1999
DOI: 10.1016/s0378-4371(99)00157-0
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Unidimensional generalized Hubbard model in the high temperature limit

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Cited by 4 publications
(16 citation statements)
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“…In the thermodynamic limit (N → ∞) we show that W(β, µ) can be derived from an auxiliary function ϕ(λ) that is written only in terms of open connected sub-chains. The present approach gives a β-expansion of W(β, µ), whose coefficient of order β n can be obtained exactly for arbitrary value of n. The existence of this auxiliary function allow us to get higher order terms in the β-expansion of W(β, µ) than we were able before, in references [20,21,22]. The coefficient of order β n is analytically obtained, and it is exact.…”
Section: Discussionmentioning
confidence: 69%
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“…In the thermodynamic limit (N → ∞) we show that W(β, µ) can be derived from an auxiliary function ϕ(λ) that is written only in terms of open connected sub-chains. The present approach gives a β-expansion of W(β, µ), whose coefficient of order β n can be obtained exactly for arbitrary value of n. The existence of this auxiliary function allow us to get higher order terms in the β-expansion of W(β, µ) than we were able before, in references [20,21,22]. The coefficient of order β n is analytically obtained, and it is exact.…”
Section: Discussionmentioning
confidence: 69%
“…Differently from our previous works [20,21,22] we calculate directly the β-expansion of the grand potential per site W(β, µ). The weight of each sub-chain in W(β, µ) is obtained, and we show explicitly that the grand potential per site is an intensive quantity.…”
Section: Discussionmentioning
confidence: 99%
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“…In Ref. 25 we calculated the high-temperature expansion of the grand potential of the one-dimensional generalized Hubbard model up to order ␤ 2 . In order to have a quantitative check of the effect due to the presence of the string Hamiltonian in the thermodynamics of the model described by the Hamiltonian ͑7͒ we consider the case: J xy ϭϪJ, J z ϭϪJ⌬, and DϭG/2.…”
Section: Comparison Of the Thermodynamics Of The Composite Spin-mentioning
confidence: 99%
“…In Sec. III we compare the specific heat, mean energy, and static magnetic susceptibility of the onedimensional extended Hubbard model 25 and a modified version of the tetrahedral spin-1/2 model. We do so to quantitatively verify the importance of the string Hamiltonian to the thermodynamics of the model in the high-temperature region.…”
Section: Introductionmentioning
confidence: 99%