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Condensed Matter

Condensed Matter is an international, peer-reviewed, open access journal on the physics of condensed matter published quarterly online by MDPI.

Quartile Ranking JCR - Q4 (Physics, Condensed Matter)

All Articles (631)

  • Feature Paper
  • Review
  • Open Access

Flat electronic bands, characterized by a nearly dispersionless energy spectrum, have emerged as fertile ground for exploring strong correlation effects, unconventional magnetism, and topological phases. This review paper provides an overview of the theoretical basis, material realization, and emergent phenomena associated with flat bands. We begin by discussing the geometric and topological origins of flat bands in lattice systems, emphasizing mechanisms such as destructive interference and compact localized states. We will also explain the relationship between quantum metrics and flat bands, which are recent theoretical findings. We then survey various classes of materials—ranging from engineered lattices and Moiré structures to transition metal compounds—where flat bands have been theoretically predicted or experimentally observed. The interplay between flat-band physics and strong correlations is explored through recent developments in ferromagnetism, superconductivity, and various Hall effects. Finally, we outline open questions and potential directions for future research, including the quest for ideal flat-band systems, the role of spin–orbit coupling, and the impact of disorder. This review aims to bridge fundamental concepts with cutting-edge advances, highlighting the rich physics and material prospects of flat bands.

5 December 2025

Number of papers containing the word “flat band”, searched on Web of Science: (accessed on 1 January 2020) https://www.webofscience.com/wos/.

Graphene holds significant promise as an ideal reinforcing phase. However, its tendency to irreversibly aggregate and its unclear impact on electrodeposition mechanisms have hindered the full exploitation of its advantages for enhancing material mechanical properties. In this study, we produced a graphene/Ni composite reinforced with reduced graphene oxide (rGO) via a simple, scalable, and cost-effective electrodeposition approach. The incorporation of graphene not only raised the cathodic polarization potential but also enhanced the transport of ions. As a result, the presence of rGO significantly influenced the grain size, grain distribution, and the proportion of growth twins-3(111). Compared with Ni, the graphene/Ni composite exhibited improvements of 14.8% in strength and 16.8% in fracture elongation. Additionally, first-principles calculations confirmed that superior electronic conductivity and all elastic moduli along with Poisson’s ratio were found to be higher in the composite. Our findings offer fundamental insights into the role of rGO in governing the structural evolution of graphene/metal composites.

5 December 2025

The cyclic voltammogram (a) and Nyquist plots (b) of pure Ni and the graphene/Ni composite (the inset is the equivalent electrical circuit).

The studied Ce0.5Y0.5−XTbXF3 (X = 0, 0.001, 0.002, 0.005, 0.01, and 0.05) nanoparticles were synthesized via the water-based co-precipitation method. All the samples demonstrated diameters in the 17–20 nm range and a hexagonal phase corresponding to the phase of CeF3. Under 266 nm excitation (4f–5d absorption band of Ce3+), the luminescence spectrum shape was notably dependent on temperature. The integrated luminescence intensity ratio (LIR) of Ce3+ and Tb3+ (5D47F3) peaks was chosen as a temperature-dependent parameter. It was shown that the LIR functions linearly decay. The rate of decay decreases with the increase in Tb3+ concentration. This was explained by the fact that in the case of low Tb3+ concentrations, the spectral temperature dependence is mostly based on effective thermal quenching of Ce3+ luminescence. At higher Tb3+ concentrations, there is a higher probability of Ce3+ to Tb3+ energy transfer. Here, the efficiency of the temperature dependence of this process is lower, and the rate of LIR decay is lower as well.

3 December 2025

TEM image of Ce0.5Y0.49Tb0.01F3 nanoparticles (magnification ×300 k).
  • Feature Paper
  • Article
  • Open Access

We investigate the influence of Landau Levels (LLs) and Zeeman energy, induced by an applied magnetic field B, on the critical temperature Tc for two-dimensional (2D) ultraclean superconductors using a fully quantum mechanical approach within the Bardeen–Cooper–Schrieffer (BCS) theory. In contrast to standard BCS theory, it allows for Cooper pair formation between electrons with opposite spins and momenta along the B direction, both on the same or on neighboring LLs. Our quantum mechanical treatment of LLs reveals that the critical temperature Tc for electrons paired on the same LL exhibits oscillations around the BCS critical temperature at low magnetic fields. The Zeeman energy leads to a decrease in Tc(B) with increasing B for electrons paired both on the same and on neighboring LLs. Notably, as the g-factor increases, Tc(B) decreases faster as the magnetic field increases for a larger g-factor than for a smaller one.

29 November 2025

The critical temperature 
  
    
      T
      c
    
    
      (
      B
      )
    
  
 exhibits an oscillatory behavior in a magnetic field for a fully isotropic system, where electrons pair on the same LL without Zeeman splitting.

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Condens. Matter - ISSN 2410-3896