Quantum disentangled liquid in the half-filled Hubbard model

Quantum disentangled liquid in the half-filled Hubbard model
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半填充哈伯德模型中的量子解缠结液体

DOI:
10.1103/physrevb.96.195153
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发表时间:
2016
期刊:
影响因子:
3.7
通讯作者:
M. Fisher
M. Fisher
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
T. Veness;F. Essler;M. Fisher

文献摘要

被引文献

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研究了二分格半填充Hubbard模型中量子解纠缠液体态的存在性。在一维情况下,我们采用可积性和强耦合展开方法的组合来证明确实存在有限的能量密度本征态,在Grover和Fisher的意义上表现出QDL行为[J]。统计,机械。(2014) P1001010.1088/1742-5468/2014/10 / P10010]。表现出QDL性质的态是非典型的,因为它们的熵密度非零,但比相同能量密度下的热态的熵密度小。我们认为,对于u<e:1>,这些后一种热态表现出较弱形式的QDL性质,这延续到高维情况。
We investigate the existence of quantum-disentangled liquid (QDL) states in the half-filled Hubbard model on bipartite lattices. In the one-dimensional case we employ a combination of integrability and strong-coupling expansion methods to argue that there are indeed finite energy-density eigenstates that exhibit QDL behavior in the sense of Grover and Fisher [J. Stat. Mech. (2014) P1001010.1088/1742-5468/2014/10/P10010]. The states exhibiting the QDL property are atypical in the sense that while their entropy density is nonzero, it is smaller than that of thermal states at the same energy density. We argue that for U≫t these latter thermal states exhibit a weaker form of the QDL property, which carries over to the higher dimensional case.