Exact results of the one-dimensional 1/<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="italic">r</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>supersymmetric<i>t</i>-<i>J</i>model without translational invariance

Gruber, C.; Wang, Duofa

doi:10.1103/physrevb.50.3103

Cited by 15 publications

(17 citation statements)

References 31 publications

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“…From previous experience, 10 one may show that this wave function is indeed an eigenstate of the Hamiltonian, with the following eigenenergy:…”

Section: ͑4͒mentioning

confidence: 88%

Exactly solvable extended Hubbard model

Wang

1996

Phys. Rev. B

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In this work, we introduce long range version of the extended Hubbard model. The system is defined on a non-uniform lattice. We show that the system is integrable. The ground state, the ground state energies, the energy spectrum are also found for the system. Another long range version of the extended Hubbard model is also introduced on a uniform lattice, and this system is proven to be integrable.Comment: 10 pages, Latex. Typoes are fixed in this revised versio

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“…From previous experience, 10 one may show that this wave function is indeed an eigenstate of the Hamiltonian, with the following eigenenergy:…”

Section: ͑4͒mentioning

confidence: 88%

Exactly solvable extended Hubbard model

Wang

1996

Phys. Rev. B

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“…In this letter, we provide a proof of the integrability of the long range t-J model and its SU(m|n) generalization with twisted boundary conditions by explicitly constructing an infinite number of simultaneous constants of motion. This construction is a straightforward extension of the methods used in the absence of flux [22][23][24][25][26][27], and is motivated by the mapping of the closed ring onto an equivalent open system where the flux is manifested in twisted boundary conditions. A further consequence of this mapping is that it yields a unified treatment of the integrability of both the open and closed chains.…”

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confidence: 99%

Integrabilities of the long-range t-J models with twisted boundary conditions

Liu

Wang

1997

Phys. Rev. B

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The integrability of the one-dimensional long range supersymmetric t-J model has previously been established for both open systems and those closed by periodic boundary conditions through explicit construction of its integrals of motion. Recently the system has been extended to include the effect of magnetic flux, which gives rise to a closed chain with twisted boundary conditions. While the t-J model with twisted boundary conditions has been solved for the ground state and full energy spectrum, proof of its integrability has so far been lacking. In this letter we extend the proof of integrability of the long range supersymmetric t-J model and its SU (m|n) generalization to include the case of twisted boundary conditions.

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“…Ever since Haldane and Shastry independently introduced the exactly solvable spin chain of 1/r 2 exchange interaction [6,7], there has been considerable activity in studying the variants of the Haldane-Shastry spin chain doped with holes, i.e. the t-J models of long range hopping and exchange [13,14,[18][19][20][21]8,16]. It is interesting that the chiral Hubbard model [10], which at half-filling and in the limit of large but finite on-site energy reduces to the Haldane-Shastry spin chain, is also exactly solvable for any filling numbers and any on-site energy.…”

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confidence: 99%