Variational and Green Function Monte Carlo studies of lightly doped quantum antiferromagnets
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CONTRIBUTORS:
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UNIVERSITY / COLLEGE:
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YEAR:
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1992
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PUB TYPE:
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Thesis/Dissertation
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PAGES:
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SUBJECT(S):
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High-temperature superconductivity, strongly correlated electronic models, numerical simulations, quantum monte carlo
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DISCIPLINE:
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Physics
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HTTP:
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LANGUAGE:
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English
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PUB ID:
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103-397-710
(Last edited on
2006/01/24 19:15:28 US/Mountain)
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SPONSOR(S):
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ABSTRACT:
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 variational 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)c of the parameter t/J of the model exists such that hole binding no longer takes place for t/J > (t/J)c, with (t/J)c ~ 3.7$. 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
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STATISTICS
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