particle, \ldots, etc.~interactions. A set of non linear equations is generated from the matrix elements $E_{0} =\left\langle \Psi _{0}\right\vert H\left\vert \Psi_{0}\right\rangle $ and $\left\langle \Psi _{0}\right\vert H\left\vert \Psi_{n}\right\rangle =0$ from which the ground state energy $E_{0}$ may be computed.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2005.MAR.R1.25

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