Competing orders in one-dimensional half-integer fermionic cold atoms: A conformal field theory approach
- 作者：P. Lecheminant ; P. Azaria ; E. Boulat
- 关键词：Cold fermionic atoms ; Conformal field theory ; Bosonization ; Parafermions ; Exotic superfluidity
- 刊名：Nuclear Physics B
- 出版年：2008
- 期刊代码：45_05503213
- 类别：ph
- 出版时间：1 August 2008
- 卷：798
- 期：3
- 页码：443-469
- 文件大小：338 K
摘要
The physical properties of arbitrary half-integer spins F=N−1/2 fermionic cold atoms loaded into a one-dimensional optical lattice are investigated by means of a conformal field theory approach. We show that for attractive interactions two different superfluid phases emerge for F
3/2: A BCS pairing phase, and a molecular superfluid phase which is formed from bound-states made of 2N fermions. In the low-energy approach, the competition between these instabilities and charge-density waves is described in terms of 
parafermionic degrees of freedom. The quantum phase transition for F=3/2,5/2 is universal and shown to belong to the Ising and three-state Potts universality classes respectively. In contrast, for F7/2, the transition is non-universal. For a filling of one atom per site, a Mott transition occurs and the nature of the possible Mott-insulating phases are determined.
3/2: A BCS pairing phase, and a molecular superfluid phase which is formed from bound-states made of 2N fermions. In the low-energy approach, the competition between these instabilities and charge-density waves is described in terms of 7/2, the transition is non-universal. For a filling of one atom per site, a Mott transition occurs and the nature of the possible Mott-insulating phases are determined.