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Accueil du site > Publications > Publications 2010 > Haldane charge conjecture in one-dimensional multicomponent fermionic cold atoms

Haldane charge conjecture in one-dimensional multicomponent fermionic cold atoms

H. Nonne, P. Lecheminant, S. Capponi, G. Roux, and E. Boulat

par Sylvain Capponi - 22 juin 2009

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.