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Condensed Matter > Strongly Correlated Electrons

arXiv:2407.04073 (cond-mat)
[Submitted on 4 Jul 2024 (v1) , last revised 9 Sep 2025 (this version, v4)]

Title: Deconfined quantum critical points in fermionic systems with spin-charge separation

Title: 费米系统中自旋-电荷分离的无约束量子临界点

Authors:Niccolò Baldelli, Arianna Montorsi, Sergi Julià-Farré, Maciej Lewenstein, Matteo Rizzi, Luca Barbiero
Abstract: Deconfined quantum critical points are intriguing transition points not predicted by the Landau-Ginzburg-Wilson symmetry-breaking paradigm which are usually identified by the appearance of a continuous phase transition between locally ordered phases. Here, we reveal the presence of deconfined quantum critical points with unexplored properties. Contrary to previously known examples, we show that the phenomenon of spin-charge separation peculiar to interacting low dimensional fermions can allow for the appearance of partially gapped deconfined quantum critical points. We first infer this point by performing a field theory analysis of generic one-dimensional fermionic systems in the low energy limit. Subsequently, we derive a microscopic model where phase transitions between different locally ordered phases can take place. Here, by performing a numerical analysis we explicitly derive, among others, the gaps, local order parameters and correlation functions behavior, supporting the presence of partially gapped deconfined quantum critical points. Our results thus provide new interesting insights on the widely investigated topic of quantum phase transitions.
Abstract: 非约束量子临界点是未被朗道-金兹堡-威尔逊对称性破缺范式预测的引人入胜的转变点,通常通过局部有序相之间的连续相变来识别。 在这里,我们揭示了具有未探索特性的非约束量子临界点的存在。 与之前已知的例子相反,我们表明相互作用的低维费米子特有的自旋-电荷分离现象可以允许部分间隙非约束量子临界点的出现。 我们首先通过在低能极限下对一般一维费米系统进行场论分析来推断这一点。 随后,我们推导出一个微观模型,其中不同局部有序相之间的相变可能发生。 在这里,通过数值分析,我们明确推导出间隙、局部序参量和关联函数的行为,支持部分间隙非约束量子临界点的存在。 因此,我们的结果为广泛研究的量子相变主题提供了新的有趣见解。
Comments: 15 pages, 8 figures
Subjects: Strongly Correlated Electrons (cond-mat.str-el) ; Quantum Gases (cond-mat.quant-gas)
Cite as: arXiv:2407.04073 [cond-mat.str-el]
  (or arXiv:2407.04073v4 [cond-mat.str-el] for this version)
  https://doi.org/10.48550/arXiv.2407.04073
arXiv-issued DOI via DataCite

Submission history

From: Niccolò Baldelli [view email]
[v1] Thu, 4 Jul 2024 17:30:48 UTC (539 KB)
[v2] Wed, 24 Jul 2024 12:29:35 UTC (688 KB)
[v3] Wed, 31 Jul 2024 12:45:12 UTC (688 KB)
[v4] Tue, 9 Sep 2025 07:13:08 UTC (696 KB)
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