The collapse of antiferromagnetic order as a function of some Quantum tuning parameter such as carrier density or hydrostatic pressure is often accompanied by a region of superconductivity. The corresponding phenomenon in the potentially simpler case of itinerant-electron ferromagnetism, however, remains more illusive. In this paper we consider the reasons why this may be so and summaries evidence suggesting that the obstacles to observing the phenomenon are apparently overcome in a few metallic ferromagnets. A new twist to the problem presented by the recent discoveries in ferroelectric symmetric systems and new graphite intercalate superconductors will also be discussed.

Because the key issue in Quantum information and Quantum computing is entanglement, the investigation of the effects of environment, as a source of Quantum dissipation, and interaction between environment and system on entanglement and Quantum phase transition is important. In this paper, we consider two-qubit system in the anisotropic Heisenberg XXZ model with the Dzyaloshinskii-moriya interaction, and accompanied Quantum dissipation. Using Lindblad dynamics, the coupling effect and also temperature effect on concurrence, as a measure of entanglement of system, is obtained. The role of DM interaction parameters in the evolution of entanglement is investigated. Furthermore, using derivative of concurrence, the effects of dissipation and DM interaction parameter on Quantum phase transition are obtained. It should be noted that spin-orbit interaction or DM parameter intensively influence the process of impressments of dissipation on entanglement measure and Quantum phase transition. The current research is very important in the topics of nanometric systems.

In this study, we explore the localization and transport behaviors of a one-dimensional system using a hybrid model that combines the Power-Law Random Banded Matrix (PRBM) model and the Random Dimer (RD) model. The primary objective of this research is to examine phase transitions and the influence of system parameters on Quantum states. To achieve a precise analysis of these transitions, we utilize quantities such as the participation ratio and the energy level spacing ratio, each providing valuable insights into the system's dynamics. The results indicate that by varying parameters α and , the transition from extended to localized states can be effectively controlled. Specifically, α emerges as a critical factor in determining phase transitions, playing a key role in inducing phase shifts. This hybrid model, with its capacity for accurate simulation, enables a comprehensive examination of Quantum behaviors in complex systems and paves the way for future studies on the effects of disorder and random variations in Quantum phase transitions. This research establishes a robust foundation for deeper understanding of phase transition mechanisms in disordered systems.

We consider the sign of holographic n-partite information in holographic model with momentum relaxation. The system consists n disjoint strips with the same separation and width. The momentum dissipation is achieved by the spatially dependent scalar fields. We particularly show tripartite information is always negative, which implies that the holographic mutual information is monogamous. We also study the monogamy property of 4-partite information by considering the sign of holographic 5-partite information. It is shown that in 2-dimensional dual field theory, the 4-partite information holds the monogamy relation. Finally, we examine the holographic Quantum phase transition of these quantities. Our results indicates that in the presence of momentum relaxation parameter, the transition takes place in smaller separation of subsystems.

In this paper, we investigate the entanglement dynamics of a two qutrits system interacting with a spin environment. Using negativity as the entanglement measure, we study the entanglement dynamics of the system. The calculations show that in cases where the entanglement decays quickly, the environment will have a Quantum phase transition.

In this paper, we investigate Quantum renormalization group theory in transverse Ising model on one dimensional chain of spin-1/2 particles. To this end, we employ recursion relations to Quantum renormalization of coherence measure at ground state. Coherence measure diagram in terms of intensity of transverse field for higher renormalization steps shows the detection of Quantum phase transition point for transverse Ising model which implies that the coherence measure can be a good indicator of Quantum phase transition in transverse Ising model. Also, we obtain the divergence behavior that governs the first derivative of the coherence measure behavior, near to critical point. Although the coherence measure depends on the basis of writing the density matrix, results show that the Quantum phase transition point detected by coherence measure is independent of selected basis.

Currently, carbon Quantum dots have attracted considerable attention due to their unique properties and desirable advantages. High crystallinity, water solubility, good dispersibility, small size, low toxicity, inexpensive raw materials, high chemical stability, environmental compatibility, low cost, stability under light, desirable charge transfer with advanced electronic conductivity, as well as specific thermal and mechanical properties are some of these features. Carbon Quantum dots have various applications in different fields. Fabrication of precise chemical and biological sensors, bioimaging, solar cells, drug tracking, nanomedicine, light-emitting diodes (LEDs), and electrocatalysts are some of these applications. Biological sensors based on carbon Quantum dots are capable of detecting various metal ions, acids, proteins, biotin, polypeptides, DNA and miRNA, water pollutants, hematin, drugs, vitamins, and other chemicals. In the present study, the properties of carbon Quantum dots and some of their fabrication and applications methods have been addressed. In continuation of the paper, the effect of carbon Quantum dots on important factors in plants such as growth and development, photosynthesis, absorption and transportation of substances, resistance to biotic and abiotic stresses, as well as their application in agriculture has been investigated.