Haldane charge conjecture in one-dimensional multicomponent fermionic cold atoms

H. Nonne 1, P. Lecheminant 1, Sylvain Capponi 2, G. Roux 3, E. Boulat 4

Physical Review B 81 (2010) 020408 R

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

  • 1. Laboratoire de Physique Théorique et Modélisation (LPTM),
    CNRS : UMR8089 – Université de Cergy Pontoise
  • 2. Laboratoire de Physique Théorique - IRSAMC (LPT),
    CNRS : UMR5152 – Université Paul Sabatier - Toulouse III
  • 3. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 4. Matériaux et Phénomènes Quantiques (MPQ),
    CNRS : UMR7162 – CNRS : FR2437 – Université Paris VII - Paris Diderot