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arXiv 0707.1302cond-mat.othercond-mat.str-el
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各向异性光晶格中在费什巴赫共振附近具有排斥在位相互作用的费米子的超流性

Superfluidity of fermions with repulsive on-site interaction in an anisotropic optical lattice near a Feshbach resonance

B. Wang, L. -M. Duan

摘要:

利用数值方法研究了具有粒子辅助隧穿率和排斥在位相互作用(正U)的一维广义哈伯德模型(GHM)的基态性质,该模型描述了各向异性光晶格中费米子原子在宽费什巴赫共振附近的行为.对于我们的计算,我们利用时间演化块抽取(TEBD)算法,这是一个扩展的密度矩阵重整化群,并提供了一个良好的控制方法的一维系统。我们发现,正U GHM,当从半填充空穴掺杂时,表现出准长程超流和电荷密度波序共存的相。这一特征与传统的正U哈伯德模型的性质不同,表明粒子辅助隧穿机制在GHM中引入了质的新物理。

英文摘要:

We present a numerical study on ground state properties of a one-dimensional (1D) general Hubbard model (GHM) with particle-assisted tunnelling rates and repulsive on-site interaction (positive-U), which describes fermionic atoms in an anisotropic optical lattice near a wide Feshbach resonance. For our calculation, we utilize the time evolving block decimation (TEBD) algorithm, which is an extension of the density matrix renormalization group and provides a well-controlled method for 1D systems. We show that the positive-U GHM, when hole-doped from half-filling, exhibits a phase with coexistence of quasi-long-range superfluid and charge-density-wave orders. This feature is different from the property of the conventional Hubbard model with positive-U, indicating the particle-assisted tunnelling mechanism in GHM brings in qualitatively new physics.

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