Haldane charge conjecture in one-dimensional multicomponent fermionic cold atoms

H. Nonne, P. Lecheminant, S. Capponi, G. Roux, E. Boulat
2010 Physical Review B  
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 DMRG calculations, we show the emergence of gapless and gapped phases depending on the parity of N for attractive interactions at half-filling. 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
more » ... art 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.
doi:10.1103/physrevb.81.020408 fatcat:rt45pnb4bfgyvot6s5m5ognmwq