Ground-state properties of the one-dimensional attractive Hubbard model with confinement: A comparative study

Ground-state properties of the one-dimensional attractive Hubbard model with confinement: A comparative study
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带约束的一维吸引哈伯德模型的基态特性:比较研究

DOI:
10.1103/physrevb.82.014202
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发表时间:
2010-07
期刊:
Physical Review B (condensed Matter and Materials Physics)
影响因子:
--
通讯作者:
Machida Masahiko
Machida Masahiko
中科院分区:
其他
文献类型:
--
作者:
Hu Ji-Hong;Wang Jing-Jing;Gao Xianlong;Okumura Masahiko;Igarashi Ryo;Yamada Susumu;Machida Masahiko

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我们利用基于Bethe-Anneys的密度泛函理论和密度矩阵重整化方法重新研究了一维吸引Hubbard模型。详细讨论了在弱-中耦合区,不同填充物和不同约束条件下该模型的基态性质。我们调查的基态能量,能隙,对结合能,并比较它们与从典型的Bardeen-Cooper-Schrieffer近似计算。我们发现,基于Bethe-anvillas的密度泛函理论是计算容易,并产生一个准确的描述弱到中等的相互作用强度,不同的填充和限制的基态性质。为了表征在谐波约束下的量子相变,我们计算的热力学刚度,密度泛函保真度,保真度磁化率,分别。结果表明,随着粒子数的增加或吸引作用强度的增加,体系可以从Luther-Emery型相转变为翼部为Luther-Emery型、中心为类绝缘相的复合相.
We revisit the one-dimensional attractive Hubbard model by using the Bethe-ansatz-based density-functional theory and density-matrix renormalization method. The ground-state properties of this model are discussed in details for different fillings and different confining conditions in weak-to-intermediate coupling regime. We investigate the ground-state energy, energy gap, and pair-binding energy and compare them with those calculated from the canonical Bardeen-Cooper-Schrieffer approximation. We find that the Bethe-ansatz-based density-functional theory is computationally easy and yields an accurate description of the ground-state properties for weak-to-intermediate interaction strength, different fillings, and confinements. In order to characterize the quantum phase transition in the presence of a harmonic confinement, we calculate the thermodynamic stiffness, the density-functional fidelity, and fidelity susceptibility, respectively. It is shown that with the increase in the number of particles or attractive interaction strength, the system can be driven from the Luther-Emery-type phase to the composite phase of Luther-Emery-type in the wings and insulatinglike in the center.
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