# A Study of the Effects of Disorder in the 2D Hubbard Model

## Abstract

We study the effects of disorder on long range antiferromagnetic correlations and the Mott gap in the half-filled, two dimensional, repulsive Hubbard model. We employ Hartree-Fock (HF) and Quantum Monte Carlo (QMC) techniques in our study of the bond and site disordered models. Results from mean field (HF) calculations are used to develop a qualitative picture of the physics and to guide our choice for input to the QMC methods. The basic properties of two QMC methods for correlated fermions are discussed, and the results from these different approaches are presented.

- Authors:

- Publication Date:

- Research Org.:
- Lawrence Livermore National Lab., CA (US)

- Sponsoring Org.:
- USDOE Office of Defense Programs (DP) (US)

- OSTI Identifier:
- 793619

- Report Number(s):
- UCRL-JC-139246

TRN: US0205250

- DOE Contract Number:
- W-7405-Eng-48

- Resource Type:
- Conference

- Resource Relation:
- Conference: UC Davis Colloquium, Davis, CA (US), 06/05/2000; Other Information: PBD: 5 Jun 2000

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FERMIONS; HUBBARD MODEL; PHYSICS; ANTIFERROMAGNETISM; HARTREE-FOCK METHOD; MONTE CARLO METHOD

### Citation Formats

```
Enjalran, M, Hebert, F, Scalettar, R, Zhang, S, and Batrouni, G.
```*A Study of the Effects of Disorder in the 2D Hubbard Model*. United States: N. p., 2000.
Web.

```
Enjalran, M, Hebert, F, Scalettar, R, Zhang, S, & Batrouni, G.
```*A Study of the Effects of Disorder in the 2D Hubbard Model*. United States.

```
Enjalran, M, Hebert, F, Scalettar, R, Zhang, S, and Batrouni, G. Mon .
"A Study of the Effects of Disorder in the 2D Hubbard Model". United States. https://www.osti.gov/servlets/purl/793619.
```

```
@article{osti_793619,
```

title = {A Study of the Effects of Disorder in the 2D Hubbard Model},

author = {Enjalran, M and Hebert, F and Scalettar, R and Zhang, S and Batrouni, G},

abstractNote = {We study the effects of disorder on long range antiferromagnetic correlations and the Mott gap in the half-filled, two dimensional, repulsive Hubbard model. We employ Hartree-Fock (HF) and Quantum Monte Carlo (QMC) techniques in our study of the bond and site disordered models. Results from mean field (HF) calculations are used to develop a qualitative picture of the physics and to guide our choice for input to the QMC methods. The basic properties of two QMC methods for correlated fermions are discussed, and the results from these different approaches are presented.},

doi = {},

journal = {},

number = ,

volume = ,

place = {United States},

year = {2000},

month = {6}

}

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