Mutual information, quantum phase transition, and phase coherence in Kondo systems

Dong, Jian-Jun; Huang, Dongchen; Yang, Yi-feng

doi:10.1103/physrevb.104.l081115

Cited by 12 publications

(3 citation statements)

References 83 publications

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“…明其一阶导数在量子相变点存在奇异行为; 周焕强等 [29] 研究了XY模型的量子互信息, 发现其可以用来表征系统的量子相变. 此外, 当温度较低时, 它们也可以在多种自旋系统中近似地显示出量子临界点 [30−39] .…”

Section: 化群方法研究了Xy自旋系统的量子相干结果表unclassified

Quantum coherence and mutual information of mixed spin-(1/2, 5/2) Ising-<i>XXZ</i> model on quasi-one-dimensional lattices

Sun¹,

Hu²,

Xu³

et al. 2023

Acta Phys. Sin.

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The mixed spin-(1/2,5/2) Ising-XXZ on quasi-one-dimensional lattices can be used to study the properties of some materials (such as heterotrimetallic Fe-Mn-Cu coordination polymer), and the study to this model is beneficial for practical application of such materials in the field of quantum information. The quantum coherence and mutual information are calculated by transfer matrix method, and the effects of Ising interaction, temperature and magnetic field on them are discussed. The results show that the quantum coherence decreases gradually with increasing Ising interaction at extremely low temperatures, while there are a minimum of mutual information in isotropic systems and four minima in anisotropic Δ=4 systems. Furthermore, quantum coherence and mutual information jump abruptly at quantum phase transition points where the first derivatives of them exhibit singular behaviors. The quantum coherence and mutual information at finite temperatures are also studied. As the temperature increases, they decrease monotonously at weak magnetic field and increase firstly and then decrease at higher one, which caused by the competition between thermal fluctuation and magnetic field. Compared with quantum mutual information, quantum coherence exists over a wider range of magnetic field and temperature, which can be easily manipulated experimentally.

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Section: 化群方法研究了Xy自旋系统的量子相干结果表unclassified

Quantum coherence and mutual information of mixed spin-(1/2, 5/2) Ising-<i>XXZ</i> model on quasi-one-dimensional lattices

Sun¹,

Hu²,

Xu³

et al. 2023

Acta Phys. Sin.

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“…L cf takes a bilinear form of conduction electrons and pseudofermions which interact through the two fluctuating auxiliary fields. To avoid the sign problem, a static approximation can be employed by taking V i (τ ) → V i and χ ij (τ ) → χ ij , which ignores temporal fluctuations of the auxiliary fields but takes full account of their spatial fluctuations and statistical distributions [14].…”

Section: Development Of Phase Coherencementioning

confidence: 99%

An emerging global picture of heavy fermion physics

Yang¹

2022

J. Phys.: Condens. Matter

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Recent progresses using state-of-the-art experimental techniques have motivated a number of new insights on heavy fermion physics. This article gives a brief summary of the author's research along this direction. We discuss five major topics including: (1) Development of phase coherence and two-stage hybridization; (2) Two-fluid behavior and hidden universal scaling; (3) Quantum phase transitions and fractionalized heavy fermion liquid; (4) Quantum critical superconductivity; (5) Material-specific properties. These cover the most essential parts of heavy fermion physics and lead to an emerging global picture beyond conventional theories based on mean-field or local approximations.

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“…In this work, we address this issue by proposing a novel theoretical framework to describe heavy electron emergence based on phase coherence. We employ a recentlyproposed static auxiliary field approach for Kondo systems [39] and introduce a gauge-invariant bond phase to characterize spatial correlation of the hybridization fields. This bond phase combines the onsite hybridization fields and inter-site magnetic correlation fields between two spatially separated lattice sites, so its probabilistic distribution tracks directly the spatial development of heavy electron state.…”

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confidence: 99%

Development of long-range phase coherence on the Kondo lattice

Dong,

Yang

2022

Preprint

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Mutual information, quantum phase transition, and phase coherence in Kondo systems

Cited by 12 publications

References 83 publications

Quantum coherence and mutual information of mixed spin-(1/2, 5/2) Ising-<i>XXZ</i> model on quasi-one-dimensional lattices

Quantum coherence and mutual information of mixed spin-(1/2, 5/2) Ising-<i>XXZ</i> model on quasi-one-dimensional lattices

An emerging global picture of heavy fermion physics

Development of long-range phase coherence on the Kondo lattice

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