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Luttinger-Liquid Behaviour in 2D: The Variational Approach

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Part of the book series: NATO ASI Series ((NSSB,volume 343))

Abstract

We consider the variational approach to Luttinger liquids in one- and two dimensions. In one dimension the 1/r 2 model solved by Sutherland is considered and shown to include Luttinger-Liquid type correlations. For the two dimensional t — J a wavefunction is introduced which is shown to have an algebraic singularity at the Fermi edge in the momentum distribution function. The possible coexistence of Luttinger Liquid correlations with d-wave superconductivity is discussed.

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Valentí, R., Gros, C. (1995). Luttinger-Liquid Behaviour in 2D: The Variational Approach. In: Baeriswyl, D., Campbell, D.K., Carmelo, J.M.P., Guinea, F., Louis, E. (eds) The Hubbard Model. NATO ASI Series, vol 343. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1042-4_29

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  • DOI: https://doi.org/10.1007/978-1-4899-1042-4_29

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1044-8

  • Online ISBN: 978-1-4899-1042-4

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