<i>η</i>pairing and off-diagonal long-range order in a Hubbard model

Yang, Chen Ning

doi:10.1103/physrevlett.63.2144

Cited by 592 publications

(615 citation statements)

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“…Yang [20] discovered a class of eigenstates of the Hubbard model which have the property of off-diagonal longrange order (ODLRO) [32], which in turn implies the Meissner effect and flux quantization [33]. Let us begin by introducing the η-operators…”

Section: B η-Pair Superconductivitymentioning

confidence: 99%

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Fermionic entanglement in itinerant systems

Zanardi

Wang

2002

J. Phys. A: Math. Gen.

119

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Section: B η-Pair Superconductivitymentioning

confidence: 99%

“…In Sec. IV the relations between pairwise entanglement of and superconducting correlations are discussed for Two types of superconductivity, BCS-like superconductivity [19], and the so-called η-pair superconductivity [20]. Sec.…”

Section: Introductionmentioning

confidence: 99%

Fermionic entanglement in itinerant systems

Zanardi

Wang

2002

J. Phys. A: Math. Gen.

119

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“…According to the Poincare theorem21, 22 we have E ≤ E~= <Φ~|HIΦ~> <Φ~1 Φ~> , (8) demonstrating that SD belongs to the class of variational techniques. By virtue of the basic assumption we expect that MI « M. In practice MI will depend on the actual choice of the basis vectors <i.e.…”

Section: Stochastic Diagonalizationmentioning

confidence: 99%

Off-Diagonal Long-Range Order in Generalized Hubbard Models

Michielsen

Raedt

1997

Int. J. Mod. Phys. B

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Link to publication in University of Groningen/UMCG research database Citation for published version (APA): Michielsen, K., & Raedt, H. D. (1997). Off-diagonal long-range order in generalized Hubbard models. International Journal of Modern Physics B, 11(11), 1311-1335. https://doi.org/10.1142/S021797929700068X Copyright Other than for strictly personal use, it is not permitted to download or to forward/distribute the text or part of it without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license (like Creative Commons).Take-down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.Downloaded from the University of Groningen/UMCG research database (Pure): http://www.rug.nl/research/portal. For technical reasons the number of authors shown on this cover page is limited to 10 maximum. Download date: 05-04-2019International Journal of Modern Physics B, Vol. 11, No. 11 (1997) We present stochastic diagonalization results for the ground-state energy and the largest eigenvalue of the two-fermion density matrix of the BCS reduced Hamiltonian, the Hubbard model, and the Hubbard model with correlated hopping. The system-size dependence of this eigenvalue is used to study the existence of Off-Diagonal Long-Range Order in these models. We show that the model with correlated hopping and repulsive on-site interaction can exhibit Off-Diagonal Long-Range Order.Analytical results for some special limiting cases indicate that Off-Diagonal Long-Range Order not always implies superconductivity.

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“…superconductivity [3] [4]. Therefore, the relevence to superconductivity of Hubbard models still calls for further investigations.…”

mentioning

confidence: 99%

“…Therefore, the relevence to superconductivity of Hubbard models still calls for further investigations. A convenient concept is off-diagonal long-range order (ODLRO) discussed in detail in [5] which can be studied by η-pairing [3]and its variants.…”

mentioning

confidence: 99%