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arXiv 1002.1147cond-mat.str-elcond-mat.stat-mech
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相互作用的一维无自旋费米子的光谱性质

Spectral Properties of Interacting One-Dimensional Spinless Fermions

Masanori Kohno, Mitsuhiro Arikawa, Jun Sato, Kazumitsu Sakai

摘要:

利用Bethe近似研究了一维晶格上具有最近邻排斥相互作用的无自旋费米子模型的谱性质。虽然它的体积量与自旋为1/2的XXZ链完全相同,但粒子统计的差异对光谱特征产生了重大影响,例如色散关系的无隙点和光谱函数的线形。在这封信中,我们澄清了费米子和玻色子系统之间的光谱特征的差异的Bethe的解决方案的起源。我们还确认,两个字符串的解决方案有相当大的频谱权重在高能量的制度。

英文摘要:

The spectral properties of the spinless fermion model with nearest-neighbor repulsive interactions on a one-dimensional lattice are investigated using the Bethe ansatz. Although its bulk quantities are exactly the same as those of the spin-1/2 XXZ chain, the difference in the statistics of particles causes substantial effects on spectral features, such as gapless points of dispersion relations and line shapes of spectral functions. In this Letter, we clarify the origin of the differences in spectral features between fermionic and bosonic systems in terms of Bethe ansatz solutions. We also confirm that the two-string solutions have considerable spectral weights in the high-energy regime.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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