# Finite Size Effects in Anisotropic u = ∞ Hubbard Ladder Rings

## Abstract

We apply perturbation theory and cyclic spin permutation formalism to study the lowest energy states of the infinite-repulsion Hubbard model on finite fragments of n-leg ladder rings and show jump-wise behavior of the ground state spin S{sub 0} as a function of fragment parameters.

- Authors:

- V.N. Karazin Kharkiv National University (Ukraine)
- Texas A&M University at Galveston (United States)

- Publication Date:

- OSTI Identifier:
- 22771333

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Superconductivity and Novel Magnetism

- Additional Journal Information:
- Journal Volume: 31; Journal Issue: 5; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; Article Copyright (c) 2017 Springer Science+Business Media, LLC; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1557-1939

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANISOTROPY; ELECTRONS; GROUND STATES; HUBBARD MODEL; PERTURBATION THEORY; SPIN

### Citation Formats

```
Cheranovskii, V. O., E-mail: cheranovskii@i.ua, Ezerskaya, E. V., Klein, D. J., and Tokarev, V. V.
```*Finite Size Effects in Anisotropic u = ∞ Hubbard Ladder Rings*. United States: N. p., 2018.
Web. doi:10.1007/S10948-017-4323-Y.

```
Cheranovskii, V. O., E-mail: cheranovskii@i.ua, Ezerskaya, E. V., Klein, D. J., & Tokarev, V. V.
```*Finite Size Effects in Anisotropic u = ∞ Hubbard Ladder Rings*. United States. doi:10.1007/S10948-017-4323-Y.

```
Cheranovskii, V. O., E-mail: cheranovskii@i.ua, Ezerskaya, E. V., Klein, D. J., and Tokarev, V. V. Tue .
"Finite Size Effects in Anisotropic u = ∞ Hubbard Ladder Rings". United States. doi:10.1007/S10948-017-4323-Y.
```

```
@article{osti_22771333,
```

title = {Finite Size Effects in Anisotropic u = ∞ Hubbard Ladder Rings},

author = {Cheranovskii, V. O., E-mail: cheranovskii@i.ua and Ezerskaya, E. V. and Klein, D. J. and Tokarev, V. V.},

abstractNote = {We apply perturbation theory and cyclic spin permutation formalism to study the lowest energy states of the infinite-repulsion Hubbard model on finite fragments of n-leg ladder rings and show jump-wise behavior of the ground state spin S{sub 0} as a function of fragment parameters.},

doi = {10.1007/S10948-017-4323-Y},

journal = {Journal of Superconductivity and Novel Magnetism},

issn = {1557-1939},

number = 5,

volume = 31,

place = {United States},

year = {2018},

month = {5}

}

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