The two-dimensional t-J model on the square lattice is studied as a relevant model to capture the essential physics of the high-temperature copper-oxide superconductors. In order to gain understanding of the basic physics of the model, fundamental issues such as the motion of a single hole and the binding of two holes in a quantum antiferromagnet are addressed. A numerical approach is followed, combining a variation calculation with the use of the Green's function Monte Carlo method, applied in this thesis for the first time to study the t-J model in the presence of mobile holes. Important insight is obtained on the effect of a single hole on the antiferromagnetic background and on the occurrence of binding of two holes. It is found that a critical value $(t/J)\sb{c}$ of the parameter t/J of the model exists such that hole binding no longer takes place for $t/J>(t/J)\sb{c},$ with $(t/J)\sb{c}\sim3.7.$ The value that t/J should have in the real material is estimated to be about 3, in order for the model to be relevant to superconductivity. Further research developments are discussed. / Source: Dissertation Abstracts International, Volume: 53-10, Section: B, page: 5271. / Major Professor: Efstratios Manousakis. / Thesis (Ph.D.)--The Florida State University, 1992.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_76777 |
| Contributors | Boninsegni, Massimo., Florida State University |
| Source Sets | Florida State University |
| Language | English |
| Detected Language | English |
| Type | Text |
| Format | 151 p. |
| Rights | On campus use only. |
| Relation | Dissertation Abstracts International |
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