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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
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An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. For the ionic solid sodium chloride, the lattice energy is the enthalpy change of the process:
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Anisotropy-driven quantum criticality in an intermediate valence system.

Mihael S Grbić1,2, Eoin C T O'Farrell3, Yosuke Matsumoto4

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This summary is machine-generated.

Researchers discovered quantum critical behavior in alpha-YbAlB4, an intermediate valence compound. This finding, driven by anisotropic hybridization, offers a new path to achieving quantum criticality (QC) by bypassing large valence energy scales.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Criticality

Background:

  • Intermetallic compounds with f-electron elements are key for studying strong electron correlations and quantum criticality (QC).
  • Heavy fermion states in these materials are prone to quantum phase transitions but typically require extreme conditions.
  • F-electron valence fluctuations usually lead to paramagnetic Fermi-liquid states, hindering QC.

Purpose of the Study:

  • To investigate quantum critical behavior in intermediate valence compounds.
  • To explore the role of anisotropic hybridization in promoting QC.
  • To identify new pathways for achieving QC under less extreme conditions.

Main Methods:

  • Experimental investigation of the intermediate valence compound α-YbAlB4.
  • Application of low magnetic fields to induce and study phase transitions.
  • Analysis of electronic properties to understand the origin of quantum criticality.

Main Results:

  • Discovery of quantum critical behavior and a Lifshitz transition in α-YbAlB4 under low magnetic fields.
  • Attribution of the QC origin to anisotropic hybridization between conduction and localized f-electrons.
  • Demonstration of QC in a system with a large valence energy scale.

Conclusions:

  • Anisotropic hybridization provides a novel mechanism to achieve quantum criticality.
  • This study bypasses the typical requirement of large valence energy scales for QC.
  • Findings open new avenues for exploring quantum criticality in f-electron systems.