The Dance of Magnetic Moments: How Pressure Rewrites the Rules of the Quantum World ✛ ✎

Original: "Evidence of a Kondo lattice quantum critical point and of non-Fermi liquid behavior in the intercalated layered system V$$_{5}$$S$$_{8}$$"
arXiv:2408.09956 · 2024-08-19 · arXiv non-exclusive · independent analysis · 2 min
In the crystal V5S8, pressure of 10 GPa suppresses antiferromagnetism and destroys the Fermi liquid, revealing a quantum critical point in a d-electron Kondo lattice.

The dance floor where magnetic moments and conduction electrons take turns leading and following: that is the Kondo lattice in the crystal V5S8. At ambient pressure, this layered vanadium sulfide exhibits an antiferromagnetic transition at 32 K: spins align in antiphase, and conduction electrons form a Fermi liquid with a quadratic temperature dependence of resistance. The Sommerfeld coefficient γ ≈ 70 mJ/(mol·K²) and the coefficient A ≈ 6×10⁻² μΩ·cm/K² indicate an effective mass enhancement of 3–5 times compared to DFT calculations. These are heavy quasiparticles: electrons dressed in a cloud of spin fluctuations.

The Kadowaki–Woods ratio RKW = 1.2×10⁻⁵ μΩ·cm·(mol·K/mJ)² falls into the regime of intermediate mass renormalization. This means that electrons in V5S8 are not as light as in copper, but not as heavy as in classical f-electron compounds.

Pressure changes the music. In a Bridgman cell, where the crystal is compressed to 10 GPa, which is about a hundred thousand times atmospheric pressure, the Néel temperature gradually decreases up to 9 GPa and then drops sharply. Simultaneously, the exponent n in the resistance law ρ = ρ₀ + ATⁿ decreases from 2 to 1. The Fermi liquid is destroyed: instead of a quadratic dependence, resistance becomes linear. This non-Fermi liquid behavior is a hallmark of a quantum critical point, a phase transition at zero temperature driven by quantum fluctuations.

Crystals of V5S8 can be grown as needles up to 1 mm long, which is enough to measure resistance along the c-axis using the four-point method.

Previously, it was thought that quantum criticality required f-electrons: the heavy inner shells of lanthanides and actinides. The work on V5S8 shows for the first time that d-electrons of transition metals can also create a Kondo lattice with a critical point. This extends the Doniach diagram to systems with narrow d-bands and challenges the established view. What happens at pressures above 10 GPa? Do heavy quasiparticles persist there, or does a new non-Fermi liquid phase emerge? Answers will require neutron diffraction under pressure and resistance measurements under more extreme conditions.

The dance floor is not empty. The music has become quieter, but the dancers, the magnetic moments and conduction electrons, continue to move, now without a leader. The quantum critical point in V5S8 reminds us that the boundaries between states of matter are blurred, and pressure can rewrite the rules even for seemingly well-understood materials.

The pressure of 10 GPa at which magnetic order disappears in V5S8 is equivalent to the weight of about a hundred cars placed on a thumbnail.

C_p/T = \gamma + \beta T^2
Low-temperature heat capacity: the linear term γ (Sommerfeld coefficient) reflects the density of electronic states, while the quadratic term β accounts for the phonon contribution.
\rho = \rho_0 + A T^n
Electrical resistivity: for Fermi liquid behavior n=2, while for non-Fermi liquid behavior n≈1. The change in n under pressure indicates quantum criticality.
Scientists
Emile Clapeyron
Concepts
fermi liquid kagome lattice quantum spin liquid kondo effect antiferromagnet Fermi surface Curie temperature crystal lattice fermi level antiferromagnetic order