# 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.R1.29

### Abstract: R1.00029 : Coupled Cluster Approximation to the \emph{t-J} Model

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#### Authors:

Jay D. Mancini

(Kingsborough College of CUNY, Brooklyn, NY)

Vassilios Fessatidis

(Fordham University, Bronx, NY)

Samuel P. Bowen

(Chicago State University, Chicago, IL)

We study the ground state of the one-dimensional \emph{t-J} model with a single hole using the well known Coupled Cluster Method (CCM). The Hamiltonian includes a kinetic energy term \emph{t} which represents electron hopping from atomic site to atomic site with a probability which is proportional to the overlap of their (localized) wave functions. There is also an intra-atomic Coulomb energy $\emph{U}$ taken to be large so that the region of parameter space of interest is $t/U\ll1$. The CCM is a well-known scheme for evaluating many-particle systems wherein an operator $S$ is introduced as $\left\vert \Psi\right\rangle =e^{s}\left\vert \Psi_{0}\right\rangle $ and represents the many-particle excitations of the system. A set of non-linear equations are then generated from $\left\langle \Psi_{0}\right\vert H\left\vert \Psi _{n}\right\rangle =0$ and $\left\langle \Psi_{0}\right\vert H\left\vert \Psi_{0}\right\rangle =E_{0}$ in which the ground state energy may then be calculated.

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2005.MAR.R1.29

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