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Haldane charge conjecture in one-dimensional multicomponent fermionic cold atoms

H. Nonne, P. Lecheminant, S. Capponi, G. Roux, and E. Boulat
Phys. Rev. B 81, 020408(R) – Published 22 January 2010

Abstract

A Haldane conjecture is revealed for spin-singlet charge modes in 2N-component fermionic cold atoms loaded into a one-dimensional optical lattice. By means of a low-energy approach and density matrix renormalization group calculations, we show the emergence of gapless and gapped phases depending on the parity of N for attractive interactions at half-filling. The analog of the Haldane phase of the spin-1 Heisenberg chain is stabilized for N=2 with nonlocal string charge correlation and pseudo-spin-1/2 edge states. At the heart of this even-odd behavior is the existence of a spin-singlet pseudo-spin-N/2 operator which governs the low-energy properties of the model for attractive interactions and gives rise to the Haldane physics.

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  • Received 20 November 2009

DOI:https://doi.org/10.1103/PhysRevB.81.020408

©2010 American Physical Society

Authors & Affiliations

H. Nonne1, P. Lecheminant1, S. Capponi2, G. Roux3, and E. Boulat4

  • 1Laboratoire de Physique Théorique et Modélisation, CNRS UMR 8089, Université de Cergy-Pontoise, Site de Saint-Martin, F-95300 Cergy-Pontoise Cedex, France
  • 2Laboratoire de Physique Théorique, CNRS UMR 5152, Université Paul Sabatier, F-31062 Toulouse, France
  • 3Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud, CNRS UMR 8626, 91405 Orsay, France
  • 4Laboratoire Matériaux et Phénomènes Quantiques, CNRS UMR 7162, Université Paris Diderot, 75013 Paris, France

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Issue

Vol. 81, Iss. 2 — 1 January 2010

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